The bending moment diagram for simply supported beam loaded in it
| The bending moment diagram for simply supported beam loaded in its center is
A. A right angled triangle
B. An isosceles triangle
C. An equilateral triangle
D. A rectangle
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Explanation:
Bending Moment Diagram in a Simply Supported Beam:
In the following figure, a unit load is applied to a simply supported beam at point C at mid of beam length.
The bending moment diagram will be isosceles triangle with maximum ordinate at the centre of the beam.
\(B{M_{x - x}} = \frac{W}{2}x\)
\(B{M_{x = \frac{l}{2}}} = \frac{W}{2}\frac{L}{2} = \frac{{WL}}{4}\)
