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</style><table class="infobox"><caption class="infobox-title">Howe Truss Bridge</caption><tbody><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"></span><div class="infobox-caption">The <a href="Park's_Gap_Bridge" title="Park's Gap Bridge">Park's Gap Bridge</a>, <a href="Berkeley_County%2C_West_Virginia" title="Berkeley County, West Virginia">Berkeley County, West Virginia</a>,</div></td></tr><tr><th scope="row" class="infobox-label">Carries</th><td class="infobox-data"><a href="Pedestrian" title="Pedestrian">Pedestrians</a>, <a href="Automobile" class="mw-redirect" title="Automobile">automobiles</a>, <a href="Truck" title="Truck">trucks</a>, <a href="Light_rail" title="Light rail">light rail</a>, <a href="Heavy_rail" class="mw-redirect" title="Heavy rail">heavy rail</a></td></tr><tr><th scope="row" class="infobox-label">Span range</th><td class="infobox-data">Short to medium</td></tr><tr><th scope="row" class="infobox-label">Material</th><td class="infobox-data"><a href="Timber" class="mw-redirect" title="Timber">Timber</a>, <a href="Iron" title="Iron">iron</a>, <a href="Steel" title="Steel">steel</a></td></tr><tr><th scope="row" class="infobox-label">Movable</th><td class="infobox-data">No</td></tr><tr><th scope="row" class="infobox-label">Design effort</th><td class="infobox-data">Low</td></tr><tr><th scope="row" class="infobox-label"><a href="Falsework" title="Falsework">Falsework</a> required</th><td class="infobox-data">Yes</td></tr></tbody></table>
<p>A <b>Howe truss</b> is a <a href="Truss_bridge" title="Truss bridge">truss bridge</a> consisting of chords, verticals, and diagonals whose vertical members are in tension and whose diagonal members are in compression. The Howe truss was invented by <a href="William_Howe_(architect)" title="William Howe (architect)">William Howe</a> in 1840, and was widely used as a bridge in the mid to late 1800s.
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<div class="mw-heading mw-heading2"><h2 id="Development">Development</h2></div>

<p>The earliest bridges in North America were made of wood, which was abundant and cheaper than stone or masonry. Early wooden bridges were usually of the <a href="Lattice_truss_bridge" title="Lattice truss bridge">Towne lattice truss</a> or <a href="Burr_Truss" title="Burr Truss">Burr truss</a> design. Some later bridges were McCallum trusses (a modification of the Burr truss). About 1840, iron rods were added to wooden bridges. The <a href="Truss_bridge#Pratt_truss" title="Truss bridge">Pratt truss</a> used wooden vertical members in compression with diagonal iron braces. The Howe truss used iron vertical rods in tension with wooden diagonal braces. Both trusses used counter-bracing, which was becoming essential with heavy railroad trains were using bridges.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-0" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>
</p><p>In 1830, <a href="Stephen_Harriman_Long" title="Stephen Harriman Long">Stephen Harriman Long</a> received a patent for an all-wood parallel-chord truss bridge. Long's bridge contained diagonal braces which were prestressed with wedges. The Long truss did not require a connection between the diagonal and the truss, and was able to remain in compression even when the wood shrank somewhat.<sup id="cite_ref-FOOTNOTEGaspariniFields1993109_2-0" class="reference"><a href="#cite_note-FOOTNOTEGaspariniFields1993109-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>
</p><p><a href="William_Howe_(architect)" title="William Howe (architect)">William Howe</a> was a construction contractor in <a href="Massachusetts" title="Massachusetts">Massachusetts</a> when he <a href="Patent" title="Patent">patented</a> the Howe truss design in 1840.<sup id="cite_ref-griggs_3-0" class="reference"><a href="#cite_note-griggs-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> That same year, he established the Howe Bridge Works to build bridges using his design.<sup id="cite_ref-FOOTNOTEKnoblock201260_4-0" class="reference"><a href="#cite_note-FOOTNOTEKnoblock201260-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> The first Howe truss was a single-lane, 75-foot-long (23&nbsp;m) bridge in Connecticut carrying a road.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-1" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The second was a railroad bridge over the <a href="Connecticut_River" title="Connecticut River">Connecticut River</a> in <a href="Springfield%2C_Massachusetts" title="Springfield, Massachusetts">Springfield, Massachusetts</a>. This bridge, which drew extensive praise and attention,<sup id="cite_ref-griggs_3-1" class="reference"><a href="#cite_note-griggs-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> had seven spans and was 180 feet (55&nbsp;m) in length.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-2" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Both bridges were erected in 1840.<sup id="cite_ref-griggs_3-2" class="reference"><a href="#cite_note-griggs-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-3" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> One of Howe's workmen, <a href="Amasa_Stone" title="Amasa Stone">Amasa Stone</a>, purchased for $40,000<sup id="cite_ref-FOOTNOTEHaddad20073_5-0" class="reference"><a href="#cite_note-FOOTNOTEHaddad20073-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> ($1,259,867 in 2024 dollars) in 1842 the rights to Howe's patented bridge design. With his financial backer, Azariah Boody, Stone formed the bridge-building firm of Boody, Stone &amp; Co.,<sup id="cite_ref-FOOTNOTEJohnson1879384_6-0" class="reference"><a href="#cite_note-FOOTNOTEJohnson1879384-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> which erected a large number of Howe truss bridges throughout <a href="New_England" title="New England">New England</a>.<sup id="cite_ref-FOOTNOTEHaddad20073_5-1" class="reference"><a href="#cite_note-FOOTNOTEHaddad20073-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Howe made additional improvements to his bridge, and patented a second Howe truss design in 1846.<sup id="cite_ref-FOOTNOTEJohnson1879360_7-0" class="reference"><a href="#cite_note-FOOTNOTEJohnson1879360-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup>
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<div class="mw-heading mw-heading2"><h2 id="Bridge_design">Bridge design</h2></div>

