A cantilever beam of uniform EI has span equal to 'L'. An upward force W acts at the mid-point of the beam and a downward force P acts at the free end. In order that the deflection at the free end is zero, the relation between P and W should be-A-W = 3P/2B-W = 2PC-W = 16P/5D-W = 5P-C-W = 16P/5

Question

A cantilever beam of uniform EI has span equal to &#39;L&#39;. An upward force W acts at the mid-point of the beam and a downward force P acts at the free end. In order that the deflection at the free end is zero, the relation between P and W should be-A-W = 3P/2B-W = 2PC-W = 16P/5D-W = 5P-C-W = 16P/5

APTITUDE CRACK · Accepted Answer

The correct option is  C W = 16P/5 Deflection at the free end (I.e, P) =PL^3/3EI (downwards). Deflection at the free end due to W, W(L/2) ^3/3EI + W(L/2) ^2/2EI * (L/2) = 5WL^3/48EI (upwards). As given, in order to make deflection at the free end as 0, Upward deflection=downward deflection 5WL^3/48EI = PL^3/3EI. P= 5W/16.

UPSC Civil Service Exam Questions

Q1: A cantilever beam of uniform EI has span equal to 'L'. An upward force W acts at the mid-point of the beam and a downward force P acts at the free end. In order that the deflection at the free end is zero, the relation between P and W should be

For help Students Orientation
Mcqs Questions

Quick Links

Newsletter

UPSC Civil Service Exam Questions

Q1: A cantilever beam of uniform EI has span equal to 'L'. An upward force W acts at the mid-point of the beam and a downward force P acts at the free end. In order that the deflection at the free end is zero, the relation between P and W should be

Solution

For help Students Orientation Mcqs Questions

For help Students Orientation
Mcqs Questions