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When the two forces are placed on the beam, the diameter of the steel rod (E-200GPa) BC decreases from 40 mm to 39.99 mm. Calculate the magnitude of each force P.

When the two forces are placed on the beam, the diameter of the steel rod (E-200GPa) BC decreases from 40 mm to 39.99 mm. Calculate the magnitude of each force P.

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: When the two forces are placed on the beam, the diameter of the steel rod (E=200 GPa) BC decreases from 40 mm to 39.99 mm. Calculate the magnitude of each force P. ### Diagram Explanation: The diagram provided shows a beam setup with the following details: - A beam is fixed at point A and rests on a roller support at point B. - The beam extends horizontally from point A to point B, which is a distance of 2 meters. - Forces, labeled as P, are applied vertically downwards at two points between A and B, each spaced 1 meter apart. - An inclined steel rod, labeled BC, is attached from point B to point C. - The rod BC has a length of 1 meter vertically and 0.75 meters horizontally. ### Parameters: - Modulus of Elasticity (E) for steel rod BC = 200 GPa. - Original diameter of steel rod BC = 40 mm. - Diameter of steel rod BC after the forces are applied = 39.99 mm. ### Objective: Calculate the magnitude of each force P.
Transcribed Image Text:### Problem Statement: When the two forces are placed on the beam, the diameter of the steel rod (E=200 GPa) BC decreases from 40 mm to 39.99 mm. Calculate the magnitude of each force P. ### Diagram Explanation: The diagram provided shows a beam setup with the following details: - A beam is fixed at point A and rests on a roller support at point B. - The beam extends horizontally from point A to point B, which is a distance of 2 meters. - Forces, labeled as P, are applied vertically downwards at two points between A and B, each spaced 1 meter apart. - An inclined steel rod, labeled BC, is attached from point B to point C. - The rod BC has a length of 1 meter vertically and 0.75 meters horizontally. ### Parameters: - Modulus of Elasticity (E) for steel rod BC = 200 GPa. - Original diameter of steel rod BC = 40 mm. - Diameter of steel rod BC after the forces are applied = 39.99 mm. ### Objective: Calculate the magnitude of each force P.
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