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Chapter: 5 -Problem: 71 >> 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. Determine the static factor of safety using a. The maximum-shear-stress theory.b. The distortion-energy theory.
Answer Preview: We can use the following steps to determine the static factor of safety using the maximum-shear-stre…

, Chapter: 5 -Problem: 39 >> 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 torque. Determine the static factor of safety based on(a). The maximum-shear-stress failure theory.(b). The distortion-energy failure theory.
Answer Preview: To solve the problem, we need to calculate the maximum shear stress and the distortion energy in the shaft, and then use the appropriate failure theor…

, Chapter: 5 -Problem: 43 >> 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 using Data in Problem 3-54.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.
Answer Preview: As the problem refers to Problem 3-54, we need to refer to the same diagram and the same dimensions. …

, Chapter: 12 -Problem: 18 >> 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 12–17Design a central annular-groove pressure-fed bearing with an l?/d ratio of 0.5, using SAE grade 20 oil, the lubricant supplied at 30 psig. The exterior oil cooler can maintain the sump temperature at 120°F for he
Answer Preview: To repeat design Problem 12-17 using the nominal bushing bore B as one decision variable and the radial clearance c as the other, we will use the foll…

, Chapter: 19 -Problem: 4 >> 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. Transcribed Image Text: K? 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
Answer Preview: Given W = 2 in d = 0 3 in t = 1/8 in w/…

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, Chapter: 14 -Problem: 27 >> 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 case hardness is 390 Brinell, and the gear core hardness is 250 core and 390 case. Estimate the power rating for the new gearset. Data in Problem 14-25A speed-reducer has 20° full-depth teeth, and the
Answer Preview: To estimate the power rating for the new gearset with improved wear capacity, we need to calculate t…

, Chapter: 8 -Problem: 85 >> 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 lbf force, the bolts were torqued down so that a preload of 5000 lbf tension was developed in each bolt. Determine the maximum tensile stress that develops upon the application of the 1000 lbf force.
Answer Preview: To solve this problem, we use the concept of bolted joints and calcula…

, Chapter: 7 -Problem: 5 >> 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 considered simply supported at points O and C, and is made of AISI 1045 CD steel with a fully corrected endurance limit of Se = 40 kpsi. Let Kf = 2.1 and Kfs = 1.7. For a design factor of 2.5 determine the mi
Answer Preview: To determine the minimal acceptable diameter of section BC of the rotating step shaft under the given loading conditions and design factor, we need to …

, Chapter: 13 -Problem: 60 >> Write a computer program that will analyze a spur gear or helical-mesh gear, accepting ?n , ?, Pt , NP, and NG; compute mG, dP, dG, pt , pn , px , and ?t ; and give advice as to the smallest tooth count that will allow a pinion to run with itself without interference, run with its gear, and run with a rack. Also have it give the largest tooth count possible with the intended pinion.
Answer Preview: Define the input variables: n (pressure angle), (helix angle for helical gears), Pt (transverse diam…

, Chapter: 5 -Problem: 40 >> 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. Determine how much power, in units of kW, the shaft can transmit with a static factor of safety of 1.5 based on (a). The maximum-shear-stress theory.(b). Distortion-energy theory.
Answer Preview: We can use the following formulas to determine the power that the shaft can transmit based on the maximum-shear-stress theory and the distortion-energ…

, Chapter: 13 -Problem: 54 >> 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 motor delivers 25 hp to shaft a at a speed of 1720 rev/min clockwise about the x axis. Gear 3 has 42 teeth. Find the reaction exerted by bearings C and D on shaft b. One of these bearings is to take both ra
Answer Preview: Since this question refers to Problem 13-35 and 13-34, I will provide both problems and their solutions before addressing the new question regarding t…

, Chapter: 12 -Problem: 20 >> 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 pressure-fed bearing with an l?/d ratio of 0.5, using SAE grade 20 oil, the lubricant supplied at 30 psig. The exterior oil cooler can maintain the sump temperature at 120°F for heat dissipation rates up to 1500 Btu/h. The lo
Answer Preview: Given data: l/d ratio = 0 5 SAE grade 20 oil, supplied at 30 psig Exterior oil cooler maintains the sump temperature at 120F for heat dissipation rate…

, Chapter: 5 -Problem: 77 >> 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 5-76, find the new shaft diameter. Data in Problem 5-76The figure shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent t
Answer Preview: As per the given problem statement, we are given the following information from Problem 5-76: The ma…

, Chapter: 5 -Problem: 42 >> 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 using Data in Problem 3-53The 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 failure in section AB by providing the following i
Answer Preview: Since we have been provided with the necessary data from Problem 3-53, we can proceed with determini…

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, Chapter: 3 -Problem: 114 >> 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 can this tube withstand if the largest principal normal stress is not to exceed 80 percent of the minimum yield strength of the material?
Answer Preview: To solve this problem, we will use the formula for hoop stress: Hoop stre…

, Chapter: 3 -Problem: 90 >> 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 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 ge
Answer Preview: Given data: Torque, T = 900 lbf-in a = 6 in b = 5 in c = 10 in d = 1 375 in e = 4 in f = 10 in g = 6 in We can follow the same steps as in Problem 3-8…

