A solid 1.500-in.-diameter steel [G= 13,000 ksi] shaft is subjected to torques TB - 265 lb-ft and TD-80 lb-ft, acting in the directions shown. Assume a-42 in., b = 78 in., and c- 30 in. If the allowable shear stress in the shaft is 12 ksi, determine the maximum torque Tc that can be applied to the shaft.

A solid 1.500-in.-diameter steel [G= 13,000 ksi] shaft is subjected to torques TB - 265 lb-ft and TD-80 lb-ft, acting in the directions shown. Assume a-42 in., b = 78 in., and c- 30 in. If the allowable shear stress in the shaft is 12 ksi, determine the maximum torque Tc that can be applied to the shaft.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to transmit 480 hp at 1,600 rpm.…

A: Given values:Power, P = 480 HPSpeed, N = 1600 rpmG = 4000 ksi = 576000 kip/ft2Maximum shear stress,…

Q: tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to haft must not exceed 7 ksi, and…

Q: A tubular aluminum alloy [G= 4,000 ksi] shaft is being designed to transmit 480 hp at 2,700 rpm. The…

A: Power, P = 480 HP Speed, N = 2700 rpm G = 4000 ksi = 576000 kip/ft2 Maximum shear stress, τmax= 6…

Q: The shaft shown is supported by at A and at C. If the material has an allowable bending stress of 24…

A: The bending equation is as follows, σy = MIWhere,σ = Bending stressy = Distance between neutral axis…

Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…

Q: A solid 40 mm diameter shaft is subjected to the torques shown. The bearings shown allow the shaft…

Q: t= 10 -Op- (а) (b)

A: Solution Given data Allowable shear stress ζallowbale= 40 MPa= 40*106 Pa Allowable rate of twist θ=…

Q: determine the maximum torque T that can be applied.

A: Solution: Allowable shear stress: Dd = 5020 = 2.5 rd = 420 = 0.20 Taken that, K = 1.25 τmax =…

Q: A hollow titanium [G=31 GPa] shaft has an outside diameter of D = 57 mm and a wall thickness of t =…

A: Given data:Outside diameter=D= 57 mmThickness of wall,t=1.61 mmMaximum shear stress,= 246 mmThe…

Q: 3. The aluminum shaft, composed of three segments is fastened to rigid supports as A and D.…

Q: A solid circular bronze [G = 6,500 ksi] shaft, 6.4 ft long and 1.600 in. in diameter, carries a…

Q: The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of Tallow - 6 MPa.…

A: Given data, Radius of shaft (r) = 25 mm Allowable shear stress = 6 MPa

Q: The shäft iš made portion made of steel and having a brass core. If it is fixed to a rigid support…

Q: 240 lb-ft 215 lb-ft 110 lb-ft (1) A (2) (3) B 36 in. 36 in. 36 in.

Q: The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of Tallow =60 MPa.…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ =…

Q: The 20-mm diameter shaft is subjected to torques as shown. The shaft is made of steel with the…

Q: The aluminum rod AB (G = 27 GPa) is bonded to the brass rod BD (G= 39 GPa). Knowing that portion CD…

Q: A solid 1.10 in. diameter shaft is subjected to a torque of T = 370 lb-ft and an axial load of P =…

Q: A solid circular bronze [G- 6,500 ksi] shaft, 5.4 ft long and 1.125 in. in diameter, carries a…

Q: A solid circular bronze (G = 6,500 ksi] shaft, 4.0 ft long and 1.350 in. in diameter, carries a…

Q: A hollow tube ABCDE constructed of monel-metal is subjected to five torques acting in the directions…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

Q: A steel shaft is loaded as shown. Knowing that T₁ = 1000 N.m, T₂ = 1600 N.m, L=250 mm, d 40 mm, D =…

A: Given: T1 = 1000N .m T2 =1600 N.m, L = 250mm , d =40 mm, D = 45mm Required : Maximum shear stress…

Q: 2. The engine of the helicopter is delivering 600 hp to the rotor shaft AB when the blade is…

Q: A solid 1.250-in-diameter steel shaft is subjected to torques Tg - 190 lb-ft and Tp- 115 Ib-ft,…

A: Given data: Maximum shear stress = 12 ksi diameter of solid shaft = 1.25 in TB = 190 lb.ft TD = 115…

Q: C 1 ft 2 ft B 150 lb-ft/ft A 2 ft A copper pipe is tightly secured to the wall at C and a uniformly…

A: Objective: To determine the shear stress at point A. Given: Outer diameter of the pipe (D) = 3.5…

Q: A solid 1.20 in. diameter shaft is subjected to a torque of T = 230 lb-ft and an axial load of P =…

Q: Ends A and D of the two solid steel shafts AB and CD are fixed, while ends B and C are connected to…

A: Hi! Thank you for the question As per the honor code, We’ll answer the questiononly in typed…

