Question
Download Solution PDFA simply supported beam of length L loaded by a UDL of W per length all along the whole span. The value of slope at the support will be [E = modulus of elasticity, I = moment of inertia of section of beam]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For a simply supported beam carrying a uniformly distributed load (UDL) of intensity \( W \) across the full span \( L \), the slope at the supports is given by:
\( \theta = \frac{W L^3}{24 E I} \)
Where:
- \( W \) = Load per unit length
- \( L \) = Length of beam
- \( E \) = Modulus of elasticity
- \( I \) = Moment of inertia
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