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A rectangular beam 200 mm wide and 400 mm deep is simply supported over a span of 5 meters. If the beam is subjected to a uniformly distributed load of 4 kN/m, find the section modulus of the beam. 
  • a)
    5.33 × 106 mm3
  • b)
    6.75 × 106 mm3
  • c)
    3.56 × 106 mm3
  • d)
    4.16 × 106 mm3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A rectangular beam 200 mm wide and 400 mm deep is simply supported ove...
Section modulus is defined as the ratio of the moment of inertia of a beam about its C.G to the maximum distance of the extreme cross-section of the beam.
Mathematically, Z = I/ymax
‘I’ is the moment of inertia about NA or CG and ymax is the maximum distance of the neutral axis from the top fiber for a rectangular beam given by:

Calculation:
Given: b = 200 mm, d = 400 mm
The section modulus is calculated as:

Z = 5.33 × 106 mm3
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Community Answer
A rectangular beam 200 mm wide and 400 mm deep is simply supported ove...

Given data:
- Width of the beam (b) = 200 mm
- Depth of the beam (d) = 400 mm
- Span of the beam (L) = 5 meters
- Uniformly distributed load (w) = 4 kN/m

Formula for Section Modulus (S):
S = (b * d^2) / 6

Calculations:
Given b = 200 mm and d = 400 mm
S = (200 * 400^2) / 6
S = (200 * 160000) / 6
S = 32,000,000 / 6
S = 5,333,333.33 mm^3

Hence, the section modulus of the beam is 5.33 × 10^6 mm^3, which corresponds to option 'A'.
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A rectangular beam 200 mm wide and 400 mm deep is simply supported over a span of 5 meters. If the beam is subjected to a uniformly distributed load of 4 kN/m, find the section modulus of the beam.a)5.33 × 106 mm3b)6.75 × 106 mm3c)3.56 × 106 mm3d)4.16 × 106 mm3Correct answer is option 'A'. Can you explain this answer?
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A rectangular beam 200 mm wide and 400 mm deep is simply supported over a span of 5 meters. If the beam is subjected to a uniformly distributed load of 4 kN/m, find the section modulus of the beam.a)5.33 × 106 mm3b)6.75 × 106 mm3c)3.56 × 106 mm3d)4.16 × 106 mm3Correct answer is option 'A'. 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 rectangular beam 200 mm wide and 400 mm deep is simply supported over a span of 5 meters. If the beam is subjected to a uniformly distributed load of 4 kN/m, find the section modulus of the beam.a)5.33 × 106 mm3b)6.75 × 106 mm3c)3.56 × 106 mm3d)4.16 × 106 mm3Correct answer is option 'A'. 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 rectangular beam 200 mm wide and 400 mm deep is simply supported over a span of 5 meters. If the beam is subjected to a uniformly distributed load of 4 kN/m, find the section modulus of the beam.a)5.33 × 106 mm3b)6.75 × 106 mm3c)3.56 × 106 mm3d)4.16 × 106 mm3Correct answer is option 'A'. Can you explain this answer?.
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