Question
Download Solution PDFThe maximum bending moment in a simply supported beam length L loaded by a concentrated load W at the mid point is given by _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let us assume the concentrated load = P(or W)
RA + RB = P ---(1)
∑MB = 0
\({R_A} \times L - P \times \frac{L}{2} = 0\)
\({R_A} = \frac{P}{2}\)
\({R_B} = \frac{P}{2}\)
The BM will be maximum on the point at which shear force changes its sign.
So the value of bending moment at a distance x = L/2 is:
\({M_{\frac{L}{2}}} = {R_A}\frac{L}{2} = \frac{{PL}}{4}\)
Last updated on May 19, 2025
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