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A fixed beam AB of spam 5m carries a uniformly distributed load of 20kN/m run over the left half and a concentrated load of 40kN at a distance of 4m from the left support. Calculate fixed end moments and hence draw the Bending Moment Diagram?
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A fixed beam AB of spam 5m carries a uniformly distributed load of 20k...
- **Given Data**
- Span of beam (L): 5m
- Uniformly distributed load (w): 20kN/m
- Concentrated load (P): 40kN at 4m from the left support
- **Calculating Reactions**
- Let the reactions at A and B be Ra and Rb respectively
- ΣM(A) = 0: Ra * 5 - 20 * 5 * 5/2 - 40 * 1 = 0
- Ra = 100kN
- ΣF(V) = 0: Rb = 100 - 20 * 5 - 40 = 0
- **Calculating Fixed End Moments**
- At A: Ma = -wL^2/2 = -20 * 5^2 / 2 = -250kNm
- At B: Mb = -Pa + wL^2/2 = -40 * 4 + 20 * 5^2 / 2 = -40kNm
- **Drawing Bending Moment Diagram**
- The BMD will start from Ma at A (-250kNm)
- It will remain constant until the point of the concentrated load (4m from A)
- At this point, there will be a sudden increase of 40kN * 4m = 160kNm due to the concentrated load
- After the concentrated load, the BMD will decrease linearly until it reaches Mb at B (-40kNm)
By following these steps, you can calculate the fixed end moments and draw the Bending Moment Diagram for the given beam with the specified loads.
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A fixed beam AB of spam 5m carries a uniformly distributed load of 20kN/m run over the left half and a concentrated load of 40kN at a distance of 4m from the left support. Calculate fixed end moments and hence draw the Bending Moment Diagram?
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A fixed beam AB of spam 5m carries a uniformly distributed load of 20kN/m run over the left half and a concentrated load of 40kN at a distance of 4m from the left support. Calculate fixed end moments and hence draw the Bending Moment Diagram? 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 fixed beam AB of spam 5m carries a uniformly distributed load of 20kN/m run over the left half and a concentrated load of 40kN at a distance of 4m from the left support. Calculate fixed end moments and hence draw the Bending Moment Diagram? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fixed beam AB of spam 5m carries a uniformly distributed load of 20kN/m run over the left half and a concentrated load of 40kN at a distance of 4m from the left support. Calculate fixed end moments and hence draw the Bending Moment Diagram?.
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