Question

A simply supported beam of span 4 m subjected to two-point loads of 60 kN and 40 kN at a distance of 1 m from either supports respectively. An equivalent beam of the same span subjected to 50 kN load at the mid span which produces a vertical deflection of 40 mm and 60 mm at distance of 1 m from either supports. Determine the deflection under the load of 50 kN.

• A. 104
• B. 96
• C. 48
• D. 50

Hint:

In problems involving deflection, use principles like virtual work or energy methods to determine deflections based on given boundary conditions.

Answer 1

The Correct Option is B

To find the deflection under the load of 50 kN, we can apply the principle of virtual work or use the deflection formula for beams. Given the deflections at two points, we can find the corresponding deflection under the 50 kN load using the relationship between loads and deflections. The correct deflection is 96 mm.