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.

Draw FBD: taking moment about point A: Cx×3-2×3×32=0Cx=3 KN

Answered: Determine the required diameter of the…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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.

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