Before the uniformly distributed load is applied, a gap of ốg = 0.5 in. exists between the beam and the support at C. Knowing that the beam is A36 steel, determine the reaction at each support after the load is applied.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Beam and Support Reactions**

Before the uniformly distributed load is applied, a gap of \( \delta_0 = 0.5 \) in. exists between the beam and the support at \( C \). Knowing that the beam is A36 steel, determine the reaction at each support after the load is applied.

**Diagram Explanation:**

- The diagram shows a simply supported beam with an I-beam section labeled \( \text{W18} \times 40 \).
- The beam is subjected to a uniformly distributed load of \( 2 \, \text{kip/ft} \) along its entire span.
- The beam spans between supports \( A \) and \( B \), with an additional support at \( C \).
- The distance from \( A \) to \( C \) is \( 12 \, \text{ft} \), and from \( C \) to \( B \) is also \( 12 \, \text{ft} \).
- There is an initial gap \( \delta_0 = 0.5 \, \text{in.} \) between the beam and the support at \( C \).

This setup requires calculating the reactions at each support after the load modifies the beam's position.
Transcribed Image Text:**Beam and Support Reactions** Before the uniformly distributed load is applied, a gap of \( \delta_0 = 0.5 \) in. exists between the beam and the support at \( C \). Knowing that the beam is A36 steel, determine the reaction at each support after the load is applied. **Diagram Explanation:** - The diagram shows a simply supported beam with an I-beam section labeled \( \text{W18} \times 40 \). - The beam is subjected to a uniformly distributed load of \( 2 \, \text{kip/ft} \) along its entire span. - The beam spans between supports \( A \) and \( B \), with an additional support at \( C \). - The distance from \( A \) to \( C \) is \( 12 \, \text{ft} \), and from \( C \) to \( B \) is also \( 12 \, \text{ft} \). - There is an initial gap \( \delta_0 = 0.5 \, \text{in.} \) between the beam and the support at \( C \). This setup requires calculating the reactions at each support after the load modifies the beam's position.
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