A composite shaft is made by slipping a bronze tube of 90 mm outer diameter and 60 mm inner diameter over a solid steel shaft of the same length and 60 mr diameter. The two components are then fastened rigidly together at their ends. If the composite shaft carries 8000 N-m torque, determine the maximum shear

A composite shaft is made by slipping a bronze tube of 90 mm outer diameter and 60 mm inner diameter over a solid steel shaft of the same length and 60 mr diameter. The two components are then fastened rigidly together at their ends. If the composite shaft carries 8000 N-m torque, determine the maximum shear

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

See similar textbooks

Similar questions

A steel rod of 20mm is enclosed centrally in a hollow copper tube of external diameter 40mm and internal diameter of 35mm the composite bar is then subjected to an axial pull of 50KN.If the length of each bar is equal to 200mm,determine 1.The stress in the rod and the tube 2.Load carried by each bar Take E for steel=200KN/mm2 and copper =100KN/mm2
The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 25 mm, an inside diameter of 20 mm, and a shear modulus of G1 = 41 GPa. The solid steel core has a diameter of 20 mm and a shear modulus of G2 = 82 GPa. Assume L = 350 mm. The composite shaft is subjected to a torque of T = 910 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. T (1) (2) В
The composite shaft consists of a copper rod that fits loosely inside an aluminum sleeve. The two components are attached to a rigid wall at one end and joined with an end-plate at the other end. Determine the maximum shear stress in each material when the 2-kN m torque is applied to the end-plate. Use G = 26 GPa for aluminum and G =47 GPa for copper.
The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 40 mm, an inside diameter of 25 mm, and a shear modulus of G1 = 45 GPa. The solid steel core has a diameter of 25 mm and a shear modulus of G2 = 80 GPa. Assume L = 600 mm. The composite shaft is subjected to a torque of T = 900 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. A T T (1) B Answers: (a) 71 = MPa T2 = MPa (Б) ФвА rad
The composite shaft shown consists of a 5-mm-thick brass jacket (Gbrass = 39 GPa) bonded to a 40-mm-diameter steel core (Gsteel = 77.2 GPa). Knowing that the shaft is subjected to a 600 N·m torque, determine a) the maximum shearing stress in the brass jacket, b) the maximum shearing stress in the steel core, and c) the angle of twist of B relative to A. T 40 mm 5 mm A 2 m Steel core T' B Brass jacket
The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 40 mm, an inside diameter of 30 mm, and a shear modulus of G1 = 42 GPa. The solid steel core has a diameter of 30 mm and a shear modulus of G2 = 84 GPa. Assume L = 380 mm. The composite shaft is subjected to a torque of T= 820 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end Brelative to end A. T T (1) B Answers: (a) T1 = MPa T2 = MPa (b) PBIA rad (2)
A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in the figure. Axial loads are applied at the positions indicated. If P 4000 Ib and the cross-sectional area of the rod is 1.0 sq.in. What is %3D the stress in the bronze? (in ksi) Note: indicate sign (no sign means positive/tenslon) 4P Steel Bronze Aluminum 2 ft 3 ft 2.5 ft
A hollow bronze shaft of 3 in. outer diameter and 2 in. inner diameter is slipped over a solid steel shaft 2 in. in diameter and of the same length as the hollow shaft. The two shafts are then fastened rigidly together at their ends. For bronze, G = 6 × 106 psi, and for steel, G = 12 × 106 psi. What torque can be applied to the composite shaft without exceeding a shearing stress of 8000 psi in the bronze or 12 ksi in the steel?
PROBLEM 6/6 F = 520 kN Determine the stress in each aluminum and steel bars after 0.2 mm F = 520 kN is applied. Note that a gap of 0.2 mm exist before the external load is Steel 280 mm applied and bars has equal distance with each other. Neglect the weight at the flat form. A = 1100 mm² E = 200 Gpa A = 2500 mm² E = 70 GPa Steel Aluminum
Determine the value of load P if At = 30 °C and the stress in bronze is limited to 132 MPa. Aluminum Bronze A = 600 mm? A = 500 mm? L= 2.0 m L= 2.50 m E = 70 GPa a = 23x10/ °C E = 83 GPa a = 18.90x10/ °C |c B D A O 2.0 m 3.0 m 1.0 m
The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0 and if the elastic mođulus and length of the bar is 200 GPa and 2 m respectively, calculate the elongation in mm of the bar corresponding to the maximum load it can support. (А) 5 (в) 2.5 1.25 D) 0.625
A composite assembly consisting of a steel [G = 80 GPa] core (2) connected by rigid plates at the ends of an alumin GPa] tube (1) is shown. The cross-sectional dimensions of the assembly are shown in the second figure. Assume L D1 = 56, d1 = 37 mm, d2 = 19 mm. If a torque of T = 1200 N-m is applied to the composite assembly, determine (a) the maximum shear stress in the aluminum tube and in the steel core. (b) the rotation angle of end B relative to end A. A (1) (2) T T B L (1) d2 di D Answers: (a) Talum = i MPa Tsteel = i MPa (Б) Фв — ФА 3 i rad