Multiple choice

Directions: A rigid beam is hinged at one end and supported on linear elastic springs (both having a stiffness of ‘k’) at points ‘1’ and ‘2’, and an inclined load acts at ‘2’, as shown.

If the load P equals 100 kN, which of the following options represents forces R1 and R2 in the springs at points ‘1’ and ‘2’?

  1. R1 = 20 kN and R2 = 40 kN

  2. R1 = 50 kN and R2 = 50 kN

  3. R1 = 30 kN and R2 = 60 kN

  4. R1 = 40 kN and R2 = 8O kN
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

 $\text{If} P = 100KN \\ \text{Spring force at point (1)} k \delta_1 = R_1 = \frac{2P}{5} = 40 KN\\ \text{Spring force at point (2)} k \delta_2 = R_2 = \frac{4P}{5} = 80 KN$

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