<p>The Howe truss bridge consists of an upper and lower <i>chord</i>,<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>a<span class="cite-bracket">]</span></a></sup> each chord consisting of two parallel beams and each chord parallel to one another. The web<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>b<span class="cite-bracket">]</span></a></sup> consists of verticals, braces, and counter-braces. Vertical posts connect the upper and lower chords to one another, and create <i>panels</i>. A diagonal brace in each panel strengthens the bridge, and a diagonal counter-brace in each panel enhances this strength.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251–252_12-0" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251–252-12"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> Howe truss bridges may be all wood, a combination of wood and iron, or all iron.<sup id="cite_ref-FOOTNOTEÅkesson200821_13-0" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200821-13"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Whichever design is used, wooden timbers should have square ends without <a href="Mortise_and_tenon" title="Mortise and tenon">mortises and tenons</a>.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-0" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> The design of an all-metal Howe truss follows that of the wooden truss.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-4" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="The_truss">The truss</h2></div>

<p>The parallels in each chord are usually built up out of smaller beams, each small beam fastened to one another to create a continuous beam.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-0" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> In wooden Howe trusses, these slender beams are usually no more than 10 to 15 inches (250 to 380&nbsp;mm) wide and 6 to 8 inches (150 to 200&nbsp;mm) deep.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-5" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> In iron trusses, the upper chord beams are the same length as the panel. Upper chord beams are usually made of <a href="Cast_iron" title="Cast iron">cast iron</a>, while the lower chord beams are of <a href="Wrought_iron" title="Wrought iron">wrought iron</a>.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-6" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> A minimum of three small beams are used,<sup id="cite_ref-FOOTNOTEThayer191369_16-0" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> each uniform in width and depth.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-1" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> <a href="Fishplate" title="Fishplate">Fishplates</a> are usually used to splice beams together.<sup id="cite_ref-FOOTNOTEThayer191369_16-1" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> (Lower chord beams may have eyes on each end, in which case they are fastened together with bolts, <a href="Split_pin" title="Split pin">pins</a>, or <a href="Rivet" title="Rivet">rivets</a>.)<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-7" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> In wooden trusses, <a href="Cotter_(pin)" title="Cotter (pin)">cotters</a> and iron bolts are used every 4 feet (1.2&nbsp;m) to connect the beams of the upper chord to one another.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-8" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>c<span class="cite-bracket">]</span></a></sup> In the lower chord of a wooden bridge, <a href="Clamp_(tool)" title="Clamp (tool)">clamps</a> are used to couple beams together.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-10" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>
</p><p>Although generally of the same length,<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-1" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> beams are positioned so that a splice (the point where the end of two beams meet) is near the point where two panels meet<sup id="cite_ref-FOOTNOTEThayer191369_16-2" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> but not adjacent to the splice in an adjacent pair of beams.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-2" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEThayer191369_16-3" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup>
</p><p>The individual small beams which make up a parallel in a chord are separated along their long side by a space equal to the diameter of the vertical posts,<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-3" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> usually about 1 inch (25&nbsp;mm).<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-11" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> This allows the vertical posts to pass through the parallel in the chord.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-4" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Batten plates<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>d<span class="cite-bracket">]</span></a></sup> are placed diagonally between the members of a chord, and nailed in place to reduce bending and to act as a <a href="Shim_(spacer)" title="Shim (spacer)">shim</a> to provide ventilation between chord members.<sup id="cite_ref-FOOTNOTEThayer191375_20-0" class="reference"><a href="#cite_note-FOOTNOTEThayer191375-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup>
</p><p>The middle third of the lower chord is always reinforced by one or more beams <a href="Bolt_(fastener)" title="Bolt (fastener)">bolted</a> to the chord. This reinforcement is generally one-sixth the width of the cross-section of the lower chord.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-0" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> If a wood chord needs to be strengthened even more, additional slender beams may be bolted to the middle third of the each side of the lower chord.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-2" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> When construction is complete, the upper chord of a Howe truss bridge will be in <a href="Compression_member" title="Compression member">compression</a>, while the lower chord is in <a href="Tension_member" title="Tension member">tension</a>.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-5" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading3"><h3 id="The_web">The web</h3></div>

