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engineering
mechanical engineering

Questions and Answers of Mechanical Engineering

A part is loaded with a combination of bending, axial, and torsion such that the following stresses are created at a particular location:Bending: ..Completely reversed, with a maximum stress of 60
Repeat the requirements of Prob. 6–35 with the following loading conditions:Bending: ... Fluctuating stress from –40 MPa to 150 MPaAxial: ... NoneTorsion: .. Mean stress of 90 MPa, with an
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. The shaft rotates at a constant
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. If the life is not infinite,
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. If the life is not infinite,
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. If the life is not infinite,
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue based on infinite life. If the life is not infinite,
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue at point A, based on infinite life. If the life is not
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue at point A, based on infinite life. If the life is not
For the problem specified in the table, build upon the results of the original problem to determine the minimum factor of safety for fatigue at point A, based on infinite life. If the life is not
Solve Prob. 6â€“17 except include a steady torque of 2500 lbf Â· in being transmitted through the shaft between the points of application of the forces.In Prob. 6â€“17, The shaft shown in
Solve Prob. 6â€“18 except include a steady torque of 2200 lbf Â· in being transmitted through the shaft between the points of application of the forces.Prob. 6â€“18, Solve Prob.
In the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B.A theoretical
A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed Ï‰. An axial load is applied to the shaft and is cycled from zero to P. The torque T induced by the
For the clutch of Prob. 6â€“57, the external load P is cycled between 4.5 kips and 18 kips. Assuming that the shaft is rotating synchronous with the external load cycle, estimate the number of
A flat leaf spring has fluctuating stress of σmax = 360 MPa and σmin = 160 MPa applied for 8 (104) cycles. If the load changes to σmax = 320 MPa and σmin = −200 MPa, how many cycles should the
A rotating-beam specimen with an endurance limit of 50 kpsi and an ultimate strength of 140 kpsi is cycled 20 percent of the time at 95 kpsi, 50 percent at 80 kpsi, and 30 percent at 65 kpsi. Let f =
A machine part will be cycled at ±350 MPa for 5 (103) cycles. Then the loading will be changed to ± 260 MPa for 5 (104) cycles. Finally, the load will be changed to ±225 MPa. How many cycles of
The material properties of a machine part are Sut = 85 kpsi, f = 0.86, and a fully corrected endurance limit of Se = 45 kpsi. The part is to be cycled at σa = 35 kpsi and σm = 30 kpsi for 12 (103)
Repeat Prob. 6–62 using the Goodman criterion.Repeat Prob. 6–62, The material properties of a machine part are Sut = 85 kpsi, f = 0.86, and a fully corrected endurance limit of Se = 45 kpsi. The
Solve Prob. 6–1 if the ultimate strength of production pieces is found to be Sut = 1030LN(1, 0.0508) MPa.In Prob. 6–1, A 10-mm drill rod was heat-treated and ground. The measured hardness was
The situation is similar to that of Prob. 6–14 wherein the imposed completely reversed axial load Fa = 3.8LN (1, 0.20) kip is to be carried by the link with a thickness to be specified by you, the
A solid round steel bar is machined to a diameter of 32 mm. A groove 3 mm deep with a radius of 3 mm is cut into the bar. The material has a mean tensile strength of 780 MPa. A completely reversed
Repeat Prob. 6–66, with a completely reversed torsional moment of T = 160 N ∙ m applied.Repeat Prob. 6–66, A solid round steel bar is machined to a diameter of 32 mm. A groove 3 mm deep with a
A 1 ½ -in-diameter hot-rolled steel bar has a 3/16 -in diameter hole drilled transversely through it. The bar is nonrotating and is subject to a completely reversed bending moment of M = 1500 lbf
Repeat Prob. 6–68, with the bar subject to a completely reversed torsional moment of 2000 lbf ∙ in.Repeat Prob. 6–68, A 1 ½ -in-diameter hot-rolled steel bar has a 3/16 -in diameter hole
The plan view of a link is the same as in Prob. 6â€“30; however, the forces F are completely reversed, the reliability goal is 0.998, and the material properties are Sut = 64LN (1, 0.045) kpsi
A shaft is loaded in bending and torsion such that Ma = 70 N · m, Ta = 45 N · m, Mm = 55 N · m, and Tm = 35 N · m. For the shaft, Su = 700 MPa and Sy = 560 MPa, and a fully corrected endurance
The section of shaft shown in the figure is to be designed to approximate relative sizes of d = 0.75D and r = D/20 with diameter d conforming to that of standard metric rolling-bearing bore sizes.
