GATE 2024 Civil Engineering Q16

Question

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.
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

Accepted Answer

50

Answer

150

Answer

100

Answer

200