New Semester Started Get 50% OFF Study Help! --h --m --s Claim Now

Question Answers

Textbooks

Find textbooks, questions and answers

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
engineering
mechanical engineering

Shigleys Mechanical Engineering Design 9th edition Richard G. Budynas, J. Keith Nisbett - Solutions

A steel member has a Brinell of HB = 250. Estimate the ultimate strength of the steel in MPa.
Brinell hardness tests were made on a random sample of 10 steel parts during processing. The results were HB values of 252 (2), 260, 254, 257 (2), 249 (3), and 251. Estimate the mean and standard deviation of the ultimate strength in kpsi.
Repeat Prob. 2–15 assuming the material to be cast iron.
Toughness is a term that relates to both strength and ductility. The fracture toughness, for example, is defined as the total area under the stress-strain curve to fracture, . This area, called the modulus of toughness, is the strain energy per unit volume required to cause the material to
What is the material composition of AISI 4340 steel?
The symbol W is used in the various figure parts to specify the weight of an element. If not given, assume the parts are weightless. For each figure part, sketch a free-body diagram of each element, including the frame. Try to get the forces in the proper directions, but do not compute magnitudes.
Using the figure part selected by your instructor, sketch a free-body diagram of each element in the figure. Compute the magnitude and direction of each force using an algebraic or vector method, as specified.
Find the reactions at the supports and plot the shear-force and bending-moment diagrams for each of the beams shown in the figure on page 123. Label the diagrams properly.
Repeat Prob. 3-3 using singularity functions exclusively (for reactions as well).
A beam carrying a uniform load is simply supported with the supports set back a distance a from the ends as shown in the figure. The bending moment at x can be found from summing moments to zero at section x: Or Where w is the loading intensity in lbf/in. The designer wishes to minimize the
An artist wishes to construct a mobile using pendants, string, and span wire with eyelets as shown in the figure.(a) At what positions w, x, y, and z should the suspension strings be attached to the span wires? (b) Is the mobile stable? If so, justify; if not, suggest a remedy.
For each of the plane stress states listed below, draw a Mohr’s circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the x axis to σ1. Draw stress elements as in Fig. 3–11c and d and label all details. (a) σx = 12, σy = 6,
Repeat Prob. 3–8 for: (a) σx = −4, σy = 12, τx y = 7 ccw (b) σx = 6, σy = −5, τx y = 8 ccw (c) σx = −8, σy = 7, τx y = 6 cw (d) σx = 9, σy = −6, τx y = 3 cw
Repeat Prob. 3–8 for: (a) σx = 20, σy = −10, τx y = 8 cw (b) σx = 30, σy = −10, τx y = 10 ccw (c) σx = −10, σy = 18, τx y = 9 cw (d) σx = −12, σy = 22, τx y = 12 cw
For each of the stress states listed below, find all three principal normal and shear stresses. Draw a complete Mohr’s three-circle diagram and label all points of interest. (a) σx = 10, σy = −4 (b) σx = 10, τx y = 4 ccw (c) σx = −2, σy = −8,
Repeat Prob. 3–11 for: (a) σx = −80, σy = −30, τx y = 20 cw (b) σx = 30, σy = −60, τx y = 30 cw (c) σx = 40, σz = −30, τx y = 20 ccw (d ) σx = 50, σz = −20, τx y = 30 cw
A ½ -in-diameter steel tension rod is 72 in long and carries a load of 2000 lbf. Find the tensile stress, the total deformation, the unit strains, and the change in the rod diameter.
Twin diagonal aluminum alloy tension rods 15 mm in diameter are used in a rectangular frame to prevent collapse. The rods can safely support a tensile stress of 135 MPa. If the rods are initially 3 m in length, how much must they be stretched to develop this stress?
Electrical strain gauges were applied to a notched specimen to determine the stresses in the notch. The results were ǫx = 0.0021 and ǫy = −0.00067. Find σx and σy if the material is carbon steel.