<p>Vertical posts connect the upper and lower chords, and divide the truss into panels.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-6" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> The Howe truss usually uses iron or steel verticals.<sup id="cite_ref-FOOTNOTEThayer191368_22-0" class="reference"><a href="#cite_note-FOOTNOTEThayer191368-22"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> These are straight and round,<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-12" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> slightly reduced in circumference at the ends, and a <a href="Screw_thread" title="Screw thread">screw thread</a> added.<sup id="cite_ref-FOOTNOTEThayer191368_22-1" class="reference"><a href="#cite_note-FOOTNOTEThayer191368-22"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> The vertical usually passes through the center of the angle block<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-13" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> and then through space left in the upper and lower chord.<sup id="cite_ref-FOOTNOTEThayer191369_16-4" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> A nut is used to secure the vertical post to the chord. Special plates or <a href="Washer_(hardware)" title="Washer (hardware)">washers</a> of wood or metal are used to help distribute the stress induced by the vertical post onto the chords.<sup id="cite_ref-FOOTNOTEThayer191368_22-2" class="reference"><a href="#cite_note-FOOTNOTEThayer191368-22"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-14" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>e<span class="cite-bracket">]</span></a></sup> Vertical posts are in tension,<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-7" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> which is induced by tightening the nuts on the vertical bars.<sup id="cite_ref-FOOTNOTEÅkesson200821–22_24-0" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200821–22-24"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup>
</p><p>Braces are diagonal beams which connect the bottom of a vertical post to the top of the next vertical post.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-8" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> They are placed in the same plane as the chord.<sup id="cite_ref-FOOTNOTEThayer191369_16-5" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Unlike iron or steel braces which are built up, wooden braces are cut to length.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-16" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Where the parallel in a chord has a thickness of <i>x</i> number of beams, each brace should have a thickness of <i>x</i> – 1 beams.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-9" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>f<span class="cite-bracket">]</span></a></sup> The depth-to-width ratio of each member of a diagonal brace should be no greater than that of the brace as a whole.<sup id="cite_ref-FOOTNOTEThayer191375_20-1" class="reference"><a href="#cite_note-FOOTNOTEThayer191375-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> Braces may be a single piece, or several pieces spliced together with fishplate.<sup id="cite_ref-FOOTNOTEThayer191369_16-6" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Braces are in compression<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-10" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> due to the tightening of the nuts on the verticals.<sup id="cite_ref-FOOTNOTEÅkesson200821–22_24-1" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200821–22-24"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGaspariniFields1993109_2-1" class="reference"><a href="#cite_note-FOOTNOTEGaspariniFields1993109-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>
</p><p>Counter-braces are diagonal beams which connect the bottom of a vertical post to the top of the next vertical post, and run roughly perpendicular to braces.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-11" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> They are placed in the same plane as the chord,<sup id="cite_ref-FOOTNOTEThayer191369_16-7" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> are generally uniform in size,<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-1" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> and should have a thickness one beam less than a brace.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-12" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Unlike braces, counter-braces are a single piece.<sup id="cite_ref-FOOTNOTEThayer191369_16-8" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Generally speaking, a bridge of six panels or less (about 75 feet (23&nbsp;m) long) needs no counter-bracing. An eight-panel truss requires counter-braces in every panel but the end panels, and these should be at least one-fourth as strong as the braces. A 10-panel truss requires counter-braces in every panel but the end panels, and these should be at least one-half as strong as the braces. A Howe truss bridge can be strengthened to achieve a <a href="Structural_load#Live_load,_imposed_loads,_transient_load" title="Structural load">live load</a> to <a href="Structural_load#Dead_load" title="Structural load">dead load</a> ratio of 2-to-1. If this ratio is 2-to-1 or greater, then a six-panel truss must have counter-braces and these must at least one-third as strong as the braces. The counter-braces in an eight-panel truss must be at least two-thirds as strong as the braces, and the counter-braces in a 10-panel truss must be at least equal in strength to the braces.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-3" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> If rapidly moving live loads of any ratio are expected on the Howe truss, then the counter-braces used in the center panel should be equal in strength to the braces, and the panel next to the end panel should have counter-braces at least one-half as strong as the braces.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-2" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup>
</p><p>Where diagonal braces and counter-braces meet, they are usually bolted together.<sup id="cite_ref-FOOTNOTEThayer191369_16-9" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup>
</p>

