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HWK 4-1.2-2 Find length, h, in inches of bronze post if beam must remain level. 10k/f 1' 1.5" x 1.5" Bronze post E = 12,000 ksi 36" 3' 1" x 1" Steel post E = 29,000 ksi h"

HWK 4-1.2-2 Find length, h, in inches of bronze post if beam must remain level. 10k/f 1' 1.5" x 1.5" Bronze post E = 12,000 ksi 36" 3' 1" x 1" Steel post E = 29,000 ksi h"

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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 Find length, h, in inches of bronze post if beam must remain 
level

**Physics Homework Problem: HWK 4-1.2-2** **Objective**: Find the length, \( h \), in inches of a bronze post if the beam must remain level. **Problem Statement**: We have a system with a steel post and a bronze post supporting a beam. The beam is subjected to a uniformly distributed load of 10 kip/ft over a section of 4 feet in total (3 feet on the steel post, 1 foot on the bronze post). The material and sectional properties of both posts are provided in the following details: **Diagram Explanation**: - The height of the posts: - The steel post has a height of 36 inches. - The bronze post has an unknown height, \( h \). - **Steel Post**: - Cross-sectional dimensions: 1 inch x 1 inch. - Modulus of Elasticity ( \( E \) ): 29,000 ksi (thousand pounds per square inch). - **Bronze Post**: - Cross-sectional dimensions: 1.5 inches x 1.5 inches. - Modulus of Elasticity ( \( E \) ): 12,000 ksi. - **Distributed Load**: - A load of 10 kip/ft acts along the length of the beam (stretches over 4 feet). **Problem Requirements**: 1. Determine the height \( h \) of the bronze post such that the beam remains level. To solve for \( h \), the deflections of the steel and bronze posts need to be equal so that the beam remains level. This will involve calculating the deflections using the material properties and geometric specifics provided, then setting them equal and solving for the unknown height \( h \) of the bronze post.
Transcribed Image Text:**Physics Homework Problem: HWK 4-1.2-2** **Objective**: Find the length, \( h \), in inches of a bronze post if the beam must remain level. **Problem Statement**: We have a system with a steel post and a bronze post supporting a beam. The beam is subjected to a uniformly distributed load of 10 kip/ft over a section of 4 feet in total (3 feet on the steel post, 1 foot on the bronze post). The material and sectional properties of both posts are provided in the following details: **Diagram Explanation**: - The height of the posts: - The steel post has a height of 36 inches. - The bronze post has an unknown height, \( h \). - **Steel Post**: - Cross-sectional dimensions: 1 inch x 1 inch. - Modulus of Elasticity ( \( E \) ): 29,000 ksi (thousand pounds per square inch). - **Bronze Post**: - Cross-sectional dimensions: 1.5 inches x 1.5 inches. - Modulus of Elasticity ( \( E \) ): 12,000 ksi. - **Distributed Load**: - A load of 10 kip/ft acts along the length of the beam (stretches over 4 feet). **Problem Requirements**: 1. Determine the height \( h \) of the bronze post such that the beam remains level. To solve for \( h \), the deflections of the steel and bronze posts need to be equal so that the beam remains level. This will involve calculating the deflections using the material properties and geometric specifics provided, then setting them equal and solving for the unknown height \( h \) of the bronze post.
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