Q: -) The 150-mm-diameter rods AB and BC, having the original lengths shown, are joined at the collar B…

A: step 1-

Q: The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are…

Q: A solid stainless steel [G= 12,500 ksi] shaft that is 30 in. long will be subjected to a pure torque…

A: Solution is attached below as

Q: A stepped shaft is as in Figure 5-13. The AB part is aluminum (G = 28GPA) and the BC part is steel…

A: Given data:A stepped shaft with two spans and are fixed at ends, Span of AB=1.2 m Span of BC=2m…

Q: P A (0) B (2) (3) FIGURE P1.6/7 P1.7 WP Axial loads are applied with rigid bearing plates to the…

Q: A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P =…

Q: A hollow steel [G= 12,000 ksi] shaft with an outside diameter of 3.50 in. will be subjected to a…

A: Given data of Hollow steel shaft :- G = 12 * 103 Ksi = 12 * 106 lb /in2 Outside diameter (do) = 3.50…

Q: Current Attempt in Progress The compound shaft consists of a solid aluminum segment (1) and a hollow…

A: Determine:(a) the allowable torque TB that can be applied to the compound shaft at flange B.(b) the…

Q: A solid stainless steel [G= 12,500 ksi] shaft that is 30 in. long will be subjected to a pure torque…

Q: The steel used for the step shaft has an allowable shear stress of Tallow radius at the transition…

Q: A solid circular steel shaft having an outside diameter of 1.75 in. is subjected to a pure torque of…

Q: securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a…

Concept explainers

British Gravitational Bg System Of Units

Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step by step

Solved in 6 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The 54-mm-diameter solid shaft is made of 2014-T6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where T = 1.75 kN.m. (Figure 1) Figure 04m 0.6 m, 2 kN-m/m 1 of 1> Determine the angle of twist at the free end A of the shaft. Express your answer in degrees to three significant figures. 6 = 17 ΑΣΦ ↓↑ Submit Provide Feedback Request Answer vec ?
2.0 in 3.0 in. The tubular torsional shaft shown above is made ofa stainless steel metal with the following properties: E = 28500 ksi • G= 11000 ksi • v = 0.37 If the pipe cross-section is subjected to an internal torque of T 50 kip-in, which of the following is closest to the minimum shear stress action on the cross-section? 3.92 ksi 1.57 ksi 7.84 ksi
Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. The diameter of rod (1) is 1.75 in. and the diameter of rod (2) is 2.50 in. Determine the normal stresses in rods (1) and (2). (F1, F2, 01, 02) 35 kips 10 kips (1) A -d₁ 35 kips B C d₂
The copper pipe has an outer diameter of 50mm and an inner diameter of 30mm. If it is fixed at A and three torques are applied to it as shown, solve the shear stress at section 1. A 200mm 250mm 3. 30 N-m 300mm 20 N-m 80 N m O 2.34MPA O 7.49MPA O 4.68MP O 3.74MPA
The shaft has a radius of 15 mm and is made of L2 tool steel. Determine the strains in the x and y direction if a torque T = 2 kN # m is applied to the shaft.
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
A solid circular bronze [G = 6,500 ksi] shaft, 6.2 ft long and 1.150 in. in diameter, carries a torque of 85 lb-ft. For this shaft, determine: (a) the maximum shear stress in the shaft. (b) the magnitude of the angle of twist. Answer: (a) Tmax psi (b) Ф%3
A solid 1.00 in. diameter shaft is subjected to a torque of T = 240 lb-ft and an axial load of P = 5000 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch. Answer: (a) Op1 = i Op2 = i Tmax in-plane A i H (1) 요. 요.. psi psi T B psi P X (b) Show the stresses of part (a) and their directions on an appropriate sketch.
Problem 1: Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T=2880 N and T;=432 N. The maximum bending moment is atx= 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). y 230 mm T, 280 mm 30-mm dia. T C 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Discard the indicated shaft diameter and use DE-Goodman criteria to determine the critical diameter of the shaft based on infinite fatigue life with a design factor n of 1.5. (Take the same value of endurance limit as that used 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 = 50 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.7 ksi. Brass segment (2) has an outside diameter of 0.85 in., a wall thickness of 0.13 in., a length of L2 = 38 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.0 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 bell-crank mechanism is in equilibrium for an applied load of F1 = 11 kN applied at A. Assume a = 250mm, b = 100mm, c = 90mm, and θ = 40°. Pin B is in a double-shear connection and has a diameter of 29 mm. The bell crank has a thickness of 31 mm. Determine the shear stress in pin B and bearing stress in the bell crank at B. Express your answer in MPa rounded to the nearest hundredths.
A solid circular bronze [G = 6,500 ksi] shaft, 6.0 ft long and 1.325 in. in diameter, carries a torque of 90 Ib-ft. For this shaft, determine: (a) the maximum shear stress in the shaft. (b) the magnitude of the angle of twist. Answer: (a) Tmax = psi (b) Ф%3D