Question
Download Solution PDFA simply supported beam of 10 m carries a uniformly distributed load (UDL) of 5 kN/m over its entire span. What is the reaction force at each support?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given data:
Span (L) = 10 m
UDL (w) = 5 kN/m
Calculations:
Reaction force at each Support
\(R = {wL \over 2}\)
\(R = {5\times 10 \over 2}=25kN\)
Additional Information
A simply supported beam has two supports: typically one hinged (pinned) and one roller.
When a uniformly distributed load (UDL) is applied across the entire span:
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The load is symmetrical.
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The reactions at both supports are equal because the system is in equilibrium.
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The total vertical reaction must balance the total load, and the moments about any point (usually taken about one support) must also sum to zero.
Last updated on Jun 7, 2025
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