<p>Braces and counter-braces are held in place with angle blocks.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-13" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Angle blocks are triangular in cross-section<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-14" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> and should be the same height<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-15" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> and width as the parallel of the chord.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-17" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Angle blocks may be made of wood or iron,<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-16" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> although iron is usually used for permanent structures.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-4" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> Angle blocks are attached upside-down to the upper chord, and right-side-up to the lower chord.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-18" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Angle blocks have lugs—<a href="Flange" title="Flange">flanges</a> or projections used for carrying, seating, or supporting something.<sup id="cite_ref-FOOTNOTEWaddell19162015_18-1" class="reference"><a href="#cite_note-FOOTNOTEWaddell19162015-18"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> The ends of the braces and counter-braces should cut or cast to rest squarely against the angle block.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251–252_12-1" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251–252-12"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-19" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The upper lug may be a single flange that fits into a groove cut into the surface of the diagonal,<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-20" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> or there may be two to four lugs which form an opening into which the brace and counter-brace are seated. The diagonals are kept in place by tightening the nuts on the vertical posts.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-5" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> <a href="Cleat_(nautical)" title="Cleat (nautical)">Cleats</a> can be nailed to a wooden angle block to help keep braces and counter-braces seated. Alternatively, a hole may be drilled in the lug and brace/counter-brace and a <a href="Dowel" title="Dowel">dowel</a> inserted to hold the beam in place.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-6" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>g<span class="cite-bracket">]</span></a></sup> Iron angle blocks should have a hole cast in the upper lugs so that a bolt may pass through the lug and brace/counter-brace, securing the braces in place.<sup id="cite_ref-FOOTNOTEThayer191369_16-10" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> The lower lugs in an angle block also have holes cast in them, to permit the angle block to be bolted to the chord.<sup id="cite_ref-FOOTNOTEThayer191369_16-11" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Two or more holes are cast through the center of the angle block, to allow the vertical posts to pass through and be anchored on the other side of the chord.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-21" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>
</p><p>End panels are the four panels on either side of the end of a Howe truss bridge. These should be the same height as the chords, but not more.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-8" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> The upper chord does not extend past the portal<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-3" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> (the space formed by the last four vertical posts at either end of the bridge).<sup id="cite_ref-FOOTNOTEWaddell19162042_27-0" class="reference"><a href="#cite_note-FOOTNOTEWaddell19162042-27"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> The end panels need only a brace, connected from the top of the last vertical post to the end of the lower chord.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-4" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup>
</p><p><a href="Strut" title="Strut">Struts</a> are used to connect the two parallels of the chords to prevent lateral bending and reduce vibration. Two diagonals, connecting to the top of the vertical posts, are used. One of the diagonals should be a single piece, while the other is framed into the first piece or made of two pieces connected to it.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917233_28-0" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917233-28"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> X-braces,<sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>h<span class="cite-bracket">]</span></a></sup> usually made of slender metal rods with threaded ends, are installed between vertical posts to help reduce <a href="Degrees_of_freedom_(mechanics)" title="Degrees of freedom (mechanics)">sway</a>.<sup id="cite_ref-FOOTNOTEThayer191369_16-12" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Knee braces,<sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>i<span class="cite-bracket">]</span></a></sup> usually flat bars with eyelets on either end, are used to connect the last strut and last vertical posts on both ends of the bridge.<sup id="cite_ref-FOOTNOTEThayer191369_16-13" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup>
</p><p>Individual panels may be prefabricated off-site.<sup id="cite_ref-FOOTNOTEÅkesson200821_13-1" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200821-13"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> When panels are connected to one another on-site, shims are used to pack any spaces and bolted in place.<sup id="cite_ref-FOOTNOTEThayer191375_20-2" class="reference"><a href="#cite_note-FOOTNOTEThayer191375-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>j<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading3"><h3 id="The_deck">The deck</h3></div>
<p>Floor beams extend between the parallels of a chord and are used to support the stringers and decking. Floor beams may sit atop the chord below them, or they may be hung from the vertical posts. Floor beams generally have the greatest depth of any beam in the bridge. Floor beams are usually placed where two panels meet. If they are placed somewhere mid-panel, the chord must be reinforced to resist <a href="Bending" title="Bending">bending</a>, <a href="Buckling" title="Buckling">buckling</a>, and <a href="Shear_stress" title="Shear stress">shear stress</a>.<sup id="cite_ref-FOOTNOTEThayer191368_22-3" class="reference"><a href="#cite_note-FOOTNOTEThayer191368-22"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup>
</p><p>Stringers are beams set on top of the floor beams, parallel to the chords. A stringer may have a depth-to-width ratio anywhere from 2-to-1 to 6-to-1. A ratio greater than 6-to-1 is avoided in order to avoid buckling. In practice, most wood stringers are 16 inches (410&nbsp;mm) in width due to limitations in milling. There are usually six stringers in a bridge.<sup id="cite_ref-FOOTNOTEThayer191368_22-4" class="reference"><a href="#cite_note-FOOTNOTEThayer191368-22"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup>
