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Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.
Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'B'. Can you explain this answer?
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Assertion (A): In a loaded beam, if the shear force diagram is a strai...
Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.
Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.
The given assertion and reason are related to the behavior of shear force and bending moment in a loaded beam. Let's analyze each statement individually:
Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.
This statement is true. The shear force is the algebraic sum of all the vertical forces acting to the left or right of the section under consideration. If the shear force diagram is a straight line parallel to the beam axis, it means that the shear force is constant throughout the beam. In this case, the bending moment diagram will be a straight line inclined to the beam axis. This is because the bending moment is the integral of the shear force along the length of the beam. A constant shear force results in a linearly varying bending moment.
Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.
This statement is also true. The bending moment at any section of a beam is directly related to the rate of change of shear force at that section. When the shear force at a section is zero, it means that the shear force changes sign from positive to negative or vice versa. At this point, the bending moment is maximum. This is because the bending moment is directly proportional to the rate of change of shear force. The maximum bending moment occurs when the shear force changes sign, as it represents the maximum rate of change.
Therefore, both the assertion and reason are individually true. Furthermore, the reason (R) correctly explains the assertion (A) as it provides the rationale behind the relationship between shear force and bending moment in a loaded beam.
Hence, the correct answer is option B: Both A and R are individually true, and R is the correct explanation of A.
Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.
The given assertion and reason are related to the behavior of shear force and bending moment in a loaded beam. Let's analyze each statement individually:
Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.
This statement is true. The shear force is the algebraic sum of all the vertical forces acting to the left or right of the section under consideration. If the shear force diagram is a straight line parallel to the beam axis, it means that the shear force is constant throughout the beam. In this case, the bending moment diagram will be a straight line inclined to the beam axis. This is because the bending moment is the integral of the shear force along the length of the beam. A constant shear force results in a linearly varying bending moment.
Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.
This statement is also true. The bending moment at any section of a beam is directly related to the rate of change of shear force at that section. When the shear force at a section is zero, it means that the shear force changes sign from positive to negative or vice versa. At this point, the bending moment is maximum. This is because the bending moment is directly proportional to the rate of change of shear force. The maximum bending moment occurs when the shear force changes sign, as it represents the maximum rate of change.
Therefore, both the assertion and reason are individually true. Furthermore, the reason (R) correctly explains the assertion (A) as it provides the rationale behind the relationship between shear force and bending moment in a loaded beam.
Hence, the correct answer is option B: Both A and R are individually true, and R is the correct explanation of A.
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Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?
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Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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 Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect 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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Here you can find the meaning of Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Assertion (A): In a loaded beam, if the shear force diagram is a straight line parallel to the beam axis, then the bending moment is a straight line inclined to the beam axis.Reason (R): When shear force at any section of a beam is zero or changes sign, the bending moment at that section is maximum.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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