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The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI?
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The maximum deflection for a beam carrying three point loads W,uniform...
Maximum Deflection for a Beam Carrying Three Point Loads
To find the maximum deflection for a beam carrying three point loads uniformly spaced, we can use the formula derived from the theory of elasticity and beam bending. The formula is given as:
D = WL^3 / (48EI)
Where:
D = Maximum deflection
W = Magnitude of each point load
L = Length of the beam
E = Modulus of elasticity of the material
I = Moment of inertia of the beam's cross-sectional area
Now, let's go through the options one by one and determine which one is correct.
Option A) WL^3/48EI
This is the correct formula for the maximum deflection. It follows the standard formula derived from beam bending theory.
Option B) 5WL^3/384EI
This formula is not correct. It is not the standard formula for the maximum deflection of a beam carrying three point loads.
Option C) 23WL^3/648EI
This formula is also not correct. It does not match the standard formula for the maximum deflection.
Option D) 19WL^3/384EI
This formula is not correct either. It does not match the standard formula for the maximum deflection.
Conclusion:
The correct answer is Option A) WL^3/48EI. This formula gives the maximum deflection for a beam carrying three point loads uniformly spaced. It is important to use the correct formula in order to accurately calculate the deflection and ensure the structural integrity of the beam.
To find the maximum deflection for a beam carrying three point loads uniformly spaced, we can use the formula derived from the theory of elasticity and beam bending. The formula is given as:
D = WL^3 / (48EI)
Where:
D = Maximum deflection
W = Magnitude of each point load
L = Length of the beam
E = Modulus of elasticity of the material
I = Moment of inertia of the beam's cross-sectional area
Now, let's go through the options one by one and determine which one is correct.
Option A) WL^3/48EI
This is the correct formula for the maximum deflection. It follows the standard formula derived from beam bending theory.
Option B) 5WL^3/384EI
This formula is not correct. It is not the standard formula for the maximum deflection of a beam carrying three point loads.
Option C) 23WL^3/648EI
This formula is also not correct. It does not match the standard formula for the maximum deflection.
Option D) 19WL^3/384EI
This formula is not correct either. It does not match the standard formula for the maximum deflection.
Conclusion:
The correct answer is Option A) WL^3/48EI. This formula gives the maximum deflection for a beam carrying three point loads uniformly spaced. It is important to use the correct formula in order to accurately calculate the deflection and ensure the structural integrity of the beam.
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The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI?
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The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI?.
The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum deflection for a beam carrying three point loads W,uniformly spaced is given by A) WL^3/48EI B) 5WL^3/384EI C)23WL^3/648EI D) 19WL^3/384EI?.
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