An engineer wishes to determine the shearing strength of a certain epoxy cement. The problem is to devise a test specimen such that the joint is subject to pure shear. The joint shown in the figure, in which two bars are offset at an angle θ so as to keep the loading force F centroidal with
The state of stress at a point is σx = −2, σy = 6, σz = −4, τx y = 3, τyz = 2, and τz x = −5 kpsi. Determine the principal stresses, draw a complete Mohr’s three-circle diagram, labeling all points of interest, and report the maximum shear stress
Repeat Prob. 3–17 with σx = 10, σy = 0, σz = 10, τx y = 20, τyz = −10√2, and τz x = 0 MPa.
Repeat Prob. 3–17 with σx = 1, σy = 4, σz = 4, τx y = 2, τyz = −4, and τz x = −2 kpsi.
The Roman method for addressing uncertainty in design was to build a copy of a design that was satisfactory and had proven durable. Although the early Romans did not have the intellectual tools to deal with scaling size up or down, you do. Consider a simply supported, rectangular-cross-section beam
Using our experience with concentrated loading on a simple beam, Prob. 3–20, consider a uniformly loaded simple beam (Table A–9–7). (a) Show that the stress-to-load equation for a rectangular-cross-section beam is given by W = 4/3 σbh2/l Where W = wl (b) Subscript every parameter
The Chicago North Shore & Milwaukee Railroad was an electric railway running between the cities in its corporate title. It had passenger cars as shown in the figure, which weighed 104.4 kip, had 32-ft, 8-in truck centers, 7-ft-wheelbase trucks, and a coupled length of 55 ft, 3 ¼ in. Consider the
For each section illustrated, find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Suppose a positive bending moment of 10 kip • in is applied; find the resulting stresses at the top and bottom surfaces and at
From basic mechanics of materials, in the derivation of the bending stresses, it is found that the radius of curvature of the neutral axis, ρ, is given by ρ = E I/M. Find the x and y coordinates of the center of curvature corresponding to the place where the beam is bent the most, for
For each beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress and the maximum shear stress due to V.
The figure illustrates a number of beam sections. Use an allowable bending stress of 1.2 kpsi for wood and 12 kpsi for steel and find the maximum safe uniformly distributed load that each beam can carry if the given lengths are between simple supports. (a) Wood joist 1 ½ by 9 ½ in and 12 ft long
A pin in a knuckle joint carrying a tensile load F deflects somewhat on account of this loading, making the distribution of reaction and load as shown in part b of the figure. The usual designer’s assumption of loading is shown in part c; others sometimes choose the loading shown in part d. If a
The figure illustrates a pin tightly fitted into a hole of a substantial member. A usual analysis is one that assumes concentrated reactions R and M at distance l from F. Suppose the reaction is distributed linearly along distance a. Is the resulting moment reaction larger or smaller than the
For the beam shown, determine (a) the maximum tensile and compressive bending stresses, (b) The maximum shear stress due to V, and (c) the maximum shear stress in the beam.
Consider a simply supported beam of rectangular cross section of constant width b and variable depth h, so proportioned that the maximum stress σx at the outer surface due to bending is constant, when subjected to a load F at a distance a from the left support and a distance c from the right
In Prob. 3-30, h →0 as x →0, which cannot occur. If the maximum shear stress τmax due to direct shear is to be constant in this region, show that the depth h at location x is given by
Consider a simply supported static beam of circular cross section of diameter d, so proportioned by varying the diameter such that the maximum stress σx at the surface due to bending is constant, when subjected to a steady load F located at a distance a from the left support and a distance b
Two steel thin-wall tubes in torsion of equal length are to be compared. The first is of square cross section, side length b, and wall thickness t. The second is a round of diameter b and wall thickness t. The largest allowable shear stress is τall and is to be the same in both cases. How does
Begin with a 1-in-square thin-wall steel tube, wall thickness t = 0.05 in, length 40 in, then introduce corner radii of inside radii ri, with allowable shear stress τall of 11 500 psi, shear modulus of 11.5(106) psi; now form a table. Use a column of inside corner radii in the range 0 ≤ ri
An unequal leg angle shown in the figure carries a torque T. Show that
In Prob. 3–35 the angle has one leg thickness 1/16 in and the other 1/8 in, with both leg lengths 58 in. The allowable shear stress is τall = 12 000 psi for this steel angle. (a) Find the torque carried by each leg, and the largest shear stress therein. (b) Find the angle of twist per unit
Two 12 in long thin rectangular steel strips are placed together as shown. Using a maximum allowable shear stress of 12 000 psi, determine the maximum torque and angular twist, and the torsional spring rate. Compare these with a single strip of cross section 1 in by 1/8 in.
