GATE ME 2016 Set 1 — Question 41
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Engineering Mechanics → Statics → Trusses (Joints & Sections)
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Question
A two-member truss is supporting a load . The axial forces in members and are respectively
Correct answer
(B) √(3)W tensile and 2W compressive
Solution
Consider the equilibrium of joint :
Since the force acts towards the joint to balance the downward load, member is in compression.
Since the force acts away from the joint to balance the leftward component of the compressive force , member is in tension.Thus, tensile and compressive.
1.Vertical Equilibrium ():
Let be the force in member . The vertical component of must balance the load .Since the force acts towards the joint to balance the downward load, member is in compression.
2.Horizontal Equilibrium ():
Let be the force in member . It must balance the horizontal component of .Since the force acts away from the joint to balance the leftward component of the compressive force , member is in tension.Thus, tensile and compressive.
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