</p><p>Building the deck for a railroad bridge requires that a stringer lie directly beneath each rail, and that a stringer support each end of the <a href="Railroad_tie" title="Railroad tie">railroad ties</a>. Ties are usually 6 by 8 inches (150 by 200&nbsp;mm) in cross-section, and 9 to 12 feet (2.7 to 3.7&nbsp;m) in length. They are set directly on top of the stringers, about 12 inches (300&nbsp;mm) apart. Guard rails 6 by 8 inches (150 by 200&nbsp;mm) in cross-section are set 20 inches (510&nbsp;mm) from the center of the ties, and bolted to every third tie.<sup id="cite_ref-FOOTNOTEThayer191368_22-5" class="reference"><a href="#cite_note-FOOTNOTEThayer191368-22"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Physics_of_a_Howe_truss_bridge">Physics of a Howe truss bridge</h2></div>
<p>The inner truss of a Howe truss is <a href="Statically_indeterminate" title="Statically indeterminate">statically indeterminate</a>. There are two paths for stress during loading, a pair of diagonals in compression and a pair in tension. This gives the Howe truss a level of redundancy which allows it to withstand excessive loading (such as the loss of a panel due to collision).<sup id="cite_ref-FOOTNOTEÅkesson200822_33-0" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200822-33"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup>
</p><p>Prestressing is critical to the proper function of a Howe truss. During its initial construction, the diagonals are connected only loosely to the joints, and rely on prestressing, done at a later stage, to perform correctly. Moreover, diagonals in tension can only withstand stress below the prestressing level. (The size of the member does not matter due to the loose fitting of the diagonal to the joint.) Proper prestressing during construction is therefore critical in the correct performance of the bridge.<sup id="cite_ref-FOOTNOTEÅkesson200824_34-0" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200824-34"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup>
</p><p>Maximum stress is placed on the center of the chords when a live load reaches the center of the bridge, or when the live load extends the length of the bridge. Both the vertical posts and braces at the end of the bridge suffer the highest amount of stress.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-9" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup>
</p><p>The stress affecting counter-braces depends on the ratio of live load to dead load per unit of length, and how the live load is distributed across the bridge. A uniform distribution of live load will put no stress on the counter-braces, while putting live load on only a portion of the bridge will create maximum stress on the center counter-braces.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-10" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup>
</p><p>Because of the stress placed on the bridge, the Howe truss is suitable for spans 150 feet (46&nbsp;m) in length or less.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-5" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> No provision is made in a Howe truss for expansion or contraction due to changes in temperature.<sup id="cite_ref-FOOTNOTEThayer191369_16-14" class="reference"><a href="#cite_note-FOOTNOTEThayer191369-16"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Howe_truss_bridges_in_use">Howe truss bridges in use</h2></div>
<p>The Howe truss was highly economical due to its ease of construction. The wooden pieces can be designed using little but a <a href="Steel_square" title="Steel square">steel square</a> and <a href="Scratch_awl" title="Scratch awl">scratch awl</a>, and the truss can be framed using only an <a href="Adze" title="Adze">adze</a>, <a href="Auger_(drill)" class="mw-redirect" title="Auger (drill)">auger</a>, and <a href="Saw" title="Saw">saw</a>.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-22" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Panels could be prefabricated and transported to the construction site, and sometimes even entire trusses could be manufactured and assembled off-site and transported by rail to the intended location.<sup id="cite_ref-FOOTNOTEÅkesson200821_13-3" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200821-13"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Some sort of <a href="Falsework" title="Falsework">falsework</a>, usually in the form of a <a href="Trestle_bridge" title="Trestle bridge">trestle</a>, is required to erect the bridge.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917233_28-1" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917233-28"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup>
</p>

<p>The development of the Pratt and Howe trusses spurred the construction of iron bridges in the United States. Until 1850, few iron bridges in the country were longer than 50 feet (15&nbsp;m). The simple design, ease of manufacture, and ease of construction of the Pratt and Howe trusses spurred <a href="Benjamin_Henry_Latrobe_II" title="Benjamin Henry Latrobe II">Benjamin Henry Latrobe II</a>, chief engineer of the <a href="Baltimore_and_Ohio_Railroad" title="Baltimore and Ohio Railroad">Baltimore and Ohio Railroad</a>, to build large numbers of iron bridges. After two famous iron bridge collapses (one in the United States, the other in the <a href="United_Kingdom" title="United Kingdom">United Kingdom</a>), few of these were built in <a href="Northern_United_States" title="Northern United States">the North</a>. This meant most iron bridges erected prior to the <a href="American_Civil_War" title="American Civil War">American Civil War</a> were located in <a href="Southern_United_States" title="Southern United States">the South</a>. About 1867, a surge in iron bridge building occurred throughout the United States. The most commonly used designs were the Howe truss, Pratt truss, <a href="Wendel_Bollman" title="Wendel Bollman">Bollman truss</a>, <a href="Fink_truss" title="Fink truss">Fink truss</a>, and <a href="Warren_truss" title="Warren truss">Warren truss</a>.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-23" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">[</span>k<span class="cite-bracket">]</span></a></sup> The Howe and Pratt trusses found favor because they used far fewer members.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206_39-0" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206-39"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> The wooden covered bridge at Bridgeport Stage Park, California, uses a Burr arch in combination with the Howe truss to achieve a 210-foot (64&nbsp;m) span. Built in 1962, it is the world's longest single-span covered wooden bridge.
