GATE ME 2014 Set 4 — Question 42
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Engineering Mechanics → Statics → Trusses (Joints & Sections)
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Question
For the truss shown in the figure, the forces and are kN and kN, respectively. The force (in kN) in the member is
All dimensions are in m
Correct answer
(A) 11.25 tension
Solution
Use the method of joints (tension positive). From the figure: , , , , ; kN acts downward at , kN acts upward at . Each inclined member has length m, so its direction cosines are .Joint P (members PQ and PS, load 9 kN down):Joint S (members SP, SQ, ST; no external load):The positive sign means member QS pulls on its joints, i.e. it is in tension. Options with 13.5 kN or compression are therefore wrong.Answer: (A) 11.25 tension
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