Questions and Answers of Shigleys Mechanical Engineering Design

A rotating step shaft is loaded as shown, where the forces FA and FB are constant at 600 lbf and 300 lbf, respectively, and the torque T alternates from 0 to 1800 lbf · in. The shaft is to be
The shaft shown in Problem 7–24 is proposed for the application defined in Problem 3-83. Specify a square key for gear B, using a factor of safety of 1.1. Data in Problem 7–24The shaft shown
Using your experience with Problem 8-82, specify an optimal bolt pattern for three bolts for the bracket in Problem 8-82 and size the bolts. Data in Problem 8-82,A cantilever is to be attached
Solve Problem 10-38 using the Goodman-Zimmerli fatigue-failure criterion. Data in Problem 10-38Design the spring of Example 10-5 using the Gerber-Zimmerli fatigue-failure criterion. EXAMPLE
Prove the bending properties for weld section 4 of Table 9-2. Data in Table 9-2. Table 9-2 Weld 1. 2. 3. 4. 5. 6. G Al d + X A 101 b y -b X G G d G →→ Kb b G d G d Throat Area A = 0.707hd A
Solve Problem 10-28 by iterating with an initial value of C = 8. If you have already solved Problem 10-28, compare the steps and the results. Data in Problem 10-28A holding fixture for a
A gusset plate is welded to a base plate as shown. The base plate is secured to the foundation by four bolts, each with an effective cross-sectional area of 0.2 in 2 . Before application of the 1000
For Problem 12–17 a satisfactory design is Double the size of the bearing dimensions and quadruple the load to 3600 lbf. Data in Problem 12–17Design a central annular-groove
Repeat design Problem 12–17 using the nominal bushing bore B as one decision variable and the radial clearance c as the other. Again, Trumpler’s criteria to be used. Data in Problem
With the same bearing dimensional specifications and fluid viscosity used in Problem 12–21, the load now rotates with the journal; i.e. Fx = 3000 cos ωt, Fy = 3000 sin ωt, where ω = 200 rad/s is
For the countershaft in Problem 3-83 assume the gear ratio from gear B to its mating gear is 2 to 1.Data in Problem 3-83A gear reduction unit uses the countershaft shown in the figure. Gear A
In the figure for Problem 13-35, pinion 2 is to be a right-hand helical gear having a helix angle of 30°, a normal pressure angle of 20°, 16 teeth, and a normal diametral pitch of 6 teeth/in. A
Write a computer program that will analyze a spur gear or helical-mesh gear, accepting ϕn , ψ, Pt , NP, and NG; compute mG, dP, dG, pt , pn , px , and ϕt ; and give advice as to the smallest
The gearset of Problem 14-25 needs improvement of wear capacity. Toward this end the gears are nitrided so that the grade 1 materials have hardnesses as follows:The pinion core is 250 and the pinion
For Figure A-15-1, let w = 2 in, d = 0.3 in, and estimate Kt . Use 1/4 symmetry and 1/8-in-thick 2-D elements. K₂ 3.0 2.8 2.6 2.4 2.2 2.0 0 Figure A-15-1 0.1 0.2 F 0.3 0.4 d/w d 0.5 0.6 0.7 0.8
A plate clutch has a single pair of mating friction surfaces 250-mm OD by 175-mm ID. The mean value of the coefficient of friction is 0.30, and the actuating force is 4 kN. a. Find the maximum
Compare the designs resulting from the tasks assigned in Problems 16–29 and 16–30. What have you learned? What recommendations do you have? Data in Problems 16–30The punch-press of Problem
For an axially loaded rod, prove that ß = 1 for the EB/p guidelines in Figure 2-24.Data in Figure 2-24. Young's modulus E, GPa 1000- 100 10 10-1 10-2 10-3. 104. Figure 2-24 Longitudinal wave
Repeat Problem 2–27, except that the design situation is failure by excessive deflection, and it is desired to minimize the weight.Data in Problem 2–27,Consider a cantilever beam that is loaded
Repeat Problem 3–53, except replace the 200 N force at E with a 200 N force in the positive x direction, and replace the 300 N force at C with a 300 N force in the positive y direction. Data
The part shown is loaded at point C with 300 N in the positive x direction and at point E with 200 N in the positive y direction. The diameter of the bar ABD is 12 mm. Evaluate the likelihood of
Repeat Problem 3-88 with T = 900 lbf in, a = 6 in, b = 5 in, c = 10 in, d = 1.375 in, e = 4 in, f = 10 in, and g = 6 in.Data in Problem 3-88A torque T = 100 N · m is applied to the shaft EFG, which
Repeat Problem 3-113 with an OD of 2 in and wall thickness of 0.25 in.Data in Problem 3-113An AISI 1040 cold-drawn steel tube has an OD = 50 mm and wall thickness 6 mm. What maximum external pressure
A carbon steel ball with 25-mm diameter is pressed together with an aluminum ball with a 40-mm diameter by a force of 10 N. Determine the maximum shear stress, and the depth at which it will occur
Repeat Problem 3-95 with Fx = 300 lbf, Fy = 250 lbf, and Fz = 0.Data in Problem 3-95The cantilevered bar in the figure is made from a ductile material and is statically loaded with Fy = 250 lbf
For the beam in Problem 3-45 determine the minimum yield strength that should be considered to obtain a minimum factor of safety of 2 based on the distortion-energy theory. Data in Problem 3-45
A 30-mm-diameter shaft, made of AISI 1018 HR steel, transmits 10 kW of power while rotating at 200 rev/min. Assume any bending moments present in the shaft to be negligibly small compared to the
A 20-mm-diameter steel shaft, made of AISI 1035 HR steel, transmits power while rotating at 400 rev/min. Assume any bending moments in the shaft to be relatively small compared to the torque.
