Please show intermediate steps including free body diagrams, equations used, and problem setup, so that your approach can be followed. 4. (Problem 3.53 from the text book) A torque T = 40 kip · in. is applied at end A of thecomposite shaft shown. Knowing that the modulus of rigidity is 11.2 x 106 psi for steel and4 x 10 psi for aluminum, determine (a) the maximum shearing stress in the steel core, (b)the maximum stress in the aluminum shell, (c) the angle of twist at A.3 in.24in.ASteel100 in.AluminumTHIS IS FOR EXTRA CREDIT5. (Problem 3.67 from the text book) Determine the maximum shearing stress in a solid shafthere to searchA 31°F Cloudy

This question is related to the Torsion from Strength of Material.

Answered: Please show intermediate steps…

Please show intermediate steps including free body diagrams, equations used, and problem setup, so that your approach can be followed.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A prismatic shaft consists of a solid brass rod of diameter 32 mm, which is inside a steel tube of diameter 50 mm. 2GB) Both shafts are firmly (Gs jointed. The combined assembly is subjected to a torque of 1000 Nm. calculate maximum shear stress = developed in steel in N/mm2 (up to 2 decimals)
4. The shaft consisting of steel and aluminum segments carries the torques T and 2T as shown in the figure. Find the largest allowable value of T if the allowable shear stresses are 83 MPa for steel and 55 MPa for aluminum, and the angle of rotation at the free end must not exceed 6°. Use G = 83GPa for steel and 28 GPa for aluminum. 2T 50 mm dia T 40 mm dia Steel 900 mm Aluminum 600 mm
The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. If a force of 60 kip is applied to ring F and the allowable stress of the material is 67 ksi, determine the cross-sectional area of each rod and the horizontal displacement of point F. B AAB = a in² AL 6 ft E 1 ft2 ft- AEF=2a in² 2 ft FO 60 kip D ACD = 1.5a in² C
The rigid bar AB, attached to two vertical rods as shown in Fig. is horizontal before the load P is applied. Determine the maximum value for P If the stress must not exceed: 160 MPa for steel and 80 MPa for Bronze. Then determine the vertical movement of P. BRONZE L-5 m A 500 mm E-80 GPa STEEL L-4 m A-400 mm E-200 GPa 3 m. 5 m. VP
The assembly consists of three titanium (Ti-6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. If a force of 60 kip is applied to ring F and the allowable stress of the material is 67 ksi, determine the cross-sectional area of each rod and the horizontal displacement of point F. B AAB = a in² E 6 ft -1 ft2 ft- AEF 2a in² 2 ft FO 60 kip D ACD= 1.5a in² C
A rigid bar ABCD is supported by two bars as shown in the figure. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in rod (1) is -1350 µm/m. Determine the normal strain in rod (2) if there is a 1-mm gap in the connection at pin C before the load is applied. A 240 mm B (1) O 1281 um/m O 1877 µm/m O 1141 µm/m O 1358 µm/m O 999 µm/m 360 mm (2) Rigid bar 900 mm C 140 mm, 1,500 mm
3. The rigid bar weighs 5 kN/m, is supported as shown. The assembly is initially stress-free. Find the stress in each rod if the temperature rises 20°C after a load W = 150 kN is applied. A (mm?) a (FC) E (GPa) Steel rod 300 11.7 x 10-6 200 Bronze rod 1400 18.9 x 10-6 83 Bronze | 3 m Steel 1.5 m ►| 1.0 m 2.5 m 2 m W
The horizontal bar ABC is supported by a pin at A and two rods with identical cross- sectional areas. The rod at B is steel and the rod at C is aluminum. Neglecting the weight of the bar, determine the force in each rod when the force P = 80 kN is applied. Use Est = 200 GPa and Eal = 70 GPa. %3D Steel Aluminum A B T2 m- 1.5 m- Im
Part 2 * Your answer is incorrect. The z-component of momemt M will cause compression at A and B, and tension at C and D. The y-component of moment M will cause compression at A and D, and tension at B and C. The maximum tensile bending stress will occur at point C. Calculate the magnitude of the largest bending moment that can be applied so that the stress at corner C does not exceed 205 MPa. Answer: M- eTextbook and Media Save for Later Part 3 8.31E1 Answer: M-i The z-component of moment M will cause compression at A and B, and tension at C and D. The y-component of moment M will cause compression at A and D, and tension at B and C. The maximum compressive bending stress will occur at point A. Calculate the magnitude of the largest bending moment that can be applied so that the stress at corner A does not exceed 205 MPa. eTextbook and Media Save for Later Part 4 kN-m * Your answer is incorrect. kN-m Submit Answer Determine the maximum bending moment that can be applied to this cross…
Determine the maximum force P that can be applied to the specimen. The bar is made from steel and has an allowable stress of 150 MPa. 2R = 5mm R = 20mm- PP 150mm -6mm
Part A A solid steel shaft is 14 ft. long, has a diameter of 6 inches over 9 ft. of its length and a diameter of 4 inches for the remaining length, as shown. The shaft is in equilibrium when subjected to the 3 torques shown in the figure below. Ⓒ 4.24 ksi 0.354 ksi TA Ⓒ4.77 ksi 9.01 ksi 6 in. -9 ft. Calculate the maximum shear stress in the shaft when subjected to the given torques. 20 ft-kip B 5 ft-kip C 4 in.
The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.0 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.13 in., a length of L₂ = 28 in., a shear modulus of 6400 ksi, and an allowable shear stress of 7.7 ksi. Determine: (a) the allowable torque TB that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. y L₁ L2 TB. X (1) (2) N Answer: (a) TB = (b) T₁ = T₂= (c) DB = lb-ft lb-ft lb-ft rad B C