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A rigid beam ABCD is hinged at D and supported by two springs at A and B as shown in the given figure. The beam carries a vertical load P and C. the stiffness of spring at A is 2K and that of B is K. What will be the ratio of forces of spring at A and that of spring at B?

A rigid beam ABCD is hinged at D and supported by two springs at A and B as shown in the given figure. The beam carries a vertical load P and C. the stiffness of spring at A is 2K and that of B is K. What will be the ratio of forces of spring at A and that of spring at B? Correct Answer 3

The rigid beam will rotate about point D, due to the load at C. From similar triangle, δa/2a = δb/3b Force in spring A/Force in spring B = Pa/Pb = 2k/k x 3/2 = 3.

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