A cantilever beam with the length of 1.2-m is subjected to a load of P = 400-N. Find: a-The stresses at points H and K, 17-mm and 5-mm from the Neutral Axis. b-The total tensile or compressive force F acting on the 3-mm x 56-mm top portion of the section. Answers: a: σ.. 92.5 MPa σ = + 27.2 MPa b: H F 12,400-N in tension 56 mm 3 mm y K 5 mm 17 mm ↓ 42 mm H 3 mm 20 mm 1|20 3 mm Cross Section

A cantilever beam with the length of 1.2-m is subjected to a load of P = 400-N. Find: a-The stresses at points H and K, 17-mm and 5-mm from the Neutral Axis. b-The total tensile or compressive force F acting on the 3-mm x 56-mm top portion of the section. Answers: a: σ.. 92.5 MPa σ = + 27.2 MPa b: H F 12,400-N in tension 56 mm 3 mm y K 5 mm 17 mm ↓ 42 mm H 3 mm 20 mm 1|20 3 mm Cross Section

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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This is not a quiz question. It is part of a study review with the solution given.

Question 1:
A cantilever beam with the length of 1.2-m is subjected to a load of P = 400-N. Find:
a-The stresses at points H and K, 17-mm and 5-mm from the Neutral Axis.
b-The total tensile or compressive force F acting on the 3-mm x 56-mm top portion of the section.
Answers:
a:
=-92.5 MPa
σ = + 27.2 MPa
b: F 12,400-N in tension
y
56 mm
3 mm
K
5 mm
Z
H
17 mm
3 mm
||20 mm||
3 mm
Cross Section
42 mm

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Step 1: Given:

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Step 2: Finding second moment area of section about neutral axis:

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Step 3: Finding stress at K:

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Step 4: Finding stress at H:

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Step 5: Finding the total tensile or compressive force F acting on the 3-mm x 56-mm top portion:

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