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Determine the required diameter of the pins at A and B if the allowable shear stress for the material is Tallow = 100 MPa. Both pins are subjected to double shear. %3D 2 kN/m B A 3 m C

Determine the required diameter of the pins at A and B if the allowable shear stress for the material is Tallow = 100 MPa. Both pins are subjected to double shear. %3D 2 kN/m B A 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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Please help. This problem involves finding the required diameter of support pins given the allowable shear stress. Thank you.

**Problem Statement:** Determine the required diameter of the pins at points \( A \) and \( B \) if the allowable shear stress for the material is \(\tau_{\text{allow}} = 100 \, \text{MPa}\). Both pins are subjected to double shear. **Diagram Explanation:** The diagram shows a curved beam supported by pins at points \( A \) and \( B \). There is a distributed load of \( 2 \, \text{kN/m} \) applied along a horizontal beam section connecting points \( A \) and \( B \). The radius of the curved beam from the center of curvature at point \( C \) to the load is \( 3 \, \text{m} \). **Details:** - **Distributed Load:** A uniformly distributed load of \( 2 \, \text{kN/m} \) acts horizontally between \( A \) and \( B \). - **Geometry:** The structure includes two important radii and distances: - Distance from \( A \) to \( B \) is horizontal. - Radius of curvature from \( C \) to the beam is \( 3 \, \text{m} \). Note: The task is to find the diameters of the pins capable of withstanding the given shear stress, considering they are in double shear.
Transcribed Image Text:**Problem Statement:** Determine the required diameter of the pins at points \( A \) and \( B \) if the allowable shear stress for the material is \(\tau_{\text{allow}} = 100 \, \text{MPa}\). Both pins are subjected to double shear. **Diagram Explanation:** The diagram shows a curved beam supported by pins at points \( A \) and \( B \). There is a distributed load of \( 2 \, \text{kN/m} \) applied along a horizontal beam section connecting points \( A \) and \( B \). The radius of the curved beam from the center of curvature at point \( C \) to the load is \( 3 \, \text{m} \). **Details:** - **Distributed Load:** A uniformly distributed load of \( 2 \, \text{kN/m} \) acts horizontally between \( A \) and \( B \). - **Geometry:** The structure includes two important radii and distances: - Distance from \( A \) to \( B \) is horizontal. - Radius of curvature from \( C \) to the beam is \( 3 \, \text{m} \). Note: The task is to find the diameters of the pins capable of withstanding the given shear stress, considering they are in double shear.
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