Question

Q4. A shaft is supported on bearings A and B, 800 mm between centres as shown in Fig. Q4. A straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left-hand bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt having 180° angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum belt tension is T1 = Y N whilst the minimum belt tension T2 = ? T1. The pressure angle of the gear maybe taken as 20°. Y = 5678 If the shaft is made of steel with an allowable shear stress of 40 MPa. (i) Determine the maximum bending moment acting on the shaft (15) (ii) Determine the necessary shaft diameter using the maximum shear stress theory. (5) Gear D Pulley C A B 200 250 800 All dimensions in mm. Fig. Q4 Shaft with a pulley and a gear mounted between two bearings Fr Ft T1 T2 W = 2000 N

          Q4. A shaft is supported on bearings A and B, 800 mm between centres as shown in Fig. Q4. A straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left-hand bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt having 180° angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum belt tension is T1 = Y N whilst the minimum belt tension T2 = ? T1. The pressure angle of the gear maybe taken as 20°.

Y = 5678

If the shaft is made of steel with an allowable shear stress of 40 MPa.

(i) Determine the maximum bending moment acting on the shaft (15)
(ii) Determine the necessary shaft diameter using the maximum shear stress theory. (5)

Gear D Pulley
C A B
200 250
800
All dimensions in mm.
Fig. Q4 Shaft with a pulley and a gear mounted between two bearings
Fr Ft T1 T2 W = 2000 N

Q4. A shaft is supported on bearings A and B, 800 mm between centres as shown in Fig. Q4. A straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left-hand bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt having 180° angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum belt tension is T1 = Y N whilst the minimum belt tension T2 = ? T1. The pressure angle of the gear maybe taken as 20°.

Y = 5678

If the shaft is made of steel with an allowable shear stress of 40 MPa.

(i) Determine the maximum bending moment acting on the shaft (15)
(ii) Determine the necessary shaft diameter using the maximum shear stress theory. (5)

Gear D Pulley
C A B
200 250
800
All dimensions in mm.
Fig. Q4 Shaft with a pulley and a gear mounted between two bearings
Fr Ft T1 T2 W = 2000 N

Added by Micheal W.

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