Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 23P
If the shaft of Problem 22 is 850 mm long and is made of steel, compute the angle of twist of one end in relation to the other.
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A circular steel shaft of diameter 30 mm is subjected to a torque of 60 N-m. Calculate the angle of twist if the length of the shaft is 20 m.
A circular shaft with diameter 50mm and its length is 850mm long and is made of steel,The shaft is subjected to a torque of 800Nm. Compute the angle of twist of one end inrelation to the other.
A hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required to tranmit a power of 60kW at a speed of 2950 rpm if the modulus of rigidity is 79.5GPa calculate the angle of twist in degrees
Chapter 3 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
Ch. 3 - A tensile member in a machine structure is...Ch. 3 - Compute the stress in a round bar having a...Ch. 3 - Compute the stress in a rectangular bar having...Ch. 3 - A link in a packaging machine mechanism has a...Ch. 3 - Two circular rods support the 3800 lb weight of a...Ch. 3 - A tensile load of 5.00 kN is applied to a square...Ch. 3 - An aluminum rod is made in the form of a hollow...Ch. 3 - Compute the stress in the middle portion of rod AC...Ch. 3 - Compute the forces in the two angled rods in...Ch. 3 - If the rods from Problem 9 are circular, determine...
Ch. 3 - Repeat Problems 9 and 10 if the angle is 15 .Ch. 3 - Figure P312 shows a small truss spanning between...Ch. 3 - The truss shown in Figure P313 spans a total space...Ch. 3 - Figure P314 shows a short leg for a machine that...Ch. 3 - Consider the short compression member shown in...Ch. 3 - Refer Figure P38 . Each of the pins at A, B, and C...Ch. 3 - Compute the shear stress in the pins connecting...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Compute the torsional shear stress in a circular...Ch. 3 - If the shaft of Problem 22 is 850 mm long and is...Ch. 3 - Compute the torsional shear stress due to a torque...Ch. 3 - Compute the torsional shear stress in a solid...Ch. 3 - Compute the torsional shear stress in a hollow...Ch. 3 - Compute the angle of twist for the hollow shaft of...Ch. 3 - A square steel bar, 25 mm on a side and 650 mm...Ch. 3 - A 3.00 in-diameter steel bar has a flat milled on...Ch. 3 - A commercial steel supplier lists rectangular...Ch. 3 - A beam is simply supported and carries the load...Ch. 3 - For each beam of Problem 31, compute its weight if...Ch. 3 - For each beam of Problem 31, compute the maximum...Ch. 3 - For the beam loading of Figure P334, draw the...Ch. 3 - For the beam loading of Figure P334, design the...Ch. 3 - Figure P336 shows a beam made from 4 in schedule...Ch. 3 - Select an aluminum I-beam shape to carry the load...Ch. 3 - Figure P338 represents a wood joist for a...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 40PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - Prob. 50PCh. 3 - Compute the maximum tensile stress in the bracket...Ch. 3 - Compute the maximum tensile and compressive...Ch. 3 - For the lever shown in Figure P353 (a), compute...Ch. 3 - Compute the maximum tensile stress at sections A...Ch. 3 - Prob. 55PCh. 3 - Refer to Figure P38. Compute the maximum tensile...Ch. 3 - Prob. 57PCh. 3 - Refer to P342. Compute the maximum stress in the...Ch. 3 - Refer to P343. Compute the maximum stress in the...Ch. 3 - Prob. 60PCh. 3 - Figure P361 shows a valve stem from an engine...Ch. 3 - The conveyor fixture shown in Figure P362 carries...Ch. 3 - For the flat plate in tension in Figure P363,...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - Prob. 68PCh. 3 - Figure P369 shows a horizontal beam supported by a...Ch. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - The beam shown in Figure P372 is a stepped, flat...Ch. 3 - Figure P373 shows a stepped, flat bar having a...Ch. 3 - Figure P374 shows a bracket carrying opposing...Ch. 3 - Prob. 75PCh. 3 - Figure P376 shows a lever made from a rectangular...Ch. 3 - For the lever in P376, determine the maximum...Ch. 3 - Figure P378 shows a shaft that is loaded only in...Ch. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - A hanger is made from ASTM A36 structural steel...Ch. 3 - A coping saw frame shown in Figure P382 is made...Ch. 3 - Prob. 83PCh. 3 - Figure P384 shows a hand garden tool used to break...Ch. 3 - Figure P385 shows a basketball backboard and goal...Ch. 3 - Prob. 86P
