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A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is?
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A simply supported beam of span 10 metres is subjected to a point load...
Calculation of Right Reaction in Simply Supported Beam
1. Given Data:
- Span of beam (L) = 10 m
- Point load (P) = 40 kN
- Distance of load from left support (a) = 4 m
2. Calculate the Left Reaction:
- Taking moments about the right support:
ΣM = 0
Rb * L - P * a = 0
Rb = P * a / L
Rb = 40 * 4 / 10 = 16 kN
3. Calculate the Right Reaction:
- Using the equation of equilibrium:
ΣV = 0
Ra + Rb - P = 0
Ra = P - Rb
Ra = 40 - 16 = 24 kN
4. Conclusion:
- The value of the right reaction in the simply supported beam is 24 kN.
- The beam will have a left reaction of 16 kN and a right reaction of 24 kN to balance the point load of 40 kN at a distance of 4 m from the left support.
1. Given Data:
- Span of beam (L) = 10 m
- Point load (P) = 40 kN
- Distance of load from left support (a) = 4 m
2. Calculate the Left Reaction:
- Taking moments about the right support:
ΣM = 0
Rb * L - P * a = 0
Rb = P * a / L
Rb = 40 * 4 / 10 = 16 kN
3. Calculate the Right Reaction:
- Using the equation of equilibrium:
ΣV = 0
Ra + Rb - P = 0
Ra = P - Rb
Ra = 40 - 16 = 24 kN
4. Conclusion:
- The value of the right reaction in the simply supported beam is 24 kN.
- The beam will have a left reaction of 16 kN and a right reaction of 24 kN to balance the point load of 40 kN at a distance of 4 m from the left support.
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A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is?
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A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is? 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 A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is?.
A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is? 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 A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam of span 10 metres is subjected to a point load of 40kN at a distance 4 m. from the left support. The value of right reaction is?.
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