</p><p>The only maintenance a Howe truss requires is adjustment of the nuts on the vertical posts to equalize strain.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-24" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The diagonals in a wooden Pratt truss proved difficult to keep in proper adjustment, so the Howe truss became the preferred design for a wooden bridge<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-25" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> or for a "transitional" bridge of wood with iron verticals.<sup id="cite_ref-FOOTNOTEGaspariniFields1993109_2-2" class="reference"><a href="#cite_note-FOOTNOTEGaspariniFields1993109-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Engineering professor Horace R. Thayer, writing in 1913, considered the Howe truss to be the best form of wooden truss bridge, and believed it to be the most commonly used truss bridge in the United States at that time.<sup id="cite_ref-FOOTNOTEThayer191367_40-0" class="reference"><a href="#cite_note-FOOTNOTEThayer191367-40"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup>
</p><p>All-iron Howe trusses began to be built about 1845.<sup id="cite_ref-FOOTNOTEGaspariniFields1993109_2-3" class="reference"><a href="#cite_note-FOOTNOTEGaspariniFields1993109-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Examples include a 50-foot-long (15&nbsp;m) iron Howe truss was built for the <a href="Boston_and_Providence_Railroad" title="Boston and Providence Railroad">Boston and Providence Railroad</a><sup id="cite_ref-FOOTNOTEGaspariniFields1993109_2-4" class="reference"><a href="#cite_note-FOOTNOTEGaspariniFields1993109-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-41" class="reference"><a href="#cite_note-41"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> and a 30-foot-long (9.1&nbsp;m) railroad bridge over the <a href="Ohio_and_Erie_Canal" title="Ohio and Erie Canal">Ohio and Erie Canal</a> in Cleveland.<sup id="cite_ref-FOOTNOTEBrockmann2005208_42-0" class="reference"><a href="#cite_note-FOOTNOTEBrockmann2005208-42"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-43" class="reference"><a href="#cite_note-43"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup>
</p><p>Iron, however, was the preferred bridge for automobile and railroads, and the Howe truss did not adapt well to all-iron construction.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-26" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The Pratt truss's single diagonal bracing system meant less cost, and its ability to use wrought-iron stringers under railroad rails and ties, led bridge builders to favor the Pratt over the Howe.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206_39-1" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206-39"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">[</span>l<span class="cite-bracket">]</span></a></sup> Heavier live loads, particularly by railroads, led bridge builders to favor <a href="Plate_girder_bridge" title="Plate girder bridge">plate girder</a> and Towne lattice bridges for spans less than 60 feet (18&nbsp;m), and Warren girder bridges for all other spans.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206_39-2" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206-39"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Use_in_architecture">Use in architecture</h2></div>
<p>Trusses have been widely used in architecture since ancient times.<sup id="cite_ref-FOOTNOTEAmbrose19941–36_45-0" class="reference"><a href="#cite_note-FOOTNOTEAmbrose19941–36-45"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup> The Howe truss is widely used in wood buildings, particularly in providing roof support.<sup id="cite_ref-FOOTNOTEAmbrose1994120,_146,_346_46-0" class="reference"><a href="#cite_note-FOOTNOTEAmbrose1994120,_146,_346-46"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div>
<ul><li><a href="White_Mountain_Central_Railroad" title="White Mountain Central Railroad">White Mountain Central Railroad</a>, a heritage railroad in New Hampshire with what "appears to be the only Howe railroad bridge left in the world"<sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup> (although the active <a href="Amtrak_Susquehanna_River_Bridge" class="mw-redirect" title="Amtrak Susquehanna River Bridge">Amtrak Susquehanna River Bridge</a> is also described as a "Howe deck truss" bridge).</li></ul>
<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>
<dl><dt>Notes</dt></dl>
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<li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text">The chords are the main part of the truss, and must resist sagging.<sup id="cite_ref-FOOTNOTEWaddell19161929_8-0" class="reference"><a href="#cite_note-FOOTNOTEWaddell19161929-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text">The web are those members connecting the chords.<sup id="cite_ref-FOOTNOTEMerrimanJacoby19192_10-0" class="reference"><a href="#cite_note-FOOTNOTEMerrimanJacoby19192-10"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text">According to the industry publication <i>Engineering News</i> in 1879, a channel 0.5 inches (13&nbsp;mm) deep is cut into the beams, and then a 2-inch (51&nbsp;mm) wide cotter pin inserted into the channel and tightened.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-9" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text">Batten plates are simple pieces of iron or steel plate normally used to splice two pieces together, or attached to the flanges of <a href="I-beam" title="I-beam">I-beams</a> or <a href="Structural_channel" title="Structural channel">C-beams</a> to stiffen them.<sup id="cite_ref-FOOTNOTEWaddell19162015_18-0" class="reference"><a href="#cite_note-FOOTNOTEWaddell19162015-18"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text">In cases where the beams of the lower chord have eyes on the ends and a bolt or rivet is used to connect the beams, the end of the vertical post may be a hook rather than a thread, and pass around the bolt or rivet.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-15" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text">For example, if a chord parallel is made of four beams, the diagonal should be made of three beams.</span>
</li>