The shaft ABD in Problem 3-53 is made from AISI 1040 CD steel. Based on failure at the wall at A, determine the factor of safety usingData in Problem 3-53The part shown is loaded at point C with 300
By modern standards, the shaft design of Problem 5-76 is poor because it is so long. Suppose it is redesigned by halving the length dimensions. Using the same material and design factor as in Problem
The shaft ABD in Problem 3-54 is made from AISI 1020 CD steel. Based on failure at the wall at A, determine the factor of safety usingData in Problem 3-54.Repeat Problem 3–53, except replace the
The shaft AB in Problem 3-55 is made from AISI 1035 CD steel. Based on failure at the wall at A, determine the factor of safety using. Data in Problem 3-55The part shown is loaded at point B
An AISI 1040 cold-drawn steel tube has an outside diameter of 50 mm and an inside diameter of 42 mm. The tube is 150 mm long and is capped at both ends. Determine the maximum allowable internal
An AISI 1040 cold-drawn steel tube has an outside diameter of 50 mm and an inside diameter of 42 mm. The tube is 150 mm long, and is capped on both ends. An internal pressure of 40 MPa is applied.
For a beam from Table A–9, as specified by your instructor, find general expressions for the loading, shear-force, bending-moment, and support reactions. Use the method specified by your instructor.
An AISI 4142 steel Q&T at 800°F exhibits Syt = 235 kpsi, Syc = 285 kpsi, and εf = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure
According to the envelope principle (Rule #1), the size tolerance applied to a feature of size controls the size and of the feature. (Select one.)i. Locationii. Orientationiii. Formiv. Runoutv. All
A part made from 1040 hot-rolled steel is to be heat treated to increase its strength to approximately 100 kpsi. What Brinell hardness number should be expected from the heat-treated part?
The drawing shown is of a mounting fixture to locate and orient a rod (not shown) through the large bore. The fixture will be bolted to a frame through the four bolt holes that are countersunk to
Answer the following questions regarding material condition modifiers.(a) What are the three material condition modifiers?(b) Which one is the default if nothing is specified?(c) Which one(s) can
Which geometric characteristics never reference datums? Why?
What is the name of the geometric characteristic that can be specified in a note to provide a default tolerance zone to control size, form, orientation, and location of all features that are not
What is the name of the geometric characteristic that effectively controls a combination of circularity and straightness of a cylinder?
A hole diameter is dimensioned 32+0.4-0.0. A position control is used to control the basic location of the hole. Specify the diameters allowed for the position tolerance zone if the hole is produced
The diameter of a cylindrical boss is dimensioned 25 ± 0.2. A position control is used to control the basic location of the boss. Specify the diameters allowed for the position tolerance zone if the
A shaft diameter is dimensioned 20 ± 0.2. According to the form control provided by the envelope principle (Rule #1), is the limiting envelope a perfect cylinder with diameter of 19.8, 20.2, or
A hole diameter is dimensioned 20 ± 0.2. According to the form control provided by the envelope principle (Rule #1), is the limiting envelope a perfect cylinder with diameter of 19.8, 20.2, or both?
If a hole diameter is dimensioned 20 ± 0.2, determine the diameter of the hole at MMC and at LMC.
