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Question
A steel bar ABC of uniform cross-section 100 mm2 is suspended vertically and loaded as shown in the figure. If the lower end of bar C does not move when loads are applied (neglect self-weight), then the value of force P is (Es = 200 kN/mm2)
                                         
A.
24 kN
B.
42 kN
C.
36 kN
D.
15 kN
Answer ( Option A)

24 kN

Solution

Cross-sectional area i.e. A  100 mm2
Modulus of elasticity i.e. E 200 × 103 MPa
Free Body Diagram of Steel Bar
If C point not move, then,
ΔAB + ΔBC = 0
50P – 750 = 450
P = 24 kN

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