The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 150-mm pitch diameter. The force
A geared industrial roll shown in the figure is driven at 300 rev/min by a force F acting on a 3-in-diameter pitch circle as shown. The roll exerts a normal force of 30 lbf/in of roll length on the
Design a shaft for the situation of the industrial roll of Prob. 7â€“4 with a design factor of 2 and a reliability goal of 0.999 against fatigue failure. Plan for a ball bearing on the left and
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
For the problem specified in the table, build upon the results of the original problem to obtain a preliminary design of the shaft by performing the following tasks.(a) Sketch a general shaft layout,
The shaft shown in the figure is proposed for the application defined in Prob. 3€“72, p. 138. The material is AISI 1018 cold-drawn steel. The gears seat against the shoulders, and have hubs
Continue Prob. 7€“19 by checking that the deflections satisfy the suggested minimums for bearings and gears in Table 7€“2. If any of the deflections exceed the recommended limits,
The shaft shown in the figure is proposed for the application defined in Prob. 3€“73, p. 138. The material is AISI 1018 cold-drawn steel. The gears seat against the shoulders, and have hubs
Continue Prob. 7€“21 by checking that the deflections satisfy the suggested minimums for bearings and gears in Table 7€“2. If any of the deflections exceed the recommended limits,
The shaft shown in the figure is driven by a gear at the right keyway, drives a fan at the left keyway, and is supported by two deep-groove ball bearings. The shaft is made from AISI 1020 cold-drawn
A shaft is to be designed to support the spur pinion and helical gear shown in the figure on two bearings spaced 700 mm center-to-center. Bearing A is a cylindrical roller and is to take only radial
A heat-treated steel shaft is to be designed to support the spur gear and the overhanging worm shown in the figure. A bearing at A takes pure radial load. The bearing at B takes the worm-thrust load
A bevel-gear shaft mounted on two 40-mm 02-series ball bearings is driven at 1720 rev/min by a motor connected through a flexible coupling. The figure shows the shaft, the gear, and the bearings. The
A 25-mm-diameter uniform steel shaft is 600 mm long between bearings.(a) Find the lowest critical speed of the shaft.(b) If the goal is to double the critical speed, find the new diameter.(c) A
Demonstrate how rapidly Rayleigh’s method converges for the uniform-diameter solid shaft of Prob. 7–28, by partitioning the shaft into first one, then two, and finally three elements.Prob.
The shaft shown in the figure carries a 18-lbf gear on the left and a 32-lbf gear on the right. Estimate the first critical speed due to the loads, the shaft€™s critical speed without the
The shaft shown in Prob. 7€“19 is proposed for the application defined in Prob. 3€“72, p. 138. Specify a square key for gear B, using a factor of safety of 1.1.In Prob.
The shaft shown in Prob. 7€“21 is proposed for the application defined in Prob. 3€“73, p. 138. Specify a square key for gear B, using a factor of safety of 1.1.Shown in Prob.
An interference fit of a cast-iron hub of a gear on a steel shaft is required. Make the dimensional decisions for a 1.75-in basic size medium drive fit.
A pin is required for forming a linkage pivot. Find the dimensions required for a 45-mm basic size pin and clevis with a sliding fit.
