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The “w” is a distributed load. Its magnitude is 7 lb/ft. Determine: a) Equivalent Resultant Force : _______________ lb b) Equivalent Resultant location, measured from A: ______________ ft

The “w” is a distributed load. Its magnitude is 7 lb/ft. Determine: a) Equivalent Resultant Force : _______________ lb b) Equivalent Resultant location, measured from A: ______________ ft

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The “w” is a distributed load. Its magnitude is 7 lb/ft. Determine: a) Equivalent Resultant Force : _______________ lb b) Equivalent Resultant location, measured from A: ______________ ft
The image shows a beam labeled "AB" with a non-uniform distributed load. The load is represented by arrows pointing downward along the length of the beam. 1. **Beam Description**: - The left end of the beam is labeled "A". - The right end of the beam is labeled "B". - The total length of the beam is divided into two segments: 18 feet from A to a midpoint, and 14 feet from the midpoint to B. 2. **Load Details**: - The load is triangular and uniformly distributed across the beam from point A to point B. - At point A, the distributed load magnitude begins at \(2w\). - The load decreases linearly to a magnitude of \(w\) at point B. This type of load is often used in structural analysis to illustrate a varying load intensity along a beam, which is common in real-world applications such as roofs or bridges. Understanding how to calculate the resulting bending moments and shear forces in such beams is crucial for ensuring structural integrity.
Transcribed Image Text:The image shows a beam labeled "AB" with a non-uniform distributed load. The load is represented by arrows pointing downward along the length of the beam. 1. **Beam Description**: - The left end of the beam is labeled "A". - The right end of the beam is labeled "B". - The total length of the beam is divided into two segments: 18 feet from A to a midpoint, and 14 feet from the midpoint to B. 2. **Load Details**: - The load is triangular and uniformly distributed across the beam from point A to point B. - At point A, the distributed load magnitude begins at \(2w\). - The load decreases linearly to a magnitude of \(w\) at point B. This type of load is often used in structural analysis to illustrate a varying load intensity along a beam, which is common in real-world applications such as roofs or bridges. Understanding how to calculate the resulting bending moments and shear forces in such beams is crucial for ensuring structural integrity.
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