A B 55² 240 N.mm 420 N.mm 300 N.mm 480 N.mm Figure 1 - Torques applied to the driveshaft 1) DERIVE the twist angle expression (mathematical) of the shaft under torque in terms of the geometric properties of the shaft and the applied torque 2) CALCULATE the diameter of the shaft if the twist angle should not exceed 1.5⁰ 3) CALCULATE the maximum shear stress due to torsion. Consider G = 70 GPa. Assume that the length between each segment is 500 mm.

A B 55² 240 N.mm 420 N.mm 300 N.mm 480 N.mm Figure 1 - Torques applied to the driveshaft 1) DERIVE the twist angle expression (mathematical) of the shaft under torque in terms of the geometric properties of the shaft and the applied torque 2) CALCULATE the diameter of the shaft if the twist angle should not exceed 1.5⁰ 3) CALCULATE the maximum shear stress due to torsion. Consider G = 70 GPa. Assume that the length between each segment is 500 mm.

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 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
مقاومة المواد
2-Falcon company Nizwa is conducting a campus interview to you. You are asked to design the propeller shaft with the following specification. (i) power tranmission = 230 kW(ii) speed = 80 rpm,(iii) Maximum shear stress = 60 MPa(iv) diameter ratio = 1.74(v) The maximum value of the twisting moment is 40% greater than its mean. (i) The mean torque is (Unit is in Nm)=__________ (ii) The maximum torque is (Unit is in Nm)=__________ (iii) The outer diameter of the shaft (unit in mm)=_______________ (iv) The inner diameter of the shaft (unit in mm)=_______________
A solid 1.500-in.-diameter steel [G = 11,000 ksi] shaft is subjected to torques TB = 190 lb-ft and TD= 140 lb-ft, acting in the directions shown. Assume a = 42 in., b = 72 in., and c = 36 in. If the allowable shear stress in the shaft is 20 ksi, determine the maximum torque TC that can be applied to the shaft.
TI=30NM, T2=155NM, T3=85NM and dBC=22mm. 12 010 T3 T2 T1 3-1892615112 D 010 b180106003- 1892615112 \dcp 1826151126 b180106003-18926 dBC B. `dAB b180100003-18926151126 In the figure above, torques TI, T2 and T3 are applied, respectively, to discs A, B and C on the shaft, which is fixed at point D. 3-1892815112s b180106003-18926 The diameters of the shaft segments are indicated in the figure and their values are given below (if they are required). Length of each segment on the shaft has the same value and is equal to L(AB)=L(BC)=L(CD)=400 mm. b180106003- 18926151126 Shear modulus of the material is 80 GPa. o-18926151126 b180108003-18926 Calculate the maximum shear stress g003-18926151126 003-18926 b18 on shaft segment BC. 010600s28151128 B A 46 MPa 60 MPа b180106003- 18926 b180106003- 1892615112 b180106003- 18928151126 38 MPa b180100003-1892615112 57 MPa b180106003- 18926151126 E b180108003-18928 31 MPа b180106003- 18926151126 b180106003- 18926151128 b180106003- 18928151126…
A hollow steel shaft transmits 600 kW at 500 rpm. 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.
Ex: A Torque (T) is applied to a solid taper shaft with built-in ends, as shown in Figure , Determine the angle of rotation at the free end. D2 D1 T (kN-m) Given: L(m) T(KN-m) D1 (mm) 02 (mm) G (GPa) 28 60 140 120
2: The forces acting on gear-shaft-bearing system are shown in the figure given below. a) Calculate the force Fg b) Find the support reactions at 0 and C c) Obtain the bending moment diagrams (M, and My) d) Obtain the torque diagram (Mx) e) Calculate o (bending stress) and t (torsional shear stress) at a point where the maximum bending moment is observed f) For this point, compute the principal and maximum shear stresses 400 mm 350 mm 25° 300 mm FA= 11 kN olo 20° 50-mm dia. A Gear A, 600-mm dia. /C B Gear B, 300-mm dia.
3) Two circular shafts (shown in Figure) made of the same material and have the same length are subjected to a torque Tequals 150 lb.ft, the angle of twist for the hollow shaft equals that of the solid shaft. A-1/3 C-5.4 B-1 D-3 D=10 in solid shaft D=10 in d=9 in O hollow shaft
3) Two circular shafts (shown in Figure) made of the same material and have the same length are subjected to a torque Tequals 150 lb.ft, the angle of twist for the hollow shaft equals that of the solid shaft. A-1/3 C-5.4 B-1 D-3 D=10 in solid shaft D=10 in d=9 in O hollow shaft
A steel shaft 2542 mm long must transmit a torque of 34 KN-m. The total angle of twist and the maximum shearing stress must not exceed 3 degree and 110 MPa respectively. Find the diameter of the shaft that meets there conditions. Check based on strength and rigidity. Use G = 78268 MPa. Use two (2) decimal places.
Two solid circular shafts are connected through a flange bolt coupling consisting of 3 circular bolt rows. The free ends of the shafts are to be subjected by equal torque. Solid Shafts Diameter (mm) Length (m) Shear Modulus (GPa) Shaft A Shaft B 65 66 3 3.8 81 84.6 Flange-bolt coupling Bolt Circle Diameter (mm) Bolt Alowable Shear Stress (MPa) Bolt Diameter Shear Modulus Number of Bolt Row (mm) (GPa) Bolts 1 95 14 77 35 4 2 116 17 97 42 10 3 135 13 93 49 14 A Calculate the torque capacity of the flange-bolt coupling (kN-m). B. Calculate the stresses in both shaft if the torque capacity is applied at both ends (MPa). C. Calculate the total angle of twist (in degrees).