<li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text">The Army Corps of Engineers says braces may be slightly loose while seated in the lugs.<sup id="cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-7" class="reference"><a href="#cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-29"><span class="mw-cite-backlink"><b><a href="#cite_ref-29">^</a></b></span> <span class="reference-text">An X-brace is any form of brace in which two diagonals intersect.<sup id="cite_ref-FOOTNOTEWaddell19162015_18-2" class="reference"><a href="#cite_note-FOOTNOTEWaddell19162015-18"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-31">^</a></b></span> <span class="reference-text">A knee brace is a short brace diagonally connecting the vertical to an overhead strut.<sup id="cite_ref-FOOTNOTEWaddell19162001_30-0" class="reference"><a href="#cite_note-FOOTNOTEWaddell19162001-30"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-32">^</a></b></span> <span class="reference-text">Howe trusses are easy to prestress. This means that the panels do not need a full attachment with one another, as compression forces reduce the need to counteract tension forces.<sup id="cite_ref-FOOTNOTEÅkesson200821_13-2" class="reference"><a href="#cite_note-FOOTNOTEÅkesson200821-13"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-38"><span class="mw-cite-backlink"><b><a href="#cite_ref-38">^</a></b></span> <span class="reference-text">The Warren truss was developed in 1848,<sup id="cite_ref-FOOTNOTEKurrer201873_35-0" class="reference"><a href="#cite_note-FOOTNOTEKurrer201873-35"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> the Bollman truss in 1852,<sup id="cite_ref-FOOTNOTEBerlow1998196_36-0" class="reference"><a href="#cite_note-FOOTNOTEBerlow1998196-36"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> and the Fink truss in 1854.<sup id="cite_ref-FOOTNOTEBerlow1998210_37-0" class="reference"><a href="#cite_note-FOOTNOTEBerlow1998210-37"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup></span>
</li>
<li id="cite_note-44"><span class="mw-cite-backlink"><b><a href="#cite_ref-44">^</a></b></span> <span class="reference-text">Later, the Pratt truss was improved with a double-web system. These versions are usually called Linville, Murphy, or Whipple trusses.<sup id="cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-27" class="reference"><a href="#cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></span>
</li>
</ol></div></div>
<dl><dt>Citations</dt></dl>
<div class="reflist">
<div class="mw-references-wrap mw-references-columns"><ol class="references">
<li id="cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-12"><sup><i><b>m</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-13"><sup><i><b>n</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-14"><sup><i><b>o</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-15"><sup><i><b>p</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-16"><sup><i><b>q</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-17"><sup><i><b>r</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-18"><sup><i><b>s</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-19"><sup><i><b>t</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-20"><sup><i><b>u</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-21"><sup><i><b>v</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-22"><sup><i><b>w</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-23"><sup><i><b>x</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-24"><sup><i><b>y</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-25"><sup><i><b>z</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-26"><sup><i><b>aa</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879204_1-27"><sup><i><b>ab</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREF&quot;Bridge_Superstructure&quot;_at_Engineering_News1879">"Bridge Superstructure" at <i>Engineering News</i> 1879</a>, p.&nbsp;204.</span>
</li>
<li id="cite_note-FOOTNOTEGaspariniFields1993109-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGaspariniFields1993109_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGaspariniFields1993109_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGaspariniFields1993109_2-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGaspariniFields1993109_2-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGaspariniFields1993109_2-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGaspariniFields1993">Gasparini &amp; Fields 1993</a>, p.&nbsp;109.</span>
</li>
<li id="cite_note-griggs-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-griggs_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-griggs_3-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-griggs_3-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">
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/* end https://en.wikipedia.org/ */
</style><cite id="CITEREFGriggs2014" class="citation journal cs1">Griggs, Frank Jr. (November 2014). <a rel="nofollow" class="external text" href="http://www.structuremag.org/?p=7599">"Springfield Bridge for Western Railroad"</a>. <i>Structure</i><span class="reference-accessdate">. Retrieved <span class="nowrap">January 19,</span> 2016</span>.</cite></span>
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<li id="cite_note-FOOTNOTEHaddad20073-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEHaddad20073_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHaddad20073_5-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFHaddad2007">Haddad 2007</a>, p.&nbsp;3.</span>
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<li id="cite_note-FOOTNOTEJohnson1879360-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJohnson1879360_7-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJohnson1879">Johnson 1879</a>, p.&nbsp;360.</span>
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<li id="cite_note-FOOTNOTEWaddell19161929-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWaddell19161929_8-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWaddell1916">Waddell 1916</a>, p.&nbsp;1929.</span>
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<li id="cite_note-FOOTNOTEMerrimanJacoby19192-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMerrimanJacoby19192_10-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMerrimanJacoby1919">Merriman &amp; Jacoby 1919</a>, p.&nbsp;2.</span>
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<li id="cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251–252-12"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251–252_12-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251–252_12-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFArmy_Corps_of_Engineers1917">Army Corps of Engineers 1917</a>, pp.&nbsp;251–252.</span>
</li>