Using a maximum allowable shear stress of 60 MPa, find the shaft diameter needed to transmit35 kw when (a) The shaft speed is 2000 rev/min. (b) The shaft speed is 200 rev/min
A 15-mm-diameter steel bar is to be used as a torsion spring. If the torsional stress in the bar is not to exceed 110 MPa when one end is twisted through an angle of 30°, what must be the length of the bar?
A 3-in-diameter solid steel shaft, used as a torque transmitter, is replaced with a 3-in hollow shaft having a ¼ -in wall thickness. If both materials have the same strength, what is the percentage reduction in torque transmission? What is the percentage reduction in shaft weight?
A hollow steel shaft is to transmit 5400 N .m of torque and is to be sized so that the torsional stress does not exceed 150 MPa. (a) If the inside diameter is three-fourths of the outside diameter, what size shaft should be used? Use preferred sizes. (b) What is the stress on the inside of the
The figure shows an endless-belt conveyor drive roll. The roll has a diameter of 6 in and is driven at 5 rev/min by a geared-motor source rated at 1 hp. Determine a suitable shaft diameter dC for an allowable torsional stress of 14 kpsi.(a) What would be the stress in the shaft you have sized if
The conveyer drive roll in the figure for Prob. 3–42 is 150 mm in diameter and is driven at 8 rev/min by a geared-motor source rated at 1 kW. Find a suitable shaft diameter dC based on an allowable torsional stress of 75 MPa.
For the same cross-sectional area A = s2 = πd2/4, for a square cross-sectional area shaft and a circular cross-sectional area shaft, in torsion which has the higher maximum shear stress, and by what multiple is it higher?
For the same cross-sectional area A = s2 = πd2/4, for a square cross-sectional area shaft and a circular cross-sectional area shaft, both of length l, in torsion which has the greater angular twist θ, and by what multiple is it greater?
In the figure, shaft AB is rotating at 1000 rev/min and transmits 10 hp to shaft CD through a set of bevel gears contacting at point E. The contact force at E on the gear of shaft CD is determined to be (FE) CD = -92.8i - 362.8j + 808.0k lbf. For shaft CD:(a) draw a free-body diagram and determine
Repeat the analysis of Prob. 3–46 for shaft AB. Let the diameter of the shaft be 1.0 in, and assume that bearing A is a thrust bearing.
A torque of T = 1000 lbf ?in is applied to the shaft EFG, which is running at constant speed and contains gear F. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket at B, transmitting a force P as shown. Sprocket B, gear C, and gear F have pitch diameters of 6,
If the tension-loaded plate of Fig. 3-29 is infinitely wide, then the stress state anywhere in the plate can be described in polar coordinates as For the radial, tangential, and shear components, respectively. Here r is the distance from the center to the point of interest and θ is measured
Considering the stress concentration at point A in the figure, determine the maximum normal and shear stresses at A if F = 200 lbf.
Develop the formulas for the maximum radial and tangential stresses in a thick-walled cylinder due to internal pressure only.
Repeat Prob. 3–51 where the cylinder is subject to external pressure only. At what radii do the maximum stresses occur?
Develop the stress relations for a thin-walled spherical pressure vessel.
A pressure cylinder has a diameter of 150 mm and has a 6-mm wall thickness. What pressure can this vessel carry if the maximum shear stress is not to exceed 25 Mpa?
A cylindrical pressure vessel has an outside diameter of 10 in and a wall thickness of 3/8 in. If the internal pressure is 350 psi, what is the maximum shear stress in the vessel walls?
An AISI 1020 cold-drawn steel tube has an ID of 1 ¼ in and an OD of 1 ¾ in. What maximum external pressure can this tube take if the largest principal normal stress is not to exceed 80 percent of the minimum yield strength of the material?
An AISI 1020 cold-drawn steel tube has an ID of 40 mm and an OD of 50 mm. What maximum internal pressure can this tube take if the largest principal normal stress is not to exceed 80 percent of the minimum yield strength of the material?
