The internal loadings at a section of the beam consist of an axial force of F = 380 N, a shear force of 800 N, and two moment components of M = 38 N⋅m and 40 N⋅m. A) Determine the principal stresses at point A. B) Calculate the maximum in-plane shear stress at point A.
The internal loadings at a section of the beam consist of an axial force of F = 380 N, a shear force of 800 N, and two moment components of M = 38 N⋅m and 40 N⋅m. A) Determine the principal stresses at point A. B) Calculate the maximum in-plane shear stress at point A.
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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The internal loadings at a section of the beam consist of an axial force of F = 380 N, a shear force of 800 N, and two moment components of M = 38 N⋅m and 40 N⋅m.
A) Determine the principal stresses at point A.
B) Calculate the maximum in-plane shear stress at point A.
![The image depicts a 3D block with three points marked: A, B, and C. It includes dimensions and forces acting on it:
1. **Block Dimensions:**
- Height of the block is 200 mm.
- Width is 100 mm.
- Depth is 50 mm.
2. **Point Positions:**
- Point A is located at the top right corner of the block.
- Point B is situated 50 mm below A along the vertical edge.
- Point C is directly below B, 50 mm from B, making it 100 mm from A along the vertical edge.
3. **Forces and Moments:**
- A force vector (\( F \)) of 800 N is acting at a point outside the block to the right.
- A moment (\( M \)) of 40 N·m is applied, depicted by a circular arrow indicating a clockwise rotation in the plane of the page.
This diagram could be used to analyze the effects of the applied force and moment on the structural integrity or balance of the block, often relevant in mechanical or civil engineering contexts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cfd41cc-1e19-4407-a055-92d85bf6c1ec%2F6f01ec77-9b0f-4b3e-9012-2237c5d4961b%2Fc5h6lr_processed.png&w=3840&q=75)
Transcribed Image Text:The image depicts a 3D block with three points marked: A, B, and C. It includes dimensions and forces acting on it:
1. **Block Dimensions:**
- Height of the block is 200 mm.
- Width is 100 mm.
- Depth is 50 mm.
2. **Point Positions:**
- Point A is located at the top right corner of the block.
- Point B is situated 50 mm below A along the vertical edge.
- Point C is directly below B, 50 mm from B, making it 100 mm from A along the vertical edge.
3. **Forces and Moments:**
- A force vector (\( F \)) of 800 N is acting at a point outside the block to the right.
- A moment (\( M \)) of 40 N·m is applied, depicted by a circular arrow indicating a clockwise rotation in the plane of the page.
This diagram could be used to analyze the effects of the applied force and moment on the structural integrity or balance of the block, often relevant in mechanical or civil engineering contexts.
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