Question

7. A hollow circular shaft 20 mm thick transmits 300 kW at 200 rpm. Determine the external diameter of the shaft if shear strain due to torsion is not to exceed 0.00086. Take C=8 x 10? N/mm². [107.9 mm] 8. A hollow shaft with diameter ratio 3/5 is required to transmit 450 kW at 120 rpm with a uniform twisting moment. The shearing stress in the shaft must not exceed 60 N/mm² and the twist in a length of 2.5 m must not exceed 1°. Calculate the minimum external diameter of the shaft satisfying these conditions. Take C = 8 x 10? N/mm². [165.5 mm] 9. Derive the expression for the allowable twisting moment for a thin walled tube. Also derive an approximate expression for the strength – weight ratio of such a tube. Take ? as the allowable shear stress. Assume that tube does not buckle. 10. Draw shear force and bending moment diagrams for the following beams: (a) (b) (c) (d) 11. A horizontal beam AD, 10 meters long carries a uniformly distributed load of 160 N/m together with a concentrated load of 400 N at the left end A. The beam is supported at a point B which is 1 m from A and at C, x meters from the end D. The point C is in the right half of the beam. Determine the value of x, if the mid-point is a point of contraflexure and for this arrangement draw SF and BM diagrams.

          7. A hollow circular shaft 20 mm thick transmits 300 kW at 200 rpm. Determine the external diameter of the shaft if shear strain due to torsion is not to exceed 0.00086. Take C=8 x 10? N/mm². [107.9 mm]
8. A hollow shaft with diameter ratio 3/5 is required to transmit 450 kW at 120 rpm with a uniform twisting moment. The shearing stress in the shaft must not exceed 60 N/mm² and the twist in a length of 2.5 m must not exceed 1°. Calculate the minimum external diameter of the shaft satisfying these conditions. Take C = 8 x 10? N/mm². [165.5 mm]
9. Derive the expression for the allowable twisting moment for a thin walled tube. Also derive an approximate expression for the strength – weight ratio of such a tube. Take ? as the allowable shear stress. Assume that tube does not buckle.
10. Draw shear force and bending moment diagrams for the following beams:
(a)
(b)
(c)
(d)
11. A horizontal beam AD, 10 meters long carries a uniformly distributed load of 160 N/m together with a concentrated load of 400 N at the left end A. The beam is supported at a point B which is 1 m from A and at C, x meters from the end D. The point C is in the right half of the beam. Determine the value of x, if the mid-point is a point of contraflexure and for this arrangement draw SF and BM diagrams.

7. A hollow circular shaft 20 mm thick transmits 300 kW at 200 rpm. Determine the external diameter of the shaft if shear strain due to torsion is not to exceed 0.00086. Take C=8 x 10? N/mm². [107.9 mm]
8. A hollow shaft with diameter ratio 3/5 is required to transmit 450 kW at 120 rpm with a uniform twisting moment. The shearing stress in the shaft must not exceed 60 N/mm² and the twist in a length of 2.5 m must not exceed 1°. Calculate the minimum external diameter of the shaft satisfying these conditions. Take C = 8 x 10? N/mm². [165.5 mm]
9. Derive the expression for the allowable twisting moment for a thin walled tube. Also derive an approximate expression for the strength – weight ratio of such a tube. Take ? as the allowable shear stress. Assume that tube does not buckle.
10. Draw shear force and bending moment diagrams for the following beams:
(a)
(b)
(c)
(d)
11. A horizontal beam AD, 10 meters long carries a uniformly distributed load of 160 N/m together with a concentrated load of 400 N at the left end A. The beam is supported at a point B which is 1 m from A and at C, x meters from the end D. The point C is in the right half of the beam. Determine the value of x, if the mid-point is a point of contraflexure and for this arrangement draw SF and BM diagrams.

Added by Matthew D.

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