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When a column is subjected to an eccentric load, the stress induced in the column will be
- a)direct stress only
- b)bending stress only
- c)shear stress only
- d)direct and bending stress both
Correct answer is option 'D'. Can you explain this answer?
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When a column is subjected to an eccentric load, the stress induced in...
Stress in a Column under Eccentric Load
When a column is subjected to an eccentric load, the stress induced in the column can be analyzed as follows:
Direct Stress:
Direct stress is a result of the axial load acting on the column. It can be calculated using the formula:
σ = P/A
where σ is the direct stress, P is the axial load, and A is the cross-sectional area of the column.
Bending Stress:
Bending stress is a result of the eccentric load causing the column to bend. It can be calculated using the formula:
σ = M*c/I
where σ is the bending stress, M is the bending moment, c is the distance from the centroid of the cross-section to the extreme fiber, and I is the moment of inertia of the cross-section.
Direct and Bending Stress:
When a column is subjected to an eccentric load, both direct and bending stresses are induced in the column. The magnitude of the stresses depends on the eccentricity of the load and the geometry of the column.
The combined effect of direct and bending stress can be calculated using the formula:
σ = (P/A) + (M*c/I)
where σ is the total stress induced in the column.
Conclusion:
Therefore, option D, direct and bending stress both, is the correct answer. When a column is subjected to an eccentric load, both direct and bending stresses are induced in the column, and their combined effect must be considered in the analysis.
When a column is subjected to an eccentric load, the stress induced in the column can be analyzed as follows:
Direct Stress:
Direct stress is a result of the axial load acting on the column. It can be calculated using the formula:
σ = P/A
where σ is the direct stress, P is the axial load, and A is the cross-sectional area of the column.
Bending Stress:
Bending stress is a result of the eccentric load causing the column to bend. It can be calculated using the formula:
σ = M*c/I
where σ is the bending stress, M is the bending moment, c is the distance from the centroid of the cross-section to the extreme fiber, and I is the moment of inertia of the cross-section.
Direct and Bending Stress:
When a column is subjected to an eccentric load, both direct and bending stresses are induced in the column. The magnitude of the stresses depends on the eccentricity of the load and the geometry of the column.
The combined effect of direct and bending stress can be calculated using the formula:
σ = (P/A) + (M*c/I)
where σ is the total stress induced in the column.
Conclusion:
Therefore, option D, direct and bending stress both, is the correct answer. When a column is subjected to an eccentric load, both direct and bending stresses are induced in the column, and their combined effect must be considered in the analysis.
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When a column is subjected to an eccentric load, the stress induced in the column will bea)direct stress onlyb)bending stress onlyc)shear stress onlyd)direct and bending stress bothCorrect answer is option 'D'. Can you explain this answer?
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