<li id="cite_note-FOOTNOTEÅkesson200821-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEÅkesson200821_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEÅkesson200821_13-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEÅkesson200821_13-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEÅkesson200821_13-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFÅkesson2008">Åkesson 2008</a>, p.&nbsp;21.</span>
</li>
<li id="cite_note-FOOTNOTEArmy_Corps_of_Engineers1917252-14"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917252_14-10"><sup><i><b>k</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFArmy_Corps_of_Engineers1917">Army Corps of Engineers 1917</a>, p.&nbsp;252.</span>
</li>
<li id="cite_note-FOOTNOTEArmy_Corps_of_Engineers1917251-15"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-12"><sup><i><b>m</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-13"><sup><i><b>n</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-14"><sup><i><b>o</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-15"><sup><i><b>p</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917251_15-16"><sup><i><b>q</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFArmy_Corps_of_Engineers1917">Army Corps of Engineers 1917</a>, p.&nbsp;251.</span>
</li>
<li id="cite_note-FOOTNOTEThayer191369-16"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEThayer191369_16-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-12"><sup><i><b>m</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-13"><sup><i><b>n</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191369_16-14"><sup><i><b>o</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFThayer1913">Thayer 1913</a>, p.&nbsp;69.</span>
</li>
<li id="cite_note-FOOTNOTEWaddell19162015-18"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEWaddell19162015_18-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEWaddell19162015_18-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEWaddell19162015_18-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFWaddell1916">Waddell 1916</a>, p.&nbsp;2015.</span>
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<li id="cite_note-FOOTNOTEThayer191375-20"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEThayer191375_20-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191375_20-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191375_20-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFThayer1913">Thayer 1913</a>, p.&nbsp;75.</span>
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<li id="cite_note-FOOTNOTEArmy_Corps_of_Engineers1917253-21"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917253_21-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFArmy_Corps_of_Engineers1917">Army Corps of Engineers 1917</a>, p.&nbsp;253.</span>
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<li id="cite_note-FOOTNOTEThayer191368-22"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEThayer191368_22-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191368_22-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191368_22-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191368_22-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191368_22-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEThayer191368_22-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFThayer1913">Thayer 1913</a>, p.&nbsp;68.</span>
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<li id="cite_note-FOOTNOTEÅkesson200821–22-24"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEÅkesson200821–22_24-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEÅkesson200821–22_24-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFÅkesson2008">Åkesson 2008</a>, pp.&nbsp;21–22.</span>
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<li id="cite_note-FOOTNOTEWaddell19162042-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWaddell19162042_27-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWaddell1916">Waddell 1916</a>, p.&nbsp;2042.</span>
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<li id="cite_note-FOOTNOTEArmy_Corps_of_Engineers1917233-28"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917233_28-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEArmy_Corps_of_Engineers1917233_28-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFArmy_Corps_of_Engineers1917">Army Corps of Engineers 1917</a>, p.&nbsp;233.</span>
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<li id="cite_note-FOOTNOTEWaddell19162001-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWaddell19162001_30-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWaddell1916">Waddell 1916</a>, p.&nbsp;2001.</span>
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<li id="cite_note-FOOTNOTEÅkesson200822-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEÅkesson200822_33-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFÅkesson2008">Åkesson 2008</a>, p.&nbsp;22.</span>
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<li id="cite_note-FOOTNOTEÅkesson200824-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEÅkesson200824_34-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFÅkesson2008">Åkesson 2008</a>, p.&nbsp;24.</span>
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<li id="cite_note-FOOTNOTEKurrer201873-35"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKurrer201873_35-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKurrer2018">Kurrer 2018</a>, p.&nbsp;73.</span>
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<li id="cite_note-FOOTNOTEBerlow1998196-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBerlow1998196_36-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBerlow1998">Berlow 1998</a>, p.&nbsp;196.</span>
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<li id="cite_note-FOOTNOTEBerlow1998210-37"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBerlow1998210_37-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBerlow1998">Berlow 1998</a>, p.&nbsp;210.</span>
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<li id="cite_note-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206-39"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206_39-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206_39-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTE&quot;Bridge_Superstructure&quot;_at_''Engineering_News''1879206_39-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREF&quot;Bridge_Superstructure&quot;_at_Engineering_News1879">"Bridge Superstructure" at <i>Engineering News</i> 1879</a>, p.&nbsp;206.</span>
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<div class="mw-heading mw-heading2"><h2 id="Bibliography">Bibliography</h2></div>
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