The composite shaft consists of a mid-section that includes the 25-mm-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thíckness of the flanges. The shaft is subjected to a torque of T = 1000 N. m. The material is A-36 steel, G = 75 GPa (Figure 1) Part A Determine the angle of twist of end C of the shaft relative to end D. Express your answer using three significant figures. vec rad $C|D = 0.0542 Submit Previous Answers Request Answer Figure < 1 of 1 <> X Incorrect; Try Again; 4 attempts remaining < Return to Assignment Provide Feedback T 25 mm 75 mm 6 mm 150 mm B 225 mm 1150 mm

The composite shaft consists of a mid-section that includes the 25-mm-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thíckness of the flanges. The shaft is subjected to a torque of T = 1000 N. m. The material is A-36 steel, G = 75 GPa (Figure 1) Part A Determine the angle of twist of end C of the shaft relative to end D. Express your answer using three significant figures. vec rad $C|D = 0.0542 Submit Previous Answers Request Answer Figure < 1 of 1 <> X Incorrect; Try Again; 4 attempts remaining < Return to Assignment Provide Feedback T 25 mm 75 mm 6 mm 150 mm B 225 mm 1150 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The composite shaft consists of a mid-section that includes the 25-mm-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thickness of the flanges. The shaft is subjected to a torque of T = 1000 N. m. The material is A-36 steel, G = 75 GPa (Figure 1) Part A Determine the angle of twist of end C of the shaft relative to end D. Express your answer using three significant figures. vec ? $C/D = 0.100 rad Submit Previous Answers Request Answer Figure 1 of 1 X Incorrect; Try Again; 5 attempts remaining ( Return to Assignment Provide Feedback 25 mm 75 mm 6 mm A 150 mm. 225 mm 1150 mm. 圓

A torsion member is fabricated from two concentric thin tubes. At the ends, the tubes are welded to rigid discs so that both the tubes are twisted as a unit. The radius of the outer tube is 2r and that of the inner tube is r. If the shear stresses developed in the outer tube is 'T', then the shear stress in the inner tube will be (a) (b) 0.25t (c) 0.75t (d) 0.5t
The solid cylinders AB and BC are bonded together at B and are attached to fixed supports at A and C. Knowing that the modulus of rigidity is 3.7E6 psi for aluminum and 5.6E6 psi for brass, determine the maximum shearing stress in cylinder AB And cylinder BC in ksi. 1 Aluminum T= 19.6 kip-in. Brass A - 1.4 in. B <-2.1 in. C 10 in. 15 in.
Determine the force P necessary to close the gap at the steel post. The steel post is 2 inch x 2 inch square and 8 in high. The aluminum alloy bar is 1.5 inch wide by 1 inch thick and 20 in long. The horizontal bar is considered rigid as are the loading caps at the steel post. The modulus of elasticity for the steel is 30,000 ksi, that of aluminum is 10,000 ksi. The yield stress for the steel is 36 ksi, that of the aluminum is 40 ksi. 8" 10" Steel 10" Rigid Aluminum 20 inches long * P 10" Gap = 0.02 inches
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 0.80 in., a length of L1 = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.3 ksi. Brass segment (2) has an outside diameter of 0.60 in., a wall thickness of 0.05 in., a length of L2 = 30 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.
Problem 4 The solid cylinders AB and BC are bonded together at B and are attached to fixed supports at A and C. Knowing that the modulus of rigidity, G, is 3.7 × 106 psi for aluminum and 5.6 x 106 psi for brass, determine the maximum shear stress (a) in cylinder AB, (b) in cylinder BC. Aluminum - 12 in. + 1.5 in. B T = 12.5 kip - in. Brass- 18 in. 2.0 in.
A magnesium-alloy rod (E = 6.5 x 10 ksi) of Prob. 3.4-6. diameter d 1 in. is encased by a brass tube (E 15 x 10 ksi) with outer diameter d, = 1.5 in.; both have length L = 20 in. An axial load P = 10 kips is applied to the resulting bimetallic rod. (a) Determine the normal stresses and , in each material, assuming that the magnesium rod and brass tube are securely bonded to each other. (b) Determine the elongation of the bimetallic rod. P
3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional area of 22.5 mm?. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of 40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa. a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1) and (2). b) Write the equilibrium and compatibility equations needed to solve the problem along with the supporting sketches. Hint: Be sure to carefully consider if the members are elongating or shortening; this must be represented mathematically. c) Calculate the internal forces in both axial members and clearly indicate tension or compression. [Ans. to Check: F2 = 535 N]
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 = 45 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.6 ksi. Brass segment (2) has an outside diameter of 0.80 in., a wall thickness of 0.14 in., a length of L2 = 32 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 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.
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
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 0.55 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.8 ksi. Brass segment (2) has an outside diameter of 0.45 in., a wall thickness of 0.15 in., a length of L₂ = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine: (a) the allowable torque Te 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. L₁ L2 TB (1) Answer: (a) TB= (b) T₁ = T2= (c) OB= B lb-ft lb-ft lb-ft rad (2) C
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 0.90 in., a length of L1 = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L2 = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque Tg 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 T.