**Problem Statement:**Determine the minimum dimension ‘a’ to the nearest mm of the beam’s cross section to safely support the load. The wood has an allowable normal stress of \( \sigma_{\text{allow}} = 15 \, \text{MPa} \) and an allowable shear stress of \( \tau_{\text{allow}} = 2 \, \text{MPa} \).**Diagram Description:**The diagram illustrates a simply supported beam with a concentrated load of 15 kN applied vertically at the midpoint between the supports labeled as A and B. The beam spans a total length of 1.5 meters, with the load applied at 0.5 meters from support A and 1 meter from support B.The cross-section of the beam is rectangular, depicted at the bottom of the diagram. It has a width denoted as \( 2a \) and a height denoted as \( a \). The task is to determine the minimum dimension \( a \) that will allow the beam to safely support the given load, without exceeding the specified normal and shear stress limits.

The minimum value of dimension 'a' will be determined using following steps: 1. Replace supports by…

Determine the minimum dimension 'a' to the nearest mm of the beam's cross section to safely support the load. The wood has an allowable normal stress of gallow =15 MPa and an allowable shear stress of Tall= 2 MPa.

Determine the minimum dimension 'a' to the nearest mm of the beam's cross section to safely support the load. The wood has an allowable normal stress of gallow =15 MPa and an allowable shear stress of Tall= 2 MPa.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Problem Statement:**

Determine the minimum dimension ‘a’ to the nearest mm of the beam’s cross section to safely support the load. The wood has an allowable normal stress of \( \sigma_{\text{allow}} = 15 \, \text{MPa} \) and an allowable shear stress of \( \tau_{\text{allow}} = 2 \, \text{MPa} \).

**Diagram Description:**

The diagram illustrates a simply supported beam with a concentrated load of 15 kN applied vertically at the midpoint between the supports labeled as A and B. The beam spans a total length of 1.5 meters, with the load applied at 0.5 meters from support A and 1 meter from support B.

The cross-section of the beam is rectangular, depicted at the bottom of the diagram. It has a width denoted as \( 2a \) and a height denoted as \( a \). The task is to determine the minimum dimension \( a \) that will allow the beam to safely support the given load, without exceeding the specified normal and shear stress limits.

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