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The following statements are related to bending of beams:
I The slope of the bending moment diagram is equal to the shear force.
II The slope of the shear force diagram is equal to the load intensity.
III The slope of the curvature is equal to the flexural rotation.
IV The second derivative of the deflection is equal to the curvature.
II The slope of the shear force diagram is equal to the load intensity.
III The slope of the curvature is equal to the flexural rotation.
IV The second derivative of the deflection is equal to the curvature.
The only FALSE statement is
- a)I
- b)II
- c)III
- d)IV
Correct answer is option 'C'. Can you explain this answer?
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Bending of Beams:
Bending of beams is an important phenomenon in civil engineering that is widely used in the design of structures. The following statements are related to the bending of beams:
I. The slope of the bending moment diagram is equal to the shear force.
II. The slope of the shear force diagram is equal to the load intensity.
III. The slope of the curvature is equal to the flexural rotation.
IV. The second derivative of the deflection is equal to the curvature.
False Statement:
The only false statement is option 'C', i.e., "The slope of the curvature is equal to the flexural rotation."
Explanation:
The bending of beams is a complex phenomenon that involves various parameters such as shear force, bending moment, deflection, curvature, etc. The statements given above are related to these parameters and their relationships with each other.
I. The slope of the bending moment diagram is equal to the shear force: This statement is true. The bending moment diagram is a graphical representation of the internal bending moment at any point in the beam. The slope of the bending moment diagram at any point is equal to the shear force at that point.
II. The slope of the shear force diagram is equal to the load intensity: This statement is false. The shear force diagram is a graphical representation of the internal shear force at any point in the beam. The slope of the shear force diagram at any point is equal to the load intensity at that point.
III. The slope of the curvature is equal to the flexural rotation: This statement is false. The curvature is a measure of how much the beam is bending at any point. The flexural rotation is a measure of how much the beam is rotating at any point. The slope of the curvature is not equal to the flexural rotation.
IV. The second derivative of the deflection is equal to the curvature: This statement is true. The deflection is a measure of how much the beam is bending at any point. The second derivative of the deflection is a measure of the curvature at that point.
Conclusion:
In summary, the only false statement related to the bending of beams is option 'C', which states that the slope of the curvature is equal to the flexural rotation.
Bending of beams is an important phenomenon in civil engineering that is widely used in the design of structures. The following statements are related to the bending of beams:
I. The slope of the bending moment diagram is equal to the shear force.
II. The slope of the shear force diagram is equal to the load intensity.
III. The slope of the curvature is equal to the flexural rotation.
IV. The second derivative of the deflection is equal to the curvature.
False Statement:
The only false statement is option 'C', i.e., "The slope of the curvature is equal to the flexural rotation."
Explanation:
The bending of beams is a complex phenomenon that involves various parameters such as shear force, bending moment, deflection, curvature, etc. The statements given above are related to these parameters and their relationships with each other.
I. The slope of the bending moment diagram is equal to the shear force: This statement is true. The bending moment diagram is a graphical representation of the internal bending moment at any point in the beam. The slope of the bending moment diagram at any point is equal to the shear force at that point.
II. The slope of the shear force diagram is equal to the load intensity: This statement is false. The shear force diagram is a graphical representation of the internal shear force at any point in the beam. The slope of the shear force diagram at any point is equal to the load intensity at that point.
III. The slope of the curvature is equal to the flexural rotation: This statement is false. The curvature is a measure of how much the beam is bending at any point. The flexural rotation is a measure of how much the beam is rotating at any point. The slope of the curvature is not equal to the flexural rotation.
IV. The second derivative of the deflection is equal to the curvature: This statement is true. The deflection is a measure of how much the beam is bending at any point. The second derivative of the deflection is a measure of the curvature at that point.
Conclusion:
In summary, the only false statement related to the bending of beams is option 'C', which states that the slope of the curvature is equal to the flexural rotation.
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The following statements are related to bending of beams:I The slope of the bending moment diagram is equal to the shear force.II The slope of the shear force diagram is equal to the load intensity.III The slope of the curvature is equal to the flexural rotation.IV The second derivative of the deflection is equal to the curvature.The only FALSE statement isa)Ib)IIc)IIId)IVCorrect answer is option 'C'. Can you explain this answer?
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The following statements are related to bending of beams:I The slope of the bending moment diagram is equal to the shear force.II The slope of the shear force diagram is equal to the load intensity.III The slope of the curvature is equal to the flexural rotation.IV The second derivative of the deflection is equal to the curvature.The only FALSE statement isa)Ib)IIc)IIId)IVCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The following statements are related to bending of beams:I The slope of the bending moment diagram is equal to the shear force.II The slope of the shear force diagram is equal to the load intensity.III The slope of the curvature is equal to the flexural rotation.IV The second derivative of the deflection is equal to the curvature.The only FALSE statement isa)Ib)IIc)IIId)IVCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following statements are related to bending of beams:I The slope of the bending moment diagram is equal to the shear force.II The slope of the shear force diagram is equal to the load intensity.III The slope of the curvature is equal to the flexural rotation.IV The second derivative of the deflection is equal to the curvature.The only FALSE statement isa)Ib)IIc)IIId)IVCorrect answer is option 'C'. Can you explain this answer?.
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