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Consider the following statements:
If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then
1. dM/dx = V
2. dV/dx = w
3. dw/dx = y
(the deflection of the beam at the section)
Select the correct answer using the codes given below:
- a)1 and 3
- b)1 and 2
- c)2 and 3
- d)1, 2 and 3
Correct answer is option 'B'. Can you explain this answer?
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Consider the following statements:If at a section distant from one of ...
The correct answer is B
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-If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then
dM/dx = V
dV/dx = w
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Consider the following statements:If at a section distant from one of ...
Bending Moment, Shear Force, and Intensity of Loading in a Beam
To understand the given statements and their correctness, let's break down each statement and analyze them individually.
1. dM/dx = V
This statement relates the rate of change of bending moment (M) with respect to the distance (x) to the shear force (V) acting on the beam. It is derived from the basic equilibrium equation of a beam. According to the equilibrium equation, the shear force at any section of a beam is equal to the rate of change of the bending moment at that section with respect to the distance. Hence, statement 1 is correct.
2. dV/dx = w
This statement relates the rate of change of shear force (V) with respect to the distance (x) to the intensity of loading (w) acting on the beam. It is also derived from the basic equilibrium equation of a beam. According to the equilibrium equation, the intensity of loading at any section of a beam is equal to the rate of change of the shear force at that section with respect to the distance. Hence, statement 2 is correct.
3. dw/dx = y
This statement relates the rate of change of the intensity of loading (w) with respect to the distance (x) to the deflection of the beam (y) at that section. It is based on the assumption that the deflection of a beam is directly proportional to the intensity of loading. However, this assumption is not correct. The deflection of a beam is influenced by various other factors, such as the beam's material properties, cross-sectional shape, and boundary conditions. Hence, statement 3 is incorrect.
From the analysis above, we can conclude that statement 1 and statement 2 are correct, but statement 3 is incorrect. Therefore, the correct answer is option B, which includes statement 1 and statement 2.
To understand the given statements and their correctness, let's break down each statement and analyze them individually.
1. dM/dx = V
This statement relates the rate of change of bending moment (M) with respect to the distance (x) to the shear force (V) acting on the beam. It is derived from the basic equilibrium equation of a beam. According to the equilibrium equation, the shear force at any section of a beam is equal to the rate of change of the bending moment at that section with respect to the distance. Hence, statement 1 is correct.
2. dV/dx = w
This statement relates the rate of change of shear force (V) with respect to the distance (x) to the intensity of loading (w) acting on the beam. It is also derived from the basic equilibrium equation of a beam. According to the equilibrium equation, the intensity of loading at any section of a beam is equal to the rate of change of the shear force at that section with respect to the distance. Hence, statement 2 is correct.
3. dw/dx = y
This statement relates the rate of change of the intensity of loading (w) with respect to the distance (x) to the deflection of the beam (y) at that section. It is based on the assumption that the deflection of a beam is directly proportional to the intensity of loading. However, this assumption is not correct. The deflection of a beam is influenced by various other factors, such as the beam's material properties, cross-sectional shape, and boundary conditions. Hence, statement 3 is incorrect.
From the analysis above, we can conclude that statement 1 and statement 2 are correct, but statement 3 is incorrect. Therefore, the correct answer is option B, which includes statement 1 and statement 2.
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Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer?
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Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer?.
Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer?.
Solutions for Consider the following statements:If at a section distant from one of the ends of the beam, M represents the bending moment. V the shear force and w the intensity of loading, then1. dM/dx = V2. dV/dx = w 3. dw/dx = y(the deflection of the beam at the section)Select the correct answer using the codes given below:a)1 and 3b)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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