# mechanics of materials

posted by .

A hollow circular shaft has an external diameter of 160mm and an internal diameter of 120mm. Calculagte the polar second moment of areaof the shaft and the maximum and minimum shear stress produced when the applied moment is 40kN m.

• mechanics of materials -

D=150 mm =0.15 m d= 120 mm = 0.12 m
T=40 kN•m = 40000 N•m.

J=π(D²-d²)/32 =...

T/J=Gθ/L=τ(min)/r,
τ(min) = Tr/J=Td/2J=...

T/J=Gθ/L=τ(max)/R,
τ(max) = TR/J=TD/2J=...

## Similar Questions

1. ### applied mechanics

A solid shaft of 65mm outside diameter and a hollow shaft of 85mm outside diameter are connected by 6 bolts with the mean pitch of thread being 155mm. The shear stress due to the torque on the shafts is equal to the shear stress on …
2. ### Torque and shear stress

A solid shaft of 65mm outside diameter and a hollow shaft of 85mm outside diameter are connected by 6 bolts with the mean pitch of thread being 155mm. The shear stress due to the torque on the shafts is equal to the shear stress on …
3. ### physic

A solid shaft of 65mm outside diameter and a hollow shaft of 85mm outside diameter are connected by 6 bolts with the mean pitch of thread being 155mm. The shear stress due to the torque on the shafts is equal to the shear stress on …
4. ### Physics

A solid shaft of 65mm outside diameter and a hollow shaft of 85mm outside diameter are connected by 6 bolts with the mean pitch of thread being 155mm. The shear stress due to the torque on the shafts is equal to the shear stress on …
5. ### applied mechanics

A solid shaft of 65mm outside diameter and a hollow shaft of 85mm outside diameter are connected by 6 bolts with the mean pitch of thread being 155mm. The shear stress due to the torque on the shafts is equal to the shear stress on …
6. ### physics

A drive shaft of a belt conveyor system transmits 12kW of power at a speed of 40 rpm. If the shaft diameter is 50mm * 120mm long, calculate a)The shear stress in the shaft. b)The angle of twist if modulus of rigidity =80 GN/m2 c)If …
7. ### physics

A hollow steel shaft has an external diameter of 120 mm and is 10 mm thick. It is coupled to a solid shaft of the same material, 100 mm in diameter. If the length of the hollow shaft is 960 mm, find the length of the solid shaft, so …
8. ### Physics,2.01x

The shaft ACB, of constant outer diameter 2R and length 2L, is fixed to walls at both ends A and B. The left half of the shaft (AC) is solid, while the right half (CB) is hollow, with an inner diameter 2√R. The right half, CB, …
9. ### MIT 2.01x

The shaft ABC is a solid circular cylinder of constant outer diameter 2R and length 3L. The shaft is fixed between walls at A and C and it is composed of two segments made of different materials. The left third of the shaft (AB) is …