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Question

Structural Engineering Question on Analysis of beams

A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertically downward force at 1 m from P, as shown in the figure. The beam is resting on vertical linear springs at the ends P and Q. For the spring at the end P, the spring constant Kp 100 kN/m.
beam is subjected to a 3 kN concentrated vertically downward
If the beam DOES NOT rotate under the application of the force and displaces only vertically, the value of the spring constant KQ (in kN/m) for the spring at the end Q is

A

150

B

100

C

50

D

200

Answer

50

Explanation

Solution

The correct option is (C) : 50.