Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 37P
To determine
The minimum diameter of the shaft.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
8.5-20 For purposes of analysis, a segment of the crank-
shaft in a vehicle is represented as shown in the figure. Two
loads P act as shown, one parallel to (-xo) and another par-
allel to zo; each load P equals 1.0 kN. The crankshaft dimen-
sions are b, = 80 mm, b, = 120 mm, and bz = 40 mm. The
diameter of the upper shaft is d = 20 mm.
(a) Determine the maximum tensile: compressive, and
shear stresses at point A, which is located on the surface of
the upper shaft at the zo axis.
(b) Determine the maximum tensile, compressive, and
shear stresses at point B, which is located on the surface of
the shaft at the yo axis.
|Yo
b = 80 mm
B
d = 20 mm
b2 = 120 mm
P.
bz = 40 mm-
P = 1.0 kN
PROB. 8.5-20
8.5-20 For purposes of analysis, a segment of the crank-
shaft in a vehicle is represented as shown in the figure. Two
loads P act as shown, one parallel to (–xo) and another par-
allel to zo; each load P equals 1.0 kN. The crankshaft dimen-
sions are b1
diameter of the upper shaft is d = 20 mm.
80 mm, b2 = 120 mm, and b3 =
40 mm. The
8.5-20 For purposes of analysis, a segment of the crank-
shaft in a vehicle is represented as shown in the figure. Two
loads P act as shown, one parallel to (–xo) and another par-
allel to zo; each load P equals 1.0 kN. The crankshaft dimen-
sions are b1 = 80 mm, b2 = 120 mm, and b3 = 40 mm. The
diameter of the upper shaft is d = 20 mm.
(a) Determine the maximum tensile: compressive, and
shear stresses at point A, which is located on the surface of
the upper shaft at the zo axis.
(b) Determine the maximum tensile, compressive, and
shear stresses at point B, which is located on the surface of
the shaft at the yo axis.
%3D
| Yo
bi = 80 mm
B
- XO
d= 20 mm
bz = 120 mm
bz = 40 mm'
P = 1.0 kN
Chapter 4 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 4 - The figure shows a torsion bar OA fixed at O,...Ch. 4 - For Prob. 41, if the simple support at point A...Ch. 4 - A torsion-bar spring consists of a prismatic bar,...Ch. 4 - An engineer is forced by geometric considerations...Ch. 4 - A bar in tension has a circular cross section and...Ch. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Derive the equations given for beam 2 in Table A9...Ch. 4 - Derive the equations given for beam 5 in Table A9...Ch. 4 - The figure shows a cantilever consisting of steel...
Ch. 4 - A simply supported beam loaded by two forces is...Ch. 4 - Using superposition, find the deflection of the...Ch. 4 - A rectangular steel bar supports the two...Ch. 4 - An aluminum tube with outside diameter of 2 in and...Ch. 4 - The cantilever shown in the figure consists of two...Ch. 4 - Using superposition for the bar shown, determine...Ch. 4 - A simply supported beam has a concentrated moment...Ch. 4 - Prob. 18PCh. 4 - Using the results of Prob. 418, use superposition...Ch. 4 - Prob. 20PCh. 4 - Consider the uniformly loaded simply supported...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - 429 to 434 For the steel countershaft specified in...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - For the steel countershaft specified in the table,...Ch. 4 - For the steel countershaft specified in the table,...Ch. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - The cantilevered handle in the figure is made from...Ch. 4 - Prob. 42PCh. 4 - The cantilevered handle in Prob. 384, p. 154, is...Ch. 4 - A flat-bed trailer is to be designed with a...Ch. 4 - The designer of a shaft usually has a slope...Ch. 4 - Prob. 46PCh. 4 - If the diameter of the steel beam shown is 1.25...Ch. 4 - For the beam of Prob. 4-47, plot the magnitude of...Ch. 4 - Prob. 49PCh. 4 - 4-50 and 4-51 The figure shows a rectangular...Ch. 4 - and 451 the ground at one end and supported by a...Ch. 4 - The figure illustrates a stepped torsion-bar...Ch. 4 - Consider the simply supported beam 5 with a center...Ch. