8.6 (A). A hollow low carbon steel shaft is subjected to a torque of 0.25 MN m. If the ratio of internal to external diameter is 1 to 3 and the shear stress due to torque has to be limited to 70 MN/m² determine the required diameters and the angle of twist in degrees per metre length of shaft. G = 80 GN/m². [I.Struct.E.] [264, 88 mm; 0.38°.]

8.6 (A). A hollow low carbon steel shaft is subjected to a torque of 0.25 MN m. If the ratio of internal to external diameter is 1 to 3 and the shear stress due to torque has to be limited to 70 MN/m² determine the required diameters and the angle of twist in degrees per metre length of shaft. G = 80 GN/m². [I.Struct.E.] [264, 88 mm; 0.38°.]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A steel shaft 50 mm diameter and 500 mm long is subjected to a twisting moment of 1100 N-m, the total angle of twist being 0.6°. Find the maximum shearing stress developed in the shzaft and modulus of rigidity. [Ans. 44.8 MPa; 85.6 kN/m²]
A solid stainless steel [G = 93 GPa] shaft that is 2 m long will be subjected to a pure torque of T = 73 N-m. Determine the minimum diameter d required if the shear stress must not exceed 31 MPa and the angle of twist must not exceed 5.1°. Report both the maximum shear stress 7 and the angle of twist at this minimum diameter. Answers: d = i mm. T = MPa. IM IM MI
A solid 1.500-in.-diameter steel [G = 13,000 ksi] shaft is subjected to torques TB = 215 lb-ft and TD=85 lb-ft, acting in the directions shown. Assume a = 42 in., b = 78 in., and c = 24 in. If the allowable shear stress in the shaft is 18 ksi, determine the maximum torque Tc that can be applied to the shaft. (1) a Answer: Tc = i B (2) b Tc (3) lb-ft Tp D
A solid 1.750-in.-diameter steel [G= 13,000 ksi] shaft is subjected to torques TB = 265 lb-ft and TD 90 lb-ft, acting in the directions shown. Assume a = 48 in., b = 72 in., and c = 36 in. If the allowable shear stress in the shaft is 16 ksi, determine the maximum torque Tc that can be applied to the shaft. (1) Answer: Tc i B (2) b Tc (3) Tp lb-ft D
A hollow steel shaft transmits 600 kW at 500 r.p.m. The maximum shear stress is 62.4 MPa. Find the outside and inside diameter of the shaft, if the outer diameter is twice of inside diameter, assuming that the maximum torque is 20% greater than the mean torque. [Ans. 100 mm ; 50 mm]
A solid 1.250-in.-diameter steel [G= 11,000 ksi] shaft is subjected to torques TB = 175 lb-ft and TD= 90 lb-ft, acting in the directions shown. Assume a = 54 in., b = 78 in., and c = 24 in. If the allowable shear stress in the shaft is 22 ksi, determine the maximum torque Tc that can be applied to the shaft. (1) a Answer: Tc= i TB B (2) Tc TD ti (3) lb-ft D
A solid stainless steel [G = 108 GPa] shaft that is 1.2 m long will be subjected to a pure torque of T = 82 N-m. Determine the minimum diameter d required if the shear stress must not exceed 40 MPa and the angle of twist must not exceed 4.7°. Report both the maximum shear stress 7 and the angle of twist at this minimum diameter. Answers: d = mm. T = IN i MPa. i
A hollow steel [G = 12,000 ksi] shaft with an outside diameter of 3.50 in. will be subjected to a pure torque of T= 3690 lb-ft. Determine the maximum inside diameter d that can be used if the shear stress must not exceed 8,000 psi and the angle of twist must not exceed 3 in an 8-ft length of shaft. O 2.44 in. O 1.72 in. O 2.68 in. O 2.16 in. O 3.37 in.
A shaft required to transmit 50kW of power will be running at 100rev/min. The maximum twist in 3m length of the shaft is limited to 1.5 degree. If the maximum torque is 30 percent more than mean or average torque. Assume entirely elastic action and take modulus of rigidity for the shaft material G = 135 GN/?2. Determine the following:a. Diameter of the shaft.b. Maximum shear stress developed in the shaft. I need answer ASAP. Thank you!
A compound steel [G = 83 GPa] shaft consists of a solid 58-mm-diameter segment (1) and a solid 31-mm-diameter segment (2). The allowable shear stress of the steel is 67 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to Pc ≤ 4.1°. Assume L₁=1.1 m and L₂=2.0 m. Determine the magnitude of the largest torque To that may be applied at C. L₁ (1) Answer: Tc= 372.89 (2) L2 N-m. Tc с
3. A cylindrical rod is composed of two pieces of different diameters. Both pieces are made of the same material. Torques are applied at points B and D, with the directions shown below. The magnitudes of the torques are Tg = 4000 in-lb, Tp = 3000 in-lb. JAC = 4 in L = 10 in. JcD = 2 in GẠC = GCD = G = 10 × 10° psi Determine the twist of point B, Ør, and the twist of point D, øp, relative to the wall at A. Note definition for + and – twist, shown to the right. Ans: = -0.25x10³ radians, øp = 2.0×10³ radians A D Tp IB Fixed to wall
A compound steel [G= 94 GPa] shaft consists of solid 28-mm-diameter segments (1) and (3) and tube segment (2), which has an outside diameter of 68 mm and an inside diameter of 63 mm. Assume L₁-0.2 m, L₂-2.2 m, L3-0.2 m and T-210 N-m. Determine: (a) the maximum shear stress T₂ in tube segment (2). (b) the angle of twist 2 in tube segment (2). (c) the rotation angle DIA of gear D relative to gear A. T Answers: (a) T₂ = (b) ₂ = (c) & DIA (1) = B i i L2 (2) MPa. C L3 (3) T D X