Math Problem Statement
A bar is subjected to a tensile load of 200 N. The cross section of the bar is 20 mm x 5
mm. Find the tensile stress of bar.
Solution
The tensile stress () on a bar subjected to a tensile load is calculated using the formula:
Where:
- is the tensile force applied to the bar.
- is the cross-sectional area of the bar.
Given:
- Tensile force,
- Cross-sectional dimensions of the bar:
First, calculate the cross-sectional area ():
Now, calculate the tensile stress:
Tensile stress:
Would you like further details or clarifications on this problem?
Here are 5 related questions:
- What is the unit of tensile stress?
- How would the stress change if the cross-sectional area doubled?
- What happens to the tensile stress if the force is reduced by half?
- How can tensile stress be reduced in a real-world scenario?
- What are typical applications where tensile stress is crucial to consider?
Tip: Always ensure that force and area are in consistent units when calculating stress!
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Math Problem Analysis
Mathematical Concepts
Physics
Mechanics
Stress and Strain
Formulas
Tensile stress formula: σ = F / A
Theorems
-
Suitable Grade Level
Grades 9-12
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