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Solve Prob. 410 using singularity functions. Use...Ch. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Solve Prob. 413 using singularity functions. Since...Ch. 4 - Prob. 61PCh. 4 - Solve Prob. 419 using singularity functions to...Ch. 4 - Using singularity functions, write the deflection...Ch. 4 - Determine the deflection equation for the...Ch. 4 - Use Castiglianos theorem to verify the maximum...Ch. 4 - Use Castiglianos theorem to verify the maximum...Ch. 4 - Solve Prob. 415 using Castiglianos theorem.Ch. 4 - Solve Prob. 452 using Castiglianos theoremCh. 4 - Determine the deflection at midspan for the beam...Ch. 4 - Using Castiglianos theorem, determine the...Ch. 4 - Solve Prob. 441 using Castiglianos theorem. Since...Ch. 4 - Solve Prob. 442 using Castiglianos theorem.Ch. 4 - The cantilevered handle in Prob. 384 is made from...Ch. 4 - Solve Prob. 450 using Castiglianos theorem.Ch. 4 - Solve Prob. 451 using Castiglianos theorem.Ch. 4 - The steel curved bar shown has a rectangular cross...Ch. 4 - Repeat Prob. 476 to find the vertical deflection...Ch. 4 - For the curved steel beam shown. F = 6.7 kips....Ch. 4 - A steel piston ring has a mean diameter of 70 mm....Ch. 4 - For the steel wire form shown, use Castiglianos...Ch. 4 - 4-81 and 4-82 The part shown is formed from a...Ch. 4 - 4-81 and 4-82 The part shown is formed from a...Ch. 4 - Repeat Prob. 481 for the vertical deflection at...Ch. 4 - Repeat Prob. 482 for the vertical deflection at...Ch. 4 - A hook is formed from a 2-mm-diameter steel wire...Ch. 4 - The figure shows a rectangular member OB, made...Ch. 4 - Prob. 87PCh. 4 - For the wire form shown, determine the deflection...Ch. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Solve Prob. 492 using Castiglianos method and...Ch. 4 - An aluminum step bar is loaded as shown. (a)...Ch. 4 - The steel shaft shown in the figure is subjected...Ch. 4 - Repeat Prob. 495 with the diameters of section OA...Ch. 4 - The figure shows a 12- by 1-in rectangular steel...Ch. 4 - For the beam shown, determine the support...Ch. 4 - Solve Prob. 498 using Castiglianos theorem and...Ch. 4 - Consider beam 13 in Table A9, but with flexible...Ch. 4 - Prob. 101PCh. 4 - The steel beam ABCD shown is simply supported at C...Ch. 4 - Prob. 103PCh. 4 - A round tubular column has outside and inside...Ch. 4 - For the conditions of Prob. 4104, show that...Ch. 4 - Link 2, shown in the figure, is 25 mm wide, has...Ch. 4 - Link 3, shown schematically in the figure, acts as...Ch. 4 - The hydraulic cylinder shown in the figure has a...Ch. 4 - The figure shows a schematic drawing of a...Ch. 4 - If drawn, a figure for this problem would resemble...Ch. 4 - Design link CD of the hand-operated toggle press...Ch. 4 - Find the maximum values of the spring force and...Ch. 4 - As shown in the figure, the weight W1 strikes W2...Ch. 4 - Part a of the figure shows a weight W mounted...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Solve the preceding problem for a W 200 × 41,7 shape with h = 166 mm, h = 205 mm. rw = 7.24 mm, tE= ILS mm,andV = 38 kN.arrow_forwardWhat is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?arrow_forwardCompare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?arrow_forward
