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A shaft of shear modulus 80 GPa, polar moment of inertia 80 mm4 and length 1m. What is its torsional stiffness.
- a)6400 Nmm
- b)64 Nmm
- c)80 Nmm
- d)800 Nmm
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A shaft of shear modulus 80 GPa, polar moment of inertia 80 mm4 and le...
Torsional Stiffness Calculation
Given:
Shear modulus (G) = 80 GPa = 80 x 10^9 Pa
Polar moment of inertia (J) = 80 mm^4 = 80 x 10^-12 m^4
Length (L) = 1 m
Formula:
Torsional stiffness (k) = (G x J) / L
Calculation:
k = (80 x 10^9 Pa) x (80 x 10^-12 m^4) / 1 m
k = 6400 Nm/rad
Therefore, the torsional stiffness of the shaft is 6400 Nm/rad.
Given:
Shear modulus (G) = 80 GPa = 80 x 10^9 Pa
Polar moment of inertia (J) = 80 mm^4 = 80 x 10^-12 m^4
Length (L) = 1 m
Formula:
Torsional stiffness (k) = (G x J) / L
Calculation:
k = (80 x 10^9 Pa) x (80 x 10^-12 m^4) / 1 m
k = 6400 Nm/rad
Therefore, the torsional stiffness of the shaft is 6400 Nm/rad.
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Community Answer
A shaft of shear modulus 80 GPa, polar moment of inertia 80 mm4 and le...
Torsional Stiffness or Rigidity = Shear Modulus(G) * Polar Moment of Inertia (J)
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A shaft of shear modulus 80 GPa, polar moment of inertia 80 mm4 and length 1m. What is its torsional stiffness.a)6400 Nmmb)64 Nmmc)80 Nmmd)800 NmmCorrect answer is option 'A'. Can you explain this answer?
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