GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 50 of 65

Marks: +1, -0

The plane truss has hinge supports at

P

and

W

and is subjected to the horizontal forces as shown in the figure (not drawn to the scale)

Representing the tensile force with '

+

' sign and the compressive force with '-' sign, the force in member XW (in

{kN}

, round off to the nearest integer), is

Solution:

Chose the section as shown above and take the FBD of structure above the section X-X

For the above

F B D

apply

∑ M_{Q}=0

(10 × 4)+(10 × 8)+ {F}_{ {xw}}[4]=0

{F}_{ {xw}}=-30 {kN}

(Compression force)

Sign convention while writing equilibrium equation.

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