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(1) The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in member BC becomes 1500 N. Determine the largest load w it can support. (Supports A & C are pinned and there is an internal hinge at B) 4 m- D T 4 m W B 4 m 3 m C

(1) The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in member BC becomes 1500 N. Determine the largest load w it can support. (Supports A & C are pinned and there is an internal hinge at B) 4 m- D T 4 m W B 4 m 3 m C

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) The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in member BC becomes 1500 N. Determine the largest load \( w \) it can support. (Supports A & C are pinned and there is an internal hinge at B) ### Diagram Description: The diagram shows a beam structure with specific dimensions and support conditions. - **Beam AB** is horizontally placed with a distributed load \( w \) applied over its length. - A pinned support is located at point A. - The beam section AB is 8 meters long, divided into two equal sections of 4 meters each, with point D marking the mid-section. - **Beam BC** is inclined at an angle, extending 3 meters vertically downward and 4 meters horizontally from point B to point C. - A pinned support is also located at point C. - There is an internal hinge located at point B, which is the junction between the horizontal beam AB and the inclined beam BC. This hinge allows rotation but not translation. - The beam rests on the ground at points A and C, providing vertical support reactions. ### Objective: - Calculate the maximum load \( w \) that can be supported by the beam before either the moment limit at point D or the normal force limit in member BC is exceeded.
Transcribed Image Text:### Problem Statement: (1) The beam AB will fail if the maximum internal moment at D reaches 800 Nm or the normal force in member BC becomes 1500 N. Determine the largest load \( w \) it can support. (Supports A & C are pinned and there is an internal hinge at B) ### Diagram Description: The diagram shows a beam structure with specific dimensions and support conditions. - **Beam AB** is horizontally placed with a distributed load \( w \) applied over its length. - A pinned support is located at point A. - The beam section AB is 8 meters long, divided into two equal sections of 4 meters each, with point D marking the mid-section. - **Beam BC** is inclined at an angle, extending 3 meters vertically downward and 4 meters horizontally from point B to point C. - A pinned support is also located at point C. - There is an internal hinge located at point B, which is the junction between the horizontal beam AB and the inclined beam BC. This hinge allows rotation but not translation. - The beam rests on the ground at points A and C, providing vertical support reactions. ### Objective: - Calculate the maximum load \( w \) that can be supported by the beam before either the moment limit at point D or the normal force limit in member BC is exceeded.
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