Find the maximum shear stress in a 10-in circular saw if it runs idle at 7200 rev/min. The saw is 14 gauge (0.0747 in) and is used on a ¾ -in arbor. The thickness is uniform. What is the maximum radial component of stress?
The maximum recommended speed for a 300-mm-diameter abrasive grinding wheel is 2069 rev/min. Assume that the material is isotropic; use a bore of 25 mm, ν = 0.24, and a mass density of 3320 kg/m3; and find the maximum tensile stress at this speed.
An abrasive cutoff wheel has a diameter of 6 in, is 1/16 in thick, and has a 1-in bore. It weighs 6 oz and is designed to run at 10 000 rev/min. If the material is isotropic and ν = 0.20, find the maximum shear stress at the design speed.
A rotary lawn-mower blade rotates at 3000 rev/min. The steel blade has a uniform cross section 1/8 in thick by 1 ¼ in wide, and has a ½ -in-diameter hole in the center as shown in the figure. Estimate the nominal tensile stress at the central section due to rotation.
The table lists the maximum and minimum hole and shaft dimensions for a variety of standard press and shrink fits. The materials are both hot-rolled steel. Find the maximum and minimum values of the radial interference and the corresponding interface pressure. Use a collar diameter of 80 mm for the
The table gives data concerning the shrink fit of two cylinders of differing materials and dimensional specification in inches. Elastic constants for different materials may be found in Table A€“5. Identify the radial interference δ, then find the interference pressure p, and the
Force fits of a shaft and gear are assembled in an air-operated arbor press. An estimate of assembly force and torque capacity of the fit is needed. Assume the coefficient of friction is f, the fit interface pressure is p, the nominal shaft or hole radius is R, and the axial length of the gear bore
A utility hook was formed from a 1-in-diameter round rod into the geometry shown in the figure. What are the stresses at the inner and outer surfaces at section A-A if the load F is 1000 lbf?
The steel eyebolt shown in the figure is loaded with a force F of 100 lbf. The bolt is formed of ¼ -in-diameter wire to a 3/8 -in radius in the eye and at the shank. Estimate the stresses at the inner and outer surfaces at sections A-A and B-B.
Shown in the figure is a 12-gauge (0.1094-in) by ¾ -in latching spring that supports a load of F = 3 lbf. The inside radius of the bend is 1/8 in. Estimate the stresses at the inner and outer surfaces at the critical section.
The cast-iron bell-crank lever depicted in the figure is acted upon by forces F1 of 250 lbf and F2 of 333 lbf. The section A-A at the central pivot has a curved inner surface with a radius of ri = 1 in. Estimate the stresses at the inner and outer surfaces of the curved portion of the lever.
The crane hook depicted in Fig. 3–35 has a 1-in-diameter hole in the center of the critical section. For a load of 5 kip, estimate the bending stresses at the inner and outer surfaces at the critical section.
A 20-kip load is carried by the crane hook shown in the figure. The cross section of the hook uses two concave flanks. The width of the cross section is given by b = 2/r, where r is the radius from the center. The inside radius ri is 2 in, and the outside radius ro = 6 in. Find the stresses at the
An offset tensile link is shaped to clear an obstruction with a geometry as shown in the figure. The cross section at the critical location is elliptical, with a major axis of 4 in and a minor axis of 2 in. For a load of 20 kip, estimate the stresses at the inner and outer surfaces of the critical
A cast-steel C frame as shown in the figure has a rectangular cross section of 1 in by 1.6 in, with a 0.4-in-radius semicircular notch on both sides that forms midflank fluting as shown. Estimate A, rc , rn , and e, and for a load of 3000 lbf, estimate the inner and outer surface stresses at the
Two carbon steel balls, each 25 mm in diameter, are pressed together by a force F. In terms of the force F, find the maximum values of the principal stress, and the maximum shear stress, in MPa.
One of the balls in Prob. 3–81 is replaced by a flat carbon steel plate. If F = 18 N, at what depth does the maximum shear stress occur?