, Chapter: 2 -Problem: 28 >> 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 with a transverse force at its tip. The following materials are being considered: tungsten carbide, high-carbon heat-treated steel, polycarbonate polymer, and aluminum alloy. Using the Ashby charts, recomm
Answer Preview: To recommend the best material for a design situation in which failure is by excessive deflection an…

, Chapter: 5 -Problem: 44 >> 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 with 300 lbf in the negative y direction, at point C with 200 lbf in the negative z direction, and at point D with a force with components of 60 lbf in the positive x direction and 75 lbf in the positive y di
Answer Preview: To determine the factor of safety for the shaft AB, we need to calculate the maximum stress in the shaft due to the applied loads and compare it to th…

, Chapter: 12 -Problem: 22 >> 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 ?t, Fy = 3000 sin ?t, where ? = 200 rad/s is the steady journal angular velocity. Data in Problem 12–21Consider a journal bearing of length 25 mm, diameter 50 mm, and radial clearance 25 µm. The dynamic viscosity of the lubricant is 7 mPa × s. In the
Answer Preview: (a) Using Euler integration with a time step of 0 5, we can calculate the journal orbit in the clear…

, Chapter: 16 -Problem: 31 >> 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 16–29 needs a flywheel for service on the crankshaft of the punch-press. Design a satisfactory flywheel to the extent of specifying material, rim inside and outside diameters, and width. Note ?max , ?min , Cs ,
Answer Preview: As an AI language model, I do not have access to the designs resulting from the tasks assigned in Pr…

, Chapter: 3 -Problem: 149 >> 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 for the aluminum ball. Assume Figure 3–38, which is based on a typical Poisson's ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress occurs for these materials. 
Answer Preview: To determine the maximum shear stress and the depth at which it will occur for the aluminum ball, we …

, Chapter: 5 -Problem: 70 >> 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 pressure for a static factor of safety of 2 for the tube walls a. Based on the maximum-shear-stress theory.b. Based on the distortion-energy theory.
Answer Preview: To determine the maximum allowable internal pressure for a static factor of safety of 2, we need to calculate the maximum stress in the tube walls usi…

, Chapter: 3 -Problem: 96 >> 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 and Fx = Fz = 0. Analyze the stress situation in the small diameter at the shoulder at A by obtaining the following information.
Answer Preview: We can repeat Problem 3-95 with Fx = 300 lbf, Fy = 250 lbf, and Fz = 0 as follows: Given data: Fx = …

, Chapter: 3 -Problem: 54 >> 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 in Problem 3–53,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
Answer Preview: To solve this problem, we need to calculate the stress and compare it to the yield strength of the m…

, Chapter: 7 -Problem: 39 >> 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 in the figure is proposed for the application defined in Problem 3- 83. The material is AISI 1018 cold-drawn steel. The gears seat against the shoulders, and have hubs with setscrews to lock them in place. Th
Answer Preview: Given data Factor of safety of 1 1 from the problem 3-83 Torque transmitted through the k…

, Chapter: 10 -Problem: 29 >> 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 workpiece 37.5 mm thick at the clamp locations is being designed. The detail of one of the clamps is shown in the figure. A spring is required to drive the clamp upward when removing the workpiece with a starting
Answer Preview: To solve Problem 10-28, we need to design a helical coil compression spring that meets the given specifications. The design process involves iteratively calculating the required wire diameter, number …

, Chapter: 2 -Problem: 29 >> For an axially loaded rod, prove that ß = 1 for the EB/p guidelines in Figure 2-24. Data in Figure 2-24. Transcribed Image Text: Young's modulus E, GPa 1000- 100 10 10-1 10-2 10-3. 104. Figure 2-24 Longitudinal wave speed 10 10³ 0.01 m/s Foams m/s Rigid polymer foams 10² m/s 0.1 Natural materials Te
Answer Preview: Step: 1 For stiffness, k = AE/I A= kl/E For mass, m = Al …

, Chapter: 8 -Problem: 84 >> 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 to the flat side of a 6-in, 13.0-lbf/in channel used as a column. The cantilever is to carry a load as shown in the figure. To a designer the choice of a bolt array is usually an a priori decision. Such dec
Answer Preview: To specify an optimal bolt pattern for three bolts for the bracket, we need to consider the load bei…

, Chapter: 16 -Problem: 16 >> 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 pressure and the torque capacity using the uniform-wear model. b. Find the maximum pressure and the torque capacity using the uniform-pressure model.
Answer Preview: a) Using the uniform-wear model, the maximum pressure can be calculated as follows: …

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, Chapter: 13 -Problem: 44 >> 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 receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force
Answer Preview: Based on the given information, we can use the following steps to calculate the gear ratios and the …

, Chapter: 5 -Problem: 37 >> 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 Transcribed Image Text: 1800 lbf A B Problem 3-45 300 lbf/in 10 in 30 in- 3 in 1 in I in 4+ 3 in Cross se
Answer Preview: Problem 3-45 shows a cantilever beam subjected to a uniformly distributed load. To determine the minimum yield strength that should be considered to o…

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14 Reviews for Shigleys Mechanical Engineering Design Textbook Questions And Answers