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- Thank you so much in advance!! A Solid circular shaft with a 120 mm diameter and a number of pulleys loaded as shown. The end A is fixed. Calculate the (a) Torque at A. (b) the Maximum shear stress in the shaft and (c) the Angle of twist at A, B, C and D. (Note: The shear modulus of the material is 27 GPa)arrow_forwarda) Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected to a torque of 800 N.m. b)If the shaft of Problem above is 850 mm long and is made of steel, compute the angle of twist of one end in relation to the other.arrow_forwardA solid circular shaft is subjected to a torque of 21,334 in-lb. Calculate the diameter required if the allowable twist is 1.7° per foot, and the material is steel alloy which has a modulus of rigidity of 12,000,000 psi.arrow_forward
- in a solid circular shaft under torsion use the diagram below to draw and explain a) what the angle of twist is? b)what the shear strain is?arrow_forwardA solid and a hollow shaft are made of same material. The diameter of the solid shaft is 300 mm and has the same cross-sectional area as a hollow shaft with inside diameter of 250 mm. Find the ratio of the Angles of twist in equal lengths of these shafts, when stressed to the same intensityarrow_forwardCalculate the maximum allowable torque (in-lbs). A solid steel shaft is made from AISI 1045 steel, with a 9.0" diameter and length of 44". The maximum allowable shear stress on the material is 6200 psi. Based on the answer above, what is the required RPM if this shaft needs to transmit 4500 HP at the maximum allowable torque?arrow_forward
- A solid steel machine shaft with safe shearing stress of 7000 psi transmits a torque of 10,500 in-lb. A square key is used whose width is equal to one-fourth the shaft diameter and whose length is equal to 1.5 times the shaft diameter. Find the shearing stress in the key in psi.arrow_forwardA square steel bar, 25 mm on a side and 650 mm long,is subjected to a torque of 230 N #m. Compute the shear stress and the angle of twist for the bar.arrow_forwardUsing the results of problem 2, plot the shear force as a function of the shaft diameter using an Excel sheet. (5 mm (< or= to) D (< or= to) 100 mm)arrow_forward
- A cast-iron pulley transmits 49 kW at 1,750 rpm. The shaft to which it is to be keyed is 44.4 mm in diameter. If the key width is 10 mm and allowable shearing and compression stresses are 151.6 MPa and 271.2 MPa, compute the length of the square key needed.arrow_forwardA solid circular shaft has a uniform taper from one end to the other. The ratio of radius at the larger end to that at the smaller end is 1.2. Determine the error that occurs if the angle of twist for a given length is calculated using the mean radius of the shaft. Please do it by using given conditionarrow_forwardA roller chain is to transmit 5 hp from a gearmotor to a wood-working machine, with moderate shock. The 1-in output shaft of the gearmotor turns n = 500 rpm. The 1 ¼-in. driven shaft turns 250 rpm; C »16 in. (a) Determine the size of sprockets and pitch ofchain that may be used. If a catalog is available, be sure maximum bore of sprocket is enough to fit the shafts. (b) Compute the center distance and length of chain. (c) What method should be used to supply oil to the chain?arrow_forward
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Understanding Torsion; Author: The Efficient Engineer;https://www.youtube.com/watch?v=1YTKedLQOa0;License: Standard YouTube License, CC-BY