- 8.5-20 For purposes of analysis, a segment of the crank- shaft in a vehicle is represented as shown in the figure. Two loads P act as shown, one parallel to (–xo) and another par- allel to zo; each load P equals 1.0 kN. The crankshaft dimen- sions are bị = 80 mm, b2 = 120 mm, and b3 = 40 mm. The diameter of the upper shaft is d = 20 mm. (a) Determine the maximum tensile: compressive, and shear stresses at point A, which is located on the surface of the upper shaft at the zo axis. (b) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the yo axis.arrow_forwardCompute the torque that would produce a torsional shear stress of 50 MPa in a square steel rod 20 mm on a side, 4-80. For the rod described in Problem 4-80, compute the angle of twist that would be produced by the torque found in the problem over a length of 1.80m. 4-81.arrow_forwardThe shaft AB made of steel has an outside diameter of 165 mm and a wall thickness of 9.5 mm. The shaft is subjected to an axial compression load of P = 156 kN and a torque T = 12 kN.m, which act in the directions shown in the Figure. The yield strength of the steel is Y = 248 MPa and a minimum factor of safety = 2.0 is required by specification. Consider the point K and determine whether the shaft satisfies the specifications according to the maximum-distortion-energy theory.arrow_forward
- 4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 -10 -250 32 B 6.8 KN 75 -38 100- с 125 10 35 D 30arrow_forwardConsider the compound shaft KC which is composed of a 1200mm long solid rod fitted snuggly into an equally long pipe. Refer to the figure for given dimensions and material properties. If end K is fixed to a rigid wall and a concentrated torque is applied at end C, determine the following: Pipe E 115 GPa G = 36.0 GPa 48.0 MPa Ty 1200 mm ø180mm Rod E = 220 GPa G 85.0 GPa 80.0 MPa 1. The required outer diameter for the pipe such that the rod and the pipe yields simultaneously. 2. The corresponding maximum angle of twist of the shaft when it yields. 3. The corresponding maximum torque T that can be applied at end C of the shaftarrow_forwardThe end gear (closest to the journal bearing at A) is subjected to the loading shown in the figure. The journal bearings A and B exert on the shaft only the y and z components of the 100 mm 250 mm 50 mm support reactions. Dětermine the equilibrium torque T at gear C. Using the "Maximum 75 mm 150 mm Distortion Energy Theory" with Jallowable the together 80 MPa, smallest calculate possible diameter of the shaft millimeter that will support the loading. to the nearest 100 mm F.= 15 kNarrow_forward
- Consider the compound shaft KC which is composed of a 1200mm long solid rod fitted snuggly into an equally long pipe. Refer to the figure for given dimensions and material properties. If end K is fixed to a rigid wall and a concentrated torque is applied at end C, determine the following: Pipe E = 115 GPa G - 36.0 GPa 1, = 48.0 MPa 1200 mm 180mm Rod E = 220 GPa G = 85.0 GPa *, 80.0 MPa 1. The required outer diameter for the pipe such that the rod and the pipe yields simultaneously. 2. The corresponding maximum angle of twist of the shaft when it yields. 3. The corresponding maximum torque T that can be applied at end C of the shaftarrow_forwardRefer to the figure below (from Example 5-3 on pp.259-260 in the textbook). In addition to the load at point D, if another load Q (Q=100F) along x direction acts at the right end of the 18-in bar, solve for the maximum load F with a safety factor of 2.0 using distortion energy theory. Find all the stress components at the origin point O. Assume the yield strength of the steel is 42 kpsi with v=0.3. 2 in 12 in 글-in D. -in R. B 2 in 1-in D. 15 in 1-in D.arrow_forwardThe figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and is loaded by two torques. Use Gpronze = 35 GPa, Galum = 28 GPa, and Gsteel = 83 GPa. Bronze Aluminum Steel diameter = 25 mm diameter = 50 mm diameter = 25 mm T-300 N.m- K To-700 N.m K D B 2 m - 2 m - 2.5 m Determine the angle of twist developed in steel from support B. Select the correct response: O 0.005 rad 0.516 rad 0413 rad 0.511 rad 日E周 TETETarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license