# Question 6.9 and 6.10 Determine the force in each member of the truss shown. 3 m State whether each member is in tension (T) or compression (C). A C. 1.6 m 12.5kN 12.5 kN 12.5 kN 12.5 kN 8 kN 1.6 m 2.5 m Fig. P6.9

O0WEE6 The Asker · Civil Engineering

6.9

Transcribed Image Text: 6.9 and 6.10 Determine the force in each member of the truss shown. 3 m State whether each member is in tension (T) or compression (C). A C. 1.6 m 12.5kN 12.5 kN 12.5 kN 12.5 kN 8 kN 1.6 m 2.5 m Fig. P6.9
More
Transcribed Image Text: 6.9 and 6.10 Determine the force in each member of the truss shown. 3 m State whether each member is in tension (T) or compression (C). A C. 1.6 m 12.5kN 12.5 kN 12.5 kN 12.5 kN 8 kN 1.6 m 2.5 m Fig. P6.9
&#12304;General guidance&#12305;The answer provided below has been developed in a clear step by step manner.Step1/3Solution for Truss in Fig.6.9 ( as mentioned in Question ) Support Reaction Calculation<path transform="" transform-origin="213 157" d=" M 213 157 L 213 229 " fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="3g4CpjbkiANsjTvpdaWGO"><path transform="" transform-origin="212 229" d=" M 212 229 L 321 229 " fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="zDdWmFTYveEWEjHN6UNEk"><path transform="" transform-origin="314.00000381469727 166.00000762939453" d=" M 314.00000381469727 166.00000762939453 L 345.00000381469727 166.00000762939453 " fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="1" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="xKnU"><path transform="" transform-origin="321.45 282" d=" M 333.45 282 A 11.999999999999996 11.999999999999996 0 1,0 345.45 294 A 11.999999999999996 11.999999999999996 0 0,0 333.45 282 " fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="1" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="70A6"><path transform="" transform-origin="312.45 306" d=" M 312.45 306 L 353.54999999999995 306 " fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="1" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="70A6"><path d=" M 338 157 L 373 157 " marker-end="url(#9j-SJA4xucjpBus58Tmxm-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="9j-SJA4xucjpBus58Tmxm"><path d=" M 338 149 L 338 122 " marker-end="url(#9j-Au5nD_NSrzs2-MmgC8-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="9j-Au5nD_NSrzs2-MmgC8"><path d=" M 384 298 L 357 298 " marker-end="url(#9j-Au5nD_NSrzs2-a-om--end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="9j-Au5nD_NSrzs2-a-om-"><path d=" M 96 157 L 96 187 " marker-end="url(#9j-Au5nD_NSrzs2-a-om-l24z-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="9j-Au5nD_NSrzs2-a-om-l24z">8 KNRCyRCxRFx at Support C \begin{align*} \mathrm{R_(Cx)} & = \mathrm{\frac{{{8}\times{\left({3}+{3}\right)}}}{{{1.6}+{1.6}}}} \\& = \mathrm{{15}} \end{align*}$$\mathrm{{R}_{{{C}{x}}}={15}\ \text{ KN}}$$ Acing away from Support $$\mathrm{{R}_{{{C}{y}}}={8}\ \text{ KN}}$$ Acting Upward Now Ar Support F\begin{align*} \mathrm{R_(Fx)} & = \mathrm{\frac{{{8}\times{\left({3}+{3}\right)}}}{{{1.6}+{1.6}}}} \\& = \mathrm{{15}} \end{align*}$$\mathrm{{R}_{{{F}{x}}}={15}\ \text{ KN}}$$Acting Toward Support Explanation:Truss is Determinate and at pin 2 reactions exist and at roller only one reaction and Momnt at Both support is Zero Step2/3Now Solving Truss for Member force determination Applying at Joint C8 KN15 KNFBCFCE\begin{align*} \mathrm{\sum{F}_{{x}}} &= \mathrm{{0}} \\[3pt]\mathrm{{F}_{{{B}{C}}}} &= \mathrm{+{15}\ \text{ KN}} \\[3pt]\mathrm{\sum{F}_{{y}}} &= \mathrm{{0}} \\[3pt]\mathrm{{F}_{{{C}{E}}}} &= \mathrm{+{8}\ \text{ KN}} \end{align*}Now Applying at Joint F <path d=" M 480 270 L 394.0710678118655 184.07106781186548 " marker-end="url(#d1iCkN7LoThQH_yK-CsoD-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="d1iCkN7LoThQH_yK-CsoD"><path d=" M 477 270 L 477 157 " marker-end="url(#gi7p05iFd3ceRBrsT85vb-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="gi7p05iFd3ceRBrsT85vb"><path d=" M 522 270 L 489 270 " marker-end="url(#lgcEMLsggI_Yofh7XyrU2-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="lgcEMLsggI_Yofh7XyrU2">15 KNFDFFEF<path transform="" transform-origin="358 270" d=" M 480 270 L 358 270 " fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-ed ... See the full answer