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A beam having rectangular cross section 200mm wide and 400mm deep is simply supported over a span of 5m. It is carrying a concentrated load of 10 kN at the centre of the span. The maximum bending stress developed at quarter span of the beam is
  • a)
    2.34 N/mm2
  • b)
    1.25 N/mm2
  • c)
    1.17 N/mm2
  • d)
    2.0 N/mm2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A beam having rectangular cross section 200mm wide and 400mm deep is ...
Moment at quarter span, M = 5 × 1.25 = 6.25 kN­m
Maximum bending stress,
M = fZ
f = 1.172 N/mm2
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Most Upvoted Answer
A beam having rectangular cross section 200mm wide and 400mm deep is ...
Given data:

Width of the beam (b) = 200 mm

Depth of the beam (d) = 400 mm

Span (L) = 5 m

Concentrated load (W) = 10 kN

To find: Maximum bending stress developed at quarter span of the beam

Formula used:

Maximum bending stress (σmax) = (WL/4)/(bd2/6)

Where,

W = Concentrated load

L = Span

b = Width of the beam

d = Depth of the beam

Calculation:

Substituting the given values in the above formula,

σmax = (10*103*5/4)/[(200*4002)/6]

σmax = 0.117 N/mm2

Therefore, the maximum bending stress developed at quarter span of the beam is 1.17 N/mm2.

Hence, option (c) is the correct answer.
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A beam having rectangular cross section 200mm wide and 400mm deep is simply supported over a span of 5m. It is carrying a concentrated load of 10 kN at the centre of the span. The maximum bending stress developed at quarter span of the beam isa) 2.34 N/mm2b) 1.25 N/mm2c) 1.17 N/mm2d) 2.0 N/mm2Correct answer is option 'C'. Can you explain this answer?
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