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Which failure theory would be appropriate to solve the following problem: A structural, A36, steel strut is subject to a varying tensile force of 20-kN to a compressive force of 8-kN. Maximum Shear Stress Theory Maximum Normal Stress Theory Coulomb-Mohr Theory von Mises Endurance Limit Distortion Energy Theory Modified Mohr Theory Goodman Criterion

Which failure theory would be appropriate to solve the following problem: A structural, A36, steel strut is subject to a varying tensile force of 20-kN to a compressive force of 8-kN. Maximum Shear Stress Theory Maximum Normal Stress Theory Coulomb-Mohr Theory von Mises Endurance Limit Distortion Energy Theory Modified Mohr Theory Goodman Criterion

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Failure Theories in Structural Engineering #### Problem Statement: Which failure theory would be appropriate to solve the following problem? * A structural, A36, steel strut is subject to a varying tensile force of 20-kN to a compressive force of 8-kN. #### Options: - **Maximum Shear Stress Theory** - **Maximum Normal Stress Theory** - **Coulomb-Mohr Theory** - **von Mises** - **Endurance Limit** - **Distortion Energy Theory** - **Modified Mohr Theory** - **Goodman Criterion** #### Explanation of Theories: - **Maximum Shear Stress Theory**: Often used for ductile materials under static loading. - **Maximum Normal Stress Theory**: Used for brittle materials, focusing on the maximum normal stress in a body. - **Coulomb-Mohr Theory**: A modification of the Mohr Theory, used for analyzing the failure of materials under complex loading. - **von Mises**: A criterion for ductile materials, often used in metal plasticity. - **Endurance Limit**: Pertains to the maximum stress a material can withstand during cyclic loading without failing. - **Distortion Energy Theory**: Also known as von Mises yield criterion, used for ductile materials. - **Modified Mohr Theory**: A theory that considers both tensile and compressive strength. - **Goodman Criterion**: Used for fatigue analysis, relating to the alternating and mean stresses. This list will assist in determining the appropriate failure theory for analyzing the given structural problem.
Transcribed Image Text:### Failure Theories in Structural Engineering #### Problem Statement: Which failure theory would be appropriate to solve the following problem? * A structural, A36, steel strut is subject to a varying tensile force of 20-kN to a compressive force of 8-kN. #### Options: - **Maximum Shear Stress Theory** - **Maximum Normal Stress Theory** - **Coulomb-Mohr Theory** - **von Mises** - **Endurance Limit** - **Distortion Energy Theory** - **Modified Mohr Theory** - **Goodman Criterion** #### Explanation of Theories: - **Maximum Shear Stress Theory**: Often used for ductile materials under static loading. - **Maximum Normal Stress Theory**: Used for brittle materials, focusing on the maximum normal stress in a body. - **Coulomb-Mohr Theory**: A modification of the Mohr Theory, used for analyzing the failure of materials under complex loading. - **von Mises**: A criterion for ductile materials, often used in metal plasticity. - **Endurance Limit**: Pertains to the maximum stress a material can withstand during cyclic loading without failing. - **Distortion Energy Theory**: Also known as von Mises yield criterion, used for ductile materials. - **Modified Mohr Theory**: A theory that considers both tensile and compressive strength. - **Goodman Criterion**: Used for fatigue analysis, relating to the alternating and mean stresses. This list will assist in determining the appropriate failure theory for analyzing the given structural problem.
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