If a shaft diameter is dimensioned 20 ± 0.2, determine the diameter of the shaft at MMC and at LMC.
Describe how a center axis is determined for a physical hole that is not perfectly formed.
For the part shown, answer the following questions with regard to the hole.(a) What are the maximum and minimum diameters allowed for the hole?(b) What is the effect of the position tolerance of 0.3
For the part shown, answer the following questions with regard to the cylindrical boss.(a) What are the maximum and minimum diameters allowed for the boss?(b) What is the effect of the position
For the part shown, the ideal position of the cylindrical boss is located with the basic dimensions of 100 and 50. These basic dimensions are measured from which of the following? (Select one.)i. The
For the part shown, clearly identify each of the following, with labels and sketches on the drawing.(a) Datum features A, B, and C.(b) Datums A, B, and C.(c) Datum reference frame based on datum
For the part shown, identify all of the features of size. C 150± 0.8- 70 + 0.1 50 + 0.1 50 200 ± 0.8 170 100 A Ø 30 ± 0.1 Ø0.3(M A BC В Ø 50 ± 0.3 수0 0.2M| A|B |C
How is a basic dimension toleranced? (Select one.)i. Basic dimensions receive the default tolerance specified in the title block.ii. Basic dimensions are not toleranced.iii. Basic dimensions receive
What are the three geometric characteristics that provide location control? Which of the three is most prominently used?
What are the three geometric characteristics that provide orientation control?
What are the four geometric characteristics that provide form control?
What are the four geometric attributes that must be considered to define the geometry of a feature of a part?
What is the term that refers to a feature which has a size that can be measured across two opposing points?
What underlying purpose is emphasized by the ASME Y14.5–2009 standard in the dimensioning and tolerancing of a part? (Select one.)i. The method of manufacturing.ii. The design intent.iii. The
In GD&T, which type of dimension should generally be directly toleranced with a plus/minus tolerance?
In the traditional coordinate dimensioning system, which of the following is true? (Select one.)i. Only “features of size” need to include a tolerance.ii. Only dimensions that are important need
Solve Prob. 4–88, using beam elements.Data from Prob. 4-88For the wire form shown, determine the deflection of point A in the y direction. Assume R/h > 10 and consider the effects of bending and
Solve Prob. 4–80, using beam elements. Model the problem two ways: (a) Model the entire wire form, using, 200 elements. (b) Model half the entire wire form, using 100 elements and
Solve Prob. 4–79, using beam elements. Use a one-half model with symmetry. At the plane of symmetry, constrain translation and rotation.Data from 4-79A steel piston ring has a mean diameter of 70
Solve Prob. 4–78, using solid elements. Use a one-half model with symmetry. Be very careful to constrain the plane of symmetry properly to assure symmetry without overconstraint.Data from 4-78For
Solve Prob. 4–63, using beam elements.Data from 4-63Using singularity functions, write the deflection equation for the steel beam shown. Since the beam is symmetric, write the equation for only
Solve Prob. 4–47, using beam elements. Pick a diameter, and solve for the slopes. Then, use Eq. 7–18, p. 373, to readjust the diameter. Use the new diameter to verify.Data from 4-47If the
Solve Prob. 4–12, using beam elements.The following problems are to be solved by FEA. It is recommended that you also solve the problems analytically, compare the two results, and explain any
Solve Ex. 4–13, modeling Fig. 4–14b with 2-D elements of 2-in thickness. Since this example uses symmetry, be careful to constrain the boundary conditions of the bottom horizontal surface
Solve Ex. 4–11, with F = 10 lbf, d = 1/8 in, a = 0.5 in, b = 1 in, c = 2 in, E = 30 Mpsi, and υ = 0.29, using beam elements.