A journal bearing and bushing need to be described. The nominal size is 1.25 in. What dimensions are needed for a 1.25-in basic size with a close running fit if this is a lightly loaded journal and
A ball bearing has been selected with the bore size specified in the catalog as 35.000 mm to 35.020 mm. Specify appropriate minimum and maximum shaft diameters to provide a locational interference
A shaft diameter is carefully measured to be 1.5020 in. A bearing is selected with a catalog specification of the bore diameter range from 1.500 in to 1.501 in. Determine if this is an acceptable
A gear and shaft with nominal diameter of 35 mm are to be assembled with a medium drive fit, as specified in Table 7–9. The gear has a hub, with an outside diameter of 60 mm, and an overall length
A screw clamp similar to the one shown in the figure has a handle with diameter 3/8 in made of cold-drawn AISI 1006 steel. The overall length is 4.25 in. The screw is 3/4 in-10 UNC and is 8 in long,
The C clamp shown in the figure for Prob. 8–7 uses a 3/4 in-6 Acme thread. The frictional coefficients are 0.15 for the threads and for the collar. The collar, which in this case is the anvil
Find the power required to drive a 1.5-in power screw having double square threads with a pitch of 1/4 in. The nut is to move at a velocity of 2 in/s and move a load of F = 2.2 kips. The frictional
A single square-thread power screw has an input power of 3 kW at a speed of 1 rev/s. The screw has a diameter of 40 mm and a pitch of 8 mm. The frictional coefficients are 0.14 for the threads and
An M14 × 2 hex-head bolt with a nut is used to clamp together two 15-mm steel plates.(a) Determine a suitable length for the bolt, rounded up to the nearest 5 mm.(b) Determine the bolt stiffness.(c)
Repeat Prob. 8–11 with the addition of one 14R metric plain washer under the nut.Repeat Prob. 8–11, An M14 × 2 hex-head bolt with a nut is used to clamp together two 15-mm steel plates.(a)
Repeat Prob. 8–11 with one of the plates having a threaded hole to eliminate the nut.Repeat Prob. 8–11, An M14 × 2 hex-head bolt with a nut is used to clamp together two 15-mm steel plates.(a)
A 2-in steel plate and a 1-in cast-iron plate are compressed with one bolt and nut. The bolt is ½ in-13 UNC.(a) Determine a suitable length for the bolt, rounded up to the nearest ¼ in.(b)
Repeat Prob. 8–14 with the addition of one 1/2 N American Standard plain washer under the head of the bolt, and another identical washer under the nut.Repeat Prob. 8–14, A 2-in steel plate and a
Repeat Prob. 8–14 with the cast-iron plate having a threaded hole to eliminate the nut.Repeat Prob. 8–14, A 2-in steel plate and a 1-in cast-iron plate are compressed with one bolt and nut. The
Two identical aluminum plates are each 2 in thick, and are compressed with one bolt and nut. Washers are used under the head of the bolt and under the nut.Washer properties: steel; ID = 0.531 in; OD
Repeat Prob. 8–17 with no washer under the head of the bolt, and two washers stacked under the nut.Repeat Prob. 8–17, Two identical aluminum plates are each 2 in thick, and are compressed with
A 30-mm thick AISI 1020 steel plate is sandwiched between two 10-mm thick 2024-T3 aluminum plates and compressed with a bolt and nut with no washers. The bolt is M10 × 1.5, property class 5.8.(a)
Repeat Prob. 8–19 with the bottom aluminum plate replaced by one that is 20 mm thick.Repeat Prob. 8–19, A 30-mm thick AISI 1020 steel plate is sandwiched between two 10-mm thick 2024-T3 aluminum
Repeat Prob. 8–19 with the bottom aluminum plate having a threaded hole to eliminate the nut.Repeat Prob. 8–19, A 30-mm thick AISI 1020 steel plate is sandwiched between two 10-mm thick 2024-T3
Two 20-mm steel plates are to be clamped together with a bolt and nut. Specify a bolt to provide a joint constant C between 0.2 and 0.3.
A 2-in steel plate and a 1-in cast-iron plate are to be compressed with one bolt and nut. Specify a bolt to provide a joint constant C between 0.2 and 0.3.
An aluminum bracket with a ½-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
An M14 × 2 hex-head bolt with a nut is used to clamp together two 20-mm steel plates. Compare the results of finding the overall member stiffness by use of Eqs. (8–20), (8–22), and (8–23).
A 3/4 in-16 UNF series SAE grade 5 bolt has a Â¾-in ID steel tube 10 in long, clamped between washer faces of bolt and nut by turning the nut snug and adding one-third of a turn. The tube OD is the
For a bolted assembly with six bolts, the stiffness of each bolt is kb = 3 Mlbf/in and the stiffness of the members is km = 12 Mlbf/in per bolt. An external load of 80 kips is applied to the entire
For the bolted assembly of Prob. 8–29, it is desired to find the range of torque that a mechanic could apply to initially preload the bolts without expecting failure once the joint is loaded.
For a bolted assembly with eight bolts, the stiffness of each bolt is kb = 1.0 MN/mm and the stiffness of the members is km = 2.6 MN/mm per bolt. The joint is subject to occasional disassembly for
For a bolted assembly, the stiffness of each bolt is kb = 4 Mlbf/in and the stiffness of the members is km = 12 Mlbf/in per bolt. The joint is subject to occasional disassembly for maintenance and
The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores
The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores
The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores
The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores
Repeat the requirements for the problem specified in the table if the bolts and nuts are replaced with cap screws that are threaded into tapped holes in the cast-iron cylinder.Problem 8-33, the
Repeat the requirements for the problem specified in the table if the bolts and nuts are replaced with cap screws that are threaded into tapped holes in the cast-iron cylinder.Problem 8-38, the

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