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Determine the tensile stress developed in member AB due to a load of P= 500 lb at D. The member AB is ½" thick and 2" wide. 3' 2' В 1/2" x 2" TENSION МЕMBER P = 500 lb E 2'

Determine the tensile stress developed in member AB due to a load of P= 500 lb at D. The member AB is ½" thick and 2" wide. 3' 2' В 1/2" x 2" TENSION МЕMBER P = 500 lb E 2'

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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### Problem Statement 1. Determine the tensile stress developed in member \( AB \) due to a load of \( P = 500 \, \text{lb} \) at \( D \). The member \( AB \) is \( \frac{1}{2} \) inch thick and 2 inches wide. ### Diagram Explanation The diagram illustrates a structural frame supported at the base \( E \) and subjected to a downward force \( P \) of 500 pounds at point \( D \). The configuration is as follows: - A horizontal beam \( CD \) is 5 feet long, consisting of a 3-foot section from \( D \) to \( C \) and a 2-foot section from \( C \) to \( B \). - A vertical support \( CE \) is 4 feet tall, divided into two equal sections of 2 feet each. - An inclined tension member \( AB \) extends from \( A \) on the vertical support to \( B \) on the horizontal beam. This member is labeled as a "1/2” x 2” tension member." - The base \( E \) is supported on the ground or another surface. The task is to calculate the tensile stress in the inclined member \( AB \).
Transcribed Image Text:### Problem Statement 1. Determine the tensile stress developed in member \( AB \) due to a load of \( P = 500 \, \text{lb} \) at \( D \). The member \( AB \) is \( \frac{1}{2} \) inch thick and 2 inches wide. ### Diagram Explanation The diagram illustrates a structural frame supported at the base \( E \) and subjected to a downward force \( P \) of 500 pounds at point \( D \). The configuration is as follows: - A horizontal beam \( CD \) is 5 feet long, consisting of a 3-foot section from \( D \) to \( C \) and a 2-foot section from \( C \) to \( B \). - A vertical support \( CE \) is 4 feet tall, divided into two equal sections of 2 feet each. - An inclined tension member \( AB \) extends from \( A \) on the vertical support to \( B \) on the horizontal beam. This member is labeled as a "1/2” x 2” tension member." - The base \( E \) is supported on the ground or another surface. The task is to calculate the tensile stress in the inclined member \( AB \).
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