Question
Download Solution PDFA simply supported beam of length L carrying a concentrated load W at a section which is at a distance of 'x' from one end. What will be the value of the bending moment at this section?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For a simply supported beam of length \( L \) with a point load \( W \) at a distance \( x \) from one end, the bending moment at that section is:
\( M = R_A \cdot x \)
Where the reaction at the left support is:
\( R_A = \frac{W(L - x)}{L} \)
Substituting:
\( M = \frac{W(L - x)}{L} \times x = W \left( x - \frac{x^2}{L} \right) \)
Last updated on Jul 15, 2025
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