Solve Prob. 3–132, using solid elements. Data from Prob 3-132A cast-steel C frame as shown in the figure has a rectangular cross section of 1.25 in by 2 in, with a 0.5-in-radius semicircular
Solve Prob. 3–122, using solid elements. Note: You may omit the top part of the eyebolt above the applied force.Data from Prob 3-122The steel eyebolt shown in the figure is loaded with a force F 5
For Fig. A–15–5, let D = 3 in, d = 2 in, r = 0.25 in, and estimate Kt. Use 1/2 symmetry and 1/8-in-thick 2-D elements. 3.0 Dld = 1.50 2.6 F F 1.10 2.2 K, 1.05 1.8 1.02 1.4 1.0 0.05 0.10 0.15 0.20
For Fig. A–15–3, let ω = 1.5 in, d = 1.0 in, r = 0.10 in, and estimate Kt. Use 1/4 symmetry and 1/8-in-thick 2-D elements. 3.0 wld = 3 F 2.6 1.5 2.2 1.2 K, 1.1 1.8 1.05 1.4 1.0 0.05 0.10 0.15
For Fig. A–15–1, let ω = 2 in, d = 0.3 in, and estimate Kt. Use 1/4 symmetry and 1/8-inthick 2-D elements. 3.0 d 2.8 F 2.6 K, 2.4 2.2 2.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 dhw
The steel tube with the cross section shown is transmitting a torsional moment of 100 N · m. The tube wall thickness is 2.5 mm, all radii are r = 6.25 mm, and the tube is 500 mm long. For steel, let
For Ex. 3–10, apply a torque of 23 730 lbf · in, and determine the maximum shear stress and angle of twist. Use 1/8-in-thick plate elements.
Solve Ex. 3–6.Data from Ex. 3–6For the beam shown, find the reactions at the supports and plot the shear-force and bendingmoment diagrams. Label the diagrams properly and provide values at all
For the case study problem, change the power requirement to 40 horsepower. Design the intermediate shaft, including complete specification of the gears, bearings, keys, retaining rings, and shaft.A
Perform a final analysis for the resulting design of the intermediate shaft of the case study problem presented in this chapter. Produce a final drawing with dimensions and tolerances for the shaft.
For the case study problem, design the output shaft, including complete specification of the gear, bearings, key, retaining rings, and shaft.
For the case study problem, use helical gears and design the intermediate shaft. Compare your results with the spur gear design presented in this chapter.
For the case study problem, design the input shaft, including complete specification of the gear, bearings, key, retaining rings, and shaft.
An interpolation equation was given by Raimondi and Boyd, and it is displayed as Eq. (12–16). This equation is a good candidate for a computer program. Write such a program for interactive use.
A journal bearing has a journal diameter of 3.250 in with a unilateral tolerance of -0.003 in. The bushing bore has a diameter of 3.256 in and a unilateral tolerance of 0.004 in. The bushing is 3 in
A full journal bearing has a journal diameter of 32 mm, with a unilateral tolerance of -0.012 mm. The bushing bore has a diameter of 32.05 mm and a unilateral tolerance of 0.032 mm. The bearing is 64
A full journal bearing has a journal diameter of 25 mm, with a unilateral tolerance of -0.03 mm. The bushing bore has a diameter of 25.03 mm and a unilateral tolerance of 0.04 mm. The l/d ratio is
Program the shear-lag solution for the shear-stress state into your computer using Eq. (9–7). Determine the maximum shear stress for each of the following scenarios:Provide plots of the actual
An aluminum bracket with a 1 2-in thick flange is to be clamped to a steel column with a 3/4-in wall thickness. A cap screw passes through a hole in the bracket flange, and threads into a tapped hole
Repeat Prob. 5–71 for maximum shrink-fit conditions.Two steel tubes have the specifications:These are shrink-fitted together. Find the nominal shrink-fit pressure and the von Mises stress in each
Two steel tubes have the specifications:These are shrink-fitted together. Find the nominal shrink-fit pressure and the von Mises stress in each body at the fit surface. Inner Tube Outer Tube ID 20 +
A tube has another tube shrunk over it. The specifications are:Both tubes are made of a plain carbon steel.(a) Find the nominal shrink-fit pressure and the von Mises stresses at the fit surface.(b)
A spherical pressure vessel is formed of 16-gauge (0.0625-in) cold-drawn AISI 1020 sheet steel. If the vessel has a diameter of 15 in, use the distortion-energy theory to estimate the pressure
A 1020 CD steel shaft is to transmit 20 hp while rotating at 1750 rpm. Determine the minimum diameter for the shaft to provide a minimum factor of safety of 3 based on the maximum-shear-stress theory.
Repeat Probs. 5–30 using the modified-Mohr theory.A cast aluminum 195-T6 exhibits Sut = 36 kpsi, Suc 5 35 kpsi, and εf = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr
Repeat Probs. 5–29 using the modified-Mohr theory.A cast aluminum 195-T6 exhibits Sut = 36 kpsi, Suc 5 35 kpsi, and εf = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr
Repeat Probs. 5–28 using the modified-Mohr theory.A cast aluminum 195-T6 exhibits Sut = 36 kpsi, Suc 5 35 kpsi, and εf = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr

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