An aluminum alloy roller with diameter 1 in and length 2 in rolls on the inside of a cast-iron ring having an inside radius of 4 in, which is 2 in thick. Find the maximum contact force F that can be used if the shear stress is not to exceed 4000 psi.
Simplify Eqs. (3–70), (3–71), and (3–72) by setting z = 0 and finding σx /pmax , σy/pmax , σz/pmax , and τ2/3/pmax and, for cast iron, check the ordinate intercepts of the four loci in Fig. 3–37.
A 6-in-diameter cast-iron wheel, 2 in wide, rolls on a flat steel surface carrying an 800-lbf load. (a) Find the Hertzian stresses σx, σy, σz, and τ2/3. (b) What happens to the stresses at a point A that is 0.010 in below the wheel rim surface during a revolution?
Structures can often be considered to be composed of a combination of tension and torsion members and beams. Each of these members can be analyzed separately to determine its force-deflection relationship and its spring rate. It is possible, then, to obtain the deflection of a structure by
The figure shows a torsion bar OA fixed at O, simply supported at A, and connected to a cantilever AB. The spring rate of the torsion bar is kT , in newton-meters per radian, and that of the cantilever is kC , in newtons per meter. What is the overall spring rate based on the deflection y at point
A torsion-bar spring consists of a prismatic bar, usually of round cross section, that is twisted at one end and held fast at the other to form a stiff spring. An engineer needs a stiffer one than usual and so considers building in both ends and applying the torque somewhere in the central portion
An engineer is forced by geometric considerations to apply the torque on the spring of Prob. 4–3 at the location x = 0.2l. For a uniform-diameter spring, this would cause the long leg of the span to be underutilized when both legs have the same diameter. If the diameter of the long leg is reduced
A bar in tension has a circular cross section and includes a conical portion of length l , as Shown, the task is to find the spring rate of the entire bar. Equation (4–4) is useful for the outer portions of diameters d1 and d2, but a new relation must be derived for the tapered section. If
When a hoisting cable is long, the weight of the cable itself contributes to the elongation. If a cable has a weight per unit length of w, a length of l , and a load P attached to the free end, show that the cable elongation is δ = Pl/AE + wl2/2AE
Use integration to verify the deflection equation given for the uniformly loaded cantilever beam of appendix Table A–9–3.
Use integration to verify the deflection equation given for the end moment loaded cantilever beam of appendix Table A–9–4.
When an initially straight beam sags under transverse loading, the ends contract because the neutral surface of zero strain neither extends nor contracts. The length of the deflected neutral surface is the same as the original beam length l. Consider a segment of the initially straight beam
Using the results of Prob. 4–9, determine the end contraction of the uniformly loaded cantilever beam of appendix Table A–9–3.
Using the results of Prob. 4–9, determine the end contraction of the uniformly loaded simply supported beam of appendix Table A–9–7. Assume the left support cannot deflect in the x direction, whereas the right support can.
The figure shows a cantilever consisting of steel angles size 4 X 4 X ½ in mounted back to back, Using superposition, find the deflection at B and the maximum stress in the beam.
A simply supported beam loaded by two forces is shown in the figure. Select a pair of structural steel channels mounted back to back to support the loads in such a way that the deflection at midspan will not exceed 1/16 in and the maximum stress will not exceed 6 kpsi. Use superposition.
Using superposition, find the deflection of the steel shaft at A in the figure. Find the deflection at midspan. By what percentage do these two values differ?
A rectangular steel bar supports the two overhanging loads shown in the figure. Using superposition, find the deflection at the ends and at the center.
Using the formulas in Appendix Table A–9 and superposition, find the deflection of the cantilever at B if I = 13 in4 and E = 30 Mpsi.
The cantilever shown in the figure consists of two structural-steel channels size 3 in, 5.0 lbf/ft. Using superposition, find the deflection at A.
Using superposition, determine the maximum deflection of the beam shown in the figure. The material is carbon steel.
Illustrated is a rectangular steel bar with simple supports at the ends and loaded by a force F at the middle; the bar is to act as a spring. The ratio of the width to the thickness is to be aboutb = 16h, and the desired spring scale is 2400 lbf/in. (a) Find a set of cross-section dimensions,

Showing 300 - 400 of 18200

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved