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A prismatic simply supported beam carries a point load at mid-span section due to which a slope of 2° is produced at support sections. The slope at quarter span sections is
  • a)
  • b)
    1.414°
  • c)
    1.5°
  • d)
    1.732°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A prismatic simply supported beam carries a point load at mid-span se...
=
=
= 2 - 0.5 = 1.5°
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Most Upvoted Answer
A prismatic simply supported beam carries a point load at mid-span se...
Given:
- Prismatic simply supported beam
- Point load at mid-span
- Slope of 2° at support sections

To Find:
- Slope at quarter span sections

Solution:

1. Draw the beam diagram

2. Determine the reactions at the support

3. Calculate the slope at the support using the equation:

θ = (PL/8EI) * (3L^2 - 4x^2)

Where,
P = Point load
L = Span length
E = Modulus of elasticity
I = Moment of inertia
x = Distance from support to the point where slope is to be calculated

4. Calculate the slope at quarter span sections

- The distance from the support to the quarter span section is L/4.
- Substituting the values in the above equation, we get:

θ = (PL/8EI) * [(3L^2) - 4(L/4)^2]
θ = (PL/8EI) * (9L^2/4)
θ = (3PL/32EI)

- Substituting the given values, we get:

θ = (3*P*L) / (32*E*I)

- Therefore, the slope at quarter span sections is 1.5° (approx)

Answer:
The slope at quarter span sections is option (c) 1.5°.
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A prismatic simply supported beam carries a point load at mid-span section due to which a slope of 2° is produced at support sections. The slope at quarter span sections isa) 1°b) 1.414°c) 1.5°d) 1.732°Correct answer is option 'C'. Can you explain this answer?
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A prismatic simply supported beam carries a point load at mid-span section due to which a slope of 2° is produced at support sections. The slope at quarter span sections isa) 1°b) 1.414°c) 1.5°d) 1.732°Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A prismatic simply supported beam carries a point load at mid-span section due to which a slope of 2° is produced at support sections. The slope at quarter span sections isa) 1°b) 1.414°c) 1.5°d) 1.732°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A prismatic simply supported beam carries a point load at mid-span section due to which a slope of 2° is produced at support sections. The slope at quarter span sections isa) 1°b) 1.414°c) 1.5°d) 1.732°Correct answer is option 'C'. Can you explain this answer?.
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