A 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? 

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  1. 20 kN
  2. 30 kN
  3. 25 kN
  4. 50 kN

Answer (Detailed Solution Below)

Option 3 : 25 kN
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Detailed Solution

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Explanation:

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:

  • The load is symmetrical.

  • The reactions at both supports are equal because the system is in equilibrium.

  • 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.

 F1 N.M D.K 13.08.2019 D 4

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