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A ductile metal bar is subjected to pure shear test and its yield strength was found to be 230 the maximum permissible shear stress on that metal will be:
  • a)
    115
  • b)
    126
  • c)
    131
  • d)
    139
Correct answer is option 'A'. Can you explain this answer?
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A ductile metal bar is subjected to pure shear test and its yield stre...

When ductile metal bar is subjected to pure shear test, maximum permissible shear stress is 115
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A ductile metal bar is subjected to pure shear test and its yield stre...
Understanding Yield Strength in Shear
When a ductile metal bar is subjected to a pure shear test, the yield strength indicates the maximum stress that the material can withstand before permanent deformation occurs. In this case, the yield strength is given as 230 N/mm².
Maximum Permissible Shear Stress
The maximum permissible shear stress (τ_max) can be derived from the yield strength (σ_y) using the relationship between shear and tensile stresses. For ductile materials, a common approximation is:
- τ_max = σ_y / 2
Calculation
Given σ_y = 230 N/mm², the calculation for τ_max is as follows:
- τ_max = 230 N/mm² / 2
- τ_max = 115 N/mm²
Conclusion
Thus, the maximum permissible shear stress on the ductile metal bar is:
- 115 N/mm²
This indicates that the material can safely endure shear stresses up to this limit without undergoing yielding.
Correct Answer
The correct option is:
- a) 115 N/mm²
This result is crucial in engineering design, ensuring safety and integrity when selecting materials for applications subjected to shear forces.
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