Example 7.5: (Numerical problem of a circular shaft) A circular shaft 10 cm diameter and 1.1 m length is required to transmit power wsth a maxi- mum angle of twist of 3°. (a) VWhat is the maximum possible torque that can be transmitted by this shaft? (b) Find the maximum shear stress induced. (c) Find the maximum possible power transmitted for N = 1500 r pm. Given that modulus of rigidity G=8x 10 M Pa.

Example 7.5: (Numerical problem of a circular shaft) A circular shaft 10 cm diameter and 1.1 m length is required to transmit power wsth a maxi- mum angle of twist of 3°. (a) VWhat is the maximum possible torque that can be transmitted by this shaft? (b) Find the maximum shear stress induced. (c) Find the maximum possible power transmitted for N = 1500 r pm. Given that modulus of rigidity G=8x 10 M Pa.

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

Submit correct and complete solutions. give propriate Explanation. Provide step-by-step detailed explanations.
8.4 (A). A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowable stress is not to exceed 60 MN/m² nor the angle of twist 0.3° per metre length of shafting. If the outside diameter of the shaft is 300 mm find the minimum thickness of the hollow shaft to satisfy the above conditions. G = 80 GN/m² [61.5 mm.]
The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure Q2(c). If the allowable shear stress of the shaft is 88kPa (i) Determine the maximum torque T that can be transmitted by the shaft. (ii) What would be the maximum torque T' if a 25 mm diameter hole is bored through the shaft? (iii) Sketch the shear-stress distribution along a radial line in each case. T Figure Q2(c)
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.
6. A 2.5 in.-diameter steel propeller shaft of a boat transmits 2800 hp @ 1800 rpm. Bending and axial loads are negligible. Clearly draw and label necessary schematic diagrams and list necessary assumptions. (a) What is the shear stress at the surface of shaft? (b) If a hollow shaft of inside diameter 0.88 times outside diameter is used, what outside diameter would be required to give the same outer surface stress? (c) Compare weights of the solid and hollow shafts. What is % saving in weight of shaft material if hollow shaft is used? (d) As a design engineer, what important lesson have you learned from solving this this? (e) What is Polar Moment of Inertia?
A solid shaft 5 m long is stressed to 60 MPa when twisted through 4 deg . Using G = 83 GPa, what power (Hp) can be transmitted by the shaft at 20 rps?
A steel shaft is to transmit 4.5 MW at 3 Hz without exceeding a shearing stress of 50 MPa or twisting through more than 10 in a length of 26 diameters. Compute the proper diameter if G = 83 GPa. [Note: Attach your solution] %3D
-10 108 (mm) Figure 5.41 5.21 Determine the St Venant torsion constant for the thin tapered section in Fig. 5.41. Hence derive an expression for the shear stress acting along the longer edges in terms of the torque T when the thickness 10 st s 1. If T = 15 Nm estimate the position and magnitude of the maximum shear stress from a consideration of contours of constant shear stress
5- Please solve this question in detail. Thanks
2. Justify the simplification of this problem to only modeling one-eighth of the cross section 3. Construct two-dimensional elements grid (i.e., grid/mesh region), make the correct numbering and labeling of the nodes and elements.
Steel shaft can be produced as solid body or circular tube with circular tube. The shaft must bear a torque of 1200 Nm. Since the shear strength for the shaft material is 40 MPa, the maximum allowable unit torsion angle of the bar is 0.75 ^ 0 / m and the shear modulus of steel is G = 78 GPa;a) Find the required diameter d0 for a solid circle shaft.b) Find the required outside diameter d2 for a ring-section shaft whose thickness is one tenth of the outer diameter.c) Find the diameter ratio (d2 / d0 ratio) and weight ratio for ring cross section and solid section shafts
Q2(c) The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure Q2(c). If the allowable shear stress of the shaft is 80kPa, i)Determine the maximum torque T that can be transmitted by the shaft. ii)What would be the maximum torque T' if a 25 mm diameter hole is bored through the shaft? Figure Q2(c.) |Q2 c) (i) T c The torsion formula :7 = J Т (0.019) T (0.019)^4 ; Therefore, the max torque T = x10 Nm 80 2 Q2 c) (ii) For point lying on the outside suurface of the shaft: x10 ="(0.019) * (0.019*-0.0125 ) ; Therefore the max torque T' Nm 80 2 Q2 c) (iii) The shear stress at point located at inner surface of shaft, T'c T = -= J ) (0.0125) = 7 (0.019*-0.01254) T'c kPa 4. 2 2.