EBK MACHINE ELEMENTS IN MECHANICAL DESI
6th Edition
ISBN: 9780134451947
Author: Wang
Publisher: YUZU
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Chapter 3, Problem 60P
To determine
The diameter of solid circular bar.
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The gear forces shown act in planes parallel to the yz plane. The force on
20 in
gear A is 300 lbf. Consider the bearings at O and B to be simple supports.
For a static analysis and a factor of safety of 3.5, use both the DET and
16 in
the MSST to determine the minimum safe diameter of the shaft.
10 in
Consider the material to have a yield strength of 60 ksi.
Gear A
Solution:
24-in D.
Gear C
10-in D.
20°
4. A solid square rod is cantilevered at one end. The rod is 0.6 m long and
supports a completely reversing transverse load at the other end of ±2 kN. The
material is AISI 1080 hot-rolled steel. If the rod must support this load for 104
cycles with a design factor of 1.5, what dimension should the square cross
section have? Neglect any stress concentrations at the support end.
65
The shaft is shown in Figure 3 is modified using the shaft from Question 2. Manufacturer
selected as machined surface treatment for the shaft. It contains two fillets and one groove.
The shaft rotates at 3000 řpm, whilst the imposed loads remain static.
(a) Ifthe shaft is subjected to two-point load as shown below, F =10 kN, Calculate the factor
of safety with respect to fatigue failure.
(b) If the shaft is subjected to two-point load F= 10 kN while transmitting a power of P =
32 kW, Calculate the factor of safety with respect to fatigue failure.
(L1 = 70 mm, L2 = 100 mm, L3 = 80 mm, La = 40 mm, Ls = 50 mm, L6 = 30 mm, Rj = 2 mm, R2
1 mm, R3= 4 mm, d = 24mm and D = 32mm,)
0.3F
0.7F
LI
Ls
L.
L6
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R1
R3
R2
Chapter 3 Solutions
EBK MACHINE ELEMENTS IN MECHANICAL DESI
Ch. 3 - A tensile member in a machine structure is...Ch. 3 - Compute the stress in a round bar having a...Ch. 3 - Compute the stress in a rectangular bar having...Ch. 3 - A link in a packaging machine mechanism has a...Ch. 3 - Two circular rods support the 3800 lb weight of a...Ch. 3 - A tensile load of 5.00 kN is applied to a square...Ch. 3 - An aluminum rod is made in the form of a hollow...Ch. 3 - Compute the stress in the middle portion of rod AC...Ch. 3 - Compute the forces in the two angled rods in...Ch. 3 - If the rods from Problem 9 are circular, determine...
Ch. 3 - Repeat Problems 9 and 10 if the angle is 15 .Ch. 3 - Figure P312 shows a small truss spanning between...Ch. 3 - The truss shown in Figure P313 spans a total space...Ch. 3 - Figure P314 shows a short leg for a machine that...Ch. 3 - Consider the short compression member shown in...Ch. 3 - Refer Figure P38 . Each of the pins at A, B, and C...Ch. 3 - Compute the shear stress in the pins connecting...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Compute the torsional shear stress in a circular...Ch. 3 - If the shaft of Problem 22 is 850 mm long and is...Ch. 3 - Compute the torsional shear stress due to a torque...Ch. 3 - Compute the torsional shear stress in a solid...Ch. 3 - Compute the torsional shear stress in a hollow...Ch. 3 - Compute the angle of twist for the hollow shaft of...Ch. 3 - A square steel bar, 25 mm on a side and 650 mm...Ch. 3 - A 3.00 in-diameter steel bar has a flat milled on...Ch. 3 - A commercial steel supplier lists rectangular...Ch. 3 - A beam is simply supported and carries the load...Ch. 3 - For each beam of Problem 31, compute its weight if...Ch. 3 - For each beam of Problem 31, compute the maximum...Ch. 3 - For the beam loading of Figure P334, draw the...Ch. 3 - For the beam loading of Figure P334, design the...Ch. 3 - Figure P336 shows a beam made from 4 in schedule...Ch. 3 - Select an aluminum I-beam shape to carry the load...Ch. 3 - Figure P338 represents a wood joist for a...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 40PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - Prob. 50PCh. 3 - Compute the maximum tensile stress in the bracket...Ch. 3 - Compute the maximum tensile and compressive...Ch. 3 - For the lever shown in Figure P353 (a), compute...Ch. 3 - Compute the maximum tensile stress at sections A...Ch. 3 - Prob. 55PCh. 3 - Refer to Figure P38. Compute the maximum tensile...Ch. 3 - Prob. 57PCh. 3 - Refer to P342. Compute the maximum stress in the...Ch. 3 - Refer to P343. Compute the maximum stress in the...Ch. 3 - Prob. 60PCh. 3 - Figure P361 shows a valve stem from an engine...Ch. 3 - The conveyor fixture shown in Figure P362 carries...Ch. 3 - For the flat plate in tension in Figure P363,...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - Prob. 68PCh. 3 - Figure P369 shows a horizontal beam supported by a...Ch. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - The beam shown in Figure P372 is a stepped, flat...Ch. 3 - Figure P373 shows a stepped, flat bar having a...Ch. 3 - Figure P374 shows a bracket carrying opposing...Ch. 3 - Prob. 75PCh. 3 - Figure P376 shows a lever made from a rectangular...Ch. 3 - For the lever in P376, determine the maximum...Ch. 3 - Figure P378 shows a shaft that is loaded only in...Ch. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - A hanger is made from ASTM A36 structural steel...Ch. 3 - A coping saw frame shown in Figure P382 is made...Ch. 3 - Prob. 83PCh. 3 - Figure P384 shows a hand garden tool used to break...Ch. 3 - Figure P385 shows a basketball backboard and goal...Ch. 3 - Prob