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For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?
- a)A concentrated load at mid-span
- b)Udl over the entire span
- c)A couple anywhere within its span
- d)Two concentrated loads equal in magnitude and placed at equal distance from each support
Correct answer is option 'D'. Can you explain this answer?
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For the shear force to be uniform throughout the span of a simply supp...
It is a case of pure bending.
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For the shear force to be uniform throughout the span of a simply supp...
The correct answer is option D, which states that for the shear force to be uniform throughout the span of a simply supported beam, it should carry two concentrated loads equal in magnitude and placed at an equal distance from each support.
Explanation:
To understand why option D is the correct answer, let's consider the other options and analyze their effects on the shear force distribution in a simply supported beam.
a) A concentrated load at mid-span:
When a concentrated load is applied at the mid-span of a simply supported beam, it creates a maximum shear force at that location. As we move away from the mid-span towards the supports, the shear force gradually decreases. Therefore, the shear force is not uniform throughout the span.
b) UDL over the entire span:
A uniformly distributed load (UDL) over the entire span of a simply supported beam creates a triangular shear force distribution. The shear force is maximum at the supports and decreases linearly towards the mid-span. Hence, the shear force is not uniform throughout the span.
c) A couple anywhere within its span:
A couple is a system of forces that produces only a moment and no net force. Therefore, it does not directly contribute to the shear force in a beam. Hence, a couple applied anywhere within the span of a simply supported beam does not affect the shear force distribution.
d) Two concentrated loads equal in magnitude and placed at an equal distance from each support:
When two concentrated loads of equal magnitude are symmetrically placed at an equal distance from each support, they create equal and opposite shear forces at each support. These shear forces cancel each other out, resulting in a constant shear force throughout the span. Therefore, the shear force is uniform throughout the span for this loading configuration.
Conclusion:
Among the given options, only option D satisfies the condition for a uniform shear force distribution in a simply supported beam. By applying two concentrated loads equal in magnitude and placed at an equal distance from each support, the shear force remains constant throughout the span.
Explanation:
To understand why option D is the correct answer, let's consider the other options and analyze their effects on the shear force distribution in a simply supported beam.
a) A concentrated load at mid-span:
When a concentrated load is applied at the mid-span of a simply supported beam, it creates a maximum shear force at that location. As we move away from the mid-span towards the supports, the shear force gradually decreases. Therefore, the shear force is not uniform throughout the span.
b) UDL over the entire span:
A uniformly distributed load (UDL) over the entire span of a simply supported beam creates a triangular shear force distribution. The shear force is maximum at the supports and decreases linearly towards the mid-span. Hence, the shear force is not uniform throughout the span.
c) A couple anywhere within its span:
A couple is a system of forces that produces only a moment and no net force. Therefore, it does not directly contribute to the shear force in a beam. Hence, a couple applied anywhere within the span of a simply supported beam does not affect the shear force distribution.
d) Two concentrated loads equal in magnitude and placed at an equal distance from each support:
When two concentrated loads of equal magnitude are symmetrically placed at an equal distance from each support, they create equal and opposite shear forces at each support. These shear forces cancel each other out, resulting in a constant shear force throughout the span. Therefore, the shear force is uniform throughout the span for this loading configuration.
Conclusion:
Among the given options, only option D satisfies the condition for a uniform shear force distribution in a simply supported beam. By applying two concentrated loads equal in magnitude and placed at an equal distance from each support, the shear force remains constant throughout the span.
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For the shear force to be uniform throughout the span of a simply supp...
B. a couple anywhere on its span.
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For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?a)A concentrated load at mid-spanb)Udl over the entire spanc)A couple anywhere within its spand)Two concentrated loads equal in magnitude and placed at equal distance from each supportCorrect answer is option 'D'. Can you explain this answer?
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For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?a)A concentrated load at mid-spanb)Udl over the entire spanc)A couple anywhere within its spand)Two concentrated loads equal in magnitude and placed at equal distance from each supportCorrect answer is option 'D'. 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 For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?a)A concentrated load at mid-spanb)Udl over the entire spanc)A couple anywhere within its spand)Two concentrated loads equal in magnitude and placed at equal distance from each supportCorrect answer is option 'D'. 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 For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?a)A concentrated load at mid-spanb)Udl over the entire spanc)A couple anywhere within its spand)Two concentrated loads equal in magnitude and placed at equal distance from each supportCorrect answer is option 'D'. Can you explain this answer?.
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