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A fixed beam AB is subjected to a triangular load varying from zero at end A to ‘w’ per unit length at end B. The ratio of fixed end moment at B to A will be
  • a)
    0.50
  • b)
    0.33
  • c)
    0.67
  • d)
    1.50
Correct answer is option 'D'. Can you explain this answer?
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A fixed beam AB is subjected to a triangular load varying from zero at...

The fixed end moment at end A
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A fixed beam AB is subjected to a triangular load varying from zero at...
A maximum of w per unit length at end B. The length of the beam is L and the cross-sectional area and moment of inertia are A and I, respectively. The maximum deflection of the beam can be calculated using the following steps:

1. Determine the reaction forces at A and B using equilibrium equations.

2. Draw the shear force and bending moment diagrams for the beam.

3. Calculate the maximum bending moment at the center of the beam using the maximum value of the bending moment diagram.

4. Use the bending moment equation to determine the maximum deflection at the center of the beam:

δmax = (5wL^4)/(384EI)

where E is the modulus of elasticity of the material.

5. Check the deflection against the allowable limits to ensure that the beam is safe and will not fail under the given load.

Note: The above calculation assumes that the beam is made of a homogeneous and isotropic material and that the load is applied only to the top surface of the beam. If the load is distributed over the entire cross-section of the beam or if the beam is made of a composite material, additional calculations may be required.
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A fixed beam AB is subjected to a triangular load varying from zero at end A to ‘w’ per unit length at end B. The ratio of fixed end moment at B to A will bea)0.50b)0.33c)0.67d)1.50Correct answer is option 'D'. Can you explain this answer? 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 A fixed beam AB is subjected to a triangular load varying from zero at end A to ‘w’ per unit length at end B. The ratio of fixed end moment at B to A will bea)0.50b)0.33c)0.67d)1.50Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fixed beam AB is subjected to a triangular load varying from zero at end A to ‘w’ per unit length at end B. The ratio of fixed end moment at B to A will bea)0.50b)0.33c)0.67d)1.50Correct answer is option 'D'. Can you explain this answer?.
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