Check the midspan deflection of the W12 x 40 girder shown? Neglect the weight of the girder. Assume E = 29 x 106 psi and Ix = 310 inf. Allowable deflection for the total load = (span/240). 2K 4 IK

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Check the midspan deflection of the W12 x 40 girder shown? Neglect the weight of the girder. Assume E = 29 x l0^6 psi and Ix = 310 in^4. Allowable deflection for the total load = (span/240).

**Problem Statement:**

Check the midspan deflection of the W12 x 40 girder shown. Neglect the weight of the girder. Assume \( E = 29 \times 10^6 \) psi and \( Ix = 310 \, \text{in}^4 \). Allowable deflection for the total load = (span/240).

**Diagram Explanation:**

The diagram illustrates a simply supported beam with a total span of 12 feet. The beam has three concentrated loads acting on it:

1. A 1 kip downward force located 4 feet from the left support.
2. A 2 kip downward force located at midspan, 8 feet from the left support (and 4 feet from the right support).
3. Another 1 kip downward force located 4 feet from the right support.

The supports are represented by a triangle at the left end, indicating a pinned support, and a roller support at the right end. The span is divided into three equal segments of 4 feet each.
Transcribed Image Text:**Problem Statement:** Check the midspan deflection of the W12 x 40 girder shown. Neglect the weight of the girder. Assume \( E = 29 \times 10^6 \) psi and \( Ix = 310 \, \text{in}^4 \). Allowable deflection for the total load = (span/240). **Diagram Explanation:** The diagram illustrates a simply supported beam with a total span of 12 feet. The beam has three concentrated loads acting on it: 1. A 1 kip downward force located 4 feet from the left support. 2. A 2 kip downward force located at midspan, 8 feet from the left support (and 4 feet from the right support). 3. Another 1 kip downward force located 4 feet from the right support. The supports are represented by a triangle at the left end, indicating a pinned support, and a roller support at the right end. The span is divided into three equal segments of 4 feet each.
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