Tension in the tight side of a belt drive is 100 N and that in the slack side 60 N. If the belt breadth is 10 cm and thickness 4 cm, what is the maximum stress induced in the belt?

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UPSSSC JE Mechanical 2015 Official Paper 2
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  1. 2.5 NIcm2
  2. 1.5 NIcm2
  3. 4 NIcm2
  4. 2 NIcm2

Answer (Detailed Solution Below)

Option 1 : 2.5 NIcm2
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Detailed Solution

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Concept:

Maximum stress will be on tight side of belt.

\(\sigma _{max}=\frac{T_{max}}{Cross-section ~area~of~belt}=\frac{T_{tight~side}}{Cross-section~area ~of~belt}\)

Calculation:

Given:

Ttight side = 100 N, Breadth (w) = 10 cm, Thickness (t) = 4 cm

\(\sigma _{max}=\frac{T_{max}}{Cross-section ~area~of~belt}=\frac{T_{tight~side}}{Cross-section~area ~of~belt}\)

 

\(\sigma_{max}=\frac{100}{10\times 4}=2.5 \frac{N}{cm^2}\)

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