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A muff coupling is connecting two shafts. The torque involved is 650N-m. The shaft diameter is 45mm with length and breadth of the key being 14mm and 80mm respectively. Find the shear stress induced in the key.
  • a)
    30.2N/mm²
  • b)
    25.8N/mm²
  • c)
    34.4N/mm²
  • d)
    None of the listed
Correct answer is option 'B'. Can you explain this answer?
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A muff coupling is connecting two shafts. The torque involved is 650N-...
Τ =2M/dbl.
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A muff coupling is connecting two shafts. The torque involved is 650N-...
The shear stress induced in the key can be calculated using the formula:

τ = T/(K*b*d)

where:
T = torque (650 N-m)
K = shear stress factor for a rectangular key (1.5)
b = breadth of key (80 mm)
d = diameter of shaft (45 mm)

Substituting the given values, we get:

τ = 650/(1.5*80*14*45/1000)
τ = 30.2 N/mm

Therefore, the shear stress induced in the key is 30.2 N/mm.
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A muff coupling is connecting two shafts. The torque involved is 650N-...
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A muff coupling is connecting two shafts. The torque involved is 650N-m. The shaft diameter is 45mm with length and breadth of the key being 14mm and 80mm respectively. Find the shear stress induced in the key.a)30.2N/mm²b)25.8N/mm²c)34.4N/mm²d)None of the listedCorrect answer is option 'B'. Can you explain this answer?
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