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At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:?
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At a certain section at a distance 'x' from one of the supports of a s...
Invalid Relation:
- The invalid relation in this scenario would be: Vx = dMx/dx
Explanation:
- This relation assumes that the shear force at a certain section is equal to the rate of change of bending moment with respect to the distance along the beam. However, this assumption is incorrect for a simply supported beam with continuously varying loading.
- In reality, the shear force at a section is not solely dependent on the rate of change of bending moment, but also on the distribution of the loading along the beam. As the loading varies continuously, the shear force will be influenced by the changing intensity of loading at different sections.
- Therefore, the relation Vx = dMx/dx is not valid for this case and cannot be used to determine the shear force at a certain section of the beam. To accurately calculate the shear force, the entire loading distribution along the beam must be taken into account.
- It is important to understand the behavior of shear force and bending moment in beams under varying loading conditions to ensure accurate analysis and design of structures.
- The invalid relation in this scenario would be: Vx = dMx/dx
Explanation:
- This relation assumes that the shear force at a certain section is equal to the rate of change of bending moment with respect to the distance along the beam. However, this assumption is incorrect for a simply supported beam with continuously varying loading.
- In reality, the shear force at a section is not solely dependent on the rate of change of bending moment, but also on the distribution of the loading along the beam. As the loading varies continuously, the shear force will be influenced by the changing intensity of loading at different sections.
- Therefore, the relation Vx = dMx/dx is not valid for this case and cannot be used to determine the shear force at a certain section of the beam. To accurately calculate the shear force, the entire loading distribution along the beam must be taken into account.
- It is important to understand the behavior of shear force and bending moment in beams under varying loading conditions to ensure accurate analysis and design of structures.
Community Answer
At a certain section at a distance 'x' from one of the supports of a s...
Slope Qx = Mx / Vx
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At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:?
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At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:?.
At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force arc Wx, Mx and Vx respectively. If the intensity of loading is varying continuously along the length of the beam, then the invalid relation is:?.
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