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A bar of square cross - section has b ee n subjected to an axial tensile load. A plane normal to the axis of loading will have
  • a)
    maximum shear stress and minimum normal stress
  • b)
    maximum shear stress as well as maximum normal stress
  • c)
    maximum normal stress and zero shear stress 
  • d)
    minimum normal stress and zero shear stress
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A bar of square cross - section has b ee n subjected to an axial tensi...
For the plane normal to the axis of loading,
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A bar of square cross - section has b ee n subjected to an axial tensi...
Explanation:

When a bar of square cross-section is subjected to an axial tensile load, the stress distribution within the bar can be analyzed to determine the maximum normal stress and the shear stress.

Normal Stress:
Normal stress is the stress that acts perpendicular to the cross-sectional area of the bar. In this case, when the bar is subjected to an axial tensile load, the normal stress will be maximum on a plane that is perpendicular to the axis of loading. This is because the axial tensile load is directly causing the elongation of the bar in the axial direction, resulting in maximum stress on a plane perpendicular to this direction. Therefore, the maximum normal stress will occur on a plane normal to the axis of loading.

Shear Stress:
Shear stress is the stress that acts parallel to the cross-sectional area of the bar. In this case, when the bar is subjected to an axial tensile load, there will be no shear stress present on any plane normal to the axis of loading. This is because the axial tensile load is causing the bar to elongate uniformly in the axial direction, without any relative displacement between different layers of the bar. Therefore, there will be zero shear stress on a plane normal to the axis of loading.

Conclusion:
Based on the analysis of stress distribution within the bar, it can be concluded that a plane normal to the axis of loading will have maximum normal stress and zero shear stress. This aligns with option 'C' as the correct answer.
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Community Answer
A bar of square cross - section has b ee n subjected to an axial tensi...
Because the planes are complementary planes
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A bar of square cross - section has b ee n subjected to an axial tensile load. A plane normal to the axis of loading will havea)maximum shear stress and minimum normal stressb)maximum shear stress as well as maximum normal stressc)maximum normal stress and zero shear stressd)minimum normal stress and zero shear stressCorrect answer is option 'C'. Can you explain this answer?
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