For the beam shown in the figure: Determine the normal and shear stress at a point located at 4.5 ft from support B and 4 inches from the top of the section. Draw the Mohr's circle for the stresses at that point and calculate the principal stresses and the max in plane shear stress as well as their directions. Show these stresses on appropriately oriented elements.

For the beam shown in the figure: Determine the normal and shear stress at a point located at 4.5 ft from support B and 4 inches from the top of the section. Draw the Mohr's circle for the stresses at that point and calculate the principal stresses and the max in plane shear stress as well as their directions. Show these stresses on appropriately oriented elements.

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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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

For the beam shown in the figure:
Determine the normal and shear stress at a point located at 4.5 ft from
support B and 4 inches from the top of the section.
Draw the Mohr's circle for the stresses at that point and calculate the
principal stresses and the max in plane shear stress as well as their
directions. Show these stresses on appropriately oriented elements.
A
1600 lb
1.5 ft
80 lb/ft
-9 ft
B
1.5 in.
4 in
11.5 in.

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Step 1: given values and free body diagram

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Step 2: reactions calculation

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Step 3: bending moment and normal stress calculation

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Step 4: shear stress calculation

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Step 5: Mohr circle

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