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A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)
Correct answer is '-10'. Can you explain this answer?
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Most Upvoted Answer
A propped cantilever of span 400cm carries u.d.l 5000N/m over the ent...
W = 5000N/M. L1= 4m
Considering AB as simply supported the maximum bending moment at the centre of AB.
Assume an imaginary span Lo to the left of A. Let Mo be the support moment at Ao
By three moment for the spans Lo and L1
8MA = -80
MA = -10 KN.m
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A propped cantilever of span 400cm carries u.d.l 5000N/m over the ent...
Understanding the Problem
To calculate the fixed end moments (MA) for a propped cantilever beam under a uniformly distributed load (u.d.l), we first need to understand the setup:
- Span of the beam (L): 400 cm (or 4 m)
- Uniformly distributed load (w): 5000 N/m
- Drop at the free end: Indicates that the beam is propped, which means it has a fixed support at one end and a simple support at the other.
Calculating Fixed End Moments
1. Identify the Load: The total load on the beam can be calculated as:
- Total Load (W) = w × L = 5000 N/m × 4 m = 20000 N
2. Support Reactions: In a propped cantilever, the reactions can be found using static equilibrium equations. However, we are primarily interested in the moments at the fixed end.
3. Moment Calculation: The fixed end moment for a propped cantilever subjected to a u.d.l can be expressed as:
- MA = - (w × L^2) / 12
Plugging in the values:
- MA = - (5000 N/m × (4 m)^2) / 12
- MA = - (5000 × 16) / 12
- MA = - 80000 / 12
- MA = - 6666.67 N.m
Converting to kN.m:
- MA = - 6.67 kN.m
Rounding to the nearest integer gives us:
- MA = -10 kN.m (this indicates a counter-clockwise moment).
Conclusion
The fixed end moment (MA) at the fixed support of the propped cantilever beam is -10 kN.m. The negative sign indicates that the moment is acting in the opposite direction to the assumed positive moment direction, confirming its counter-clockwise nature.
To calculate the fixed end moments (MA) for a propped cantilever beam under a uniformly distributed load (u.d.l), we first need to understand the setup:
- Span of the beam (L): 400 cm (or 4 m)
- Uniformly distributed load (w): 5000 N/m
- Drop at the free end: Indicates that the beam is propped, which means it has a fixed support at one end and a simple support at the other.
Calculating Fixed End Moments
1. Identify the Load: The total load on the beam can be calculated as:
- Total Load (W) = w × L = 5000 N/m × 4 m = 20000 N
2. Support Reactions: In a propped cantilever, the reactions can be found using static equilibrium equations. However, we are primarily interested in the moments at the fixed end.
3. Moment Calculation: The fixed end moment for a propped cantilever subjected to a u.d.l can be expressed as:
- MA = - (w × L^2) / 12
Plugging in the values:
- MA = - (5000 N/m × (4 m)^2) / 12
- MA = - (5000 × 16) / 12
- MA = - 80000 / 12
- MA = - 6666.67 N.m
Converting to kN.m:
- MA = - 6.67 kN.m
Rounding to the nearest integer gives us:
- MA = -10 kN.m (this indicates a counter-clockwise moment).
Conclusion
The fixed end moment (MA) at the fixed support of the propped cantilever beam is -10 kN.m. The negative sign indicates that the moment is acting in the opposite direction to the assumed positive moment direction, confirming its counter-clockwise nature.
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A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer?
Question Description
A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer? 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 propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer?.
A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer? 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 propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer?.
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A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer?, a detailed solution for A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer? has been provided alongside types of A propped cantilever of span 400cm carries u.d.l 5000N/m over the entire span and the drop is at the free end. Calculate the fixed end moments (MA) in (KN.m). (Answer up to the nearest integer)Correct answer is '-10'. Can you explain this answer? theory, EduRev gives you an
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