Question

If a concentrated load of 50 kN is applied at point C, then what will be the shear developed at point C? 

• A. 17.5 kN
• B. 27.5 kN
• C. 37.5 kN
• D. 47.5 kN

Hint:

At the point of application of a concentrated load, shear force has a sudden jump equal to the magnitude of the load.

Answer 1

The Correct Option is C

Step 1: Identify the support reactions.
The beam is simply supported at points A and B, and a concentrated load of 50 kN acts at point C.
Step 2: Calculate reactions using equilibrium equations.
Taking moments and vertical force equilibrium, the reaction at support A is found to be 37.5 kN, while the reaction at B is 12.5 kN.
Step 3: Determine shear force at point C.
Shear force at point C just to the left of the applied load is equal to the reaction at A.
\[ V_C = 37.5 \text{ kN} \]
Step 4: Conclusion.
Therefore, the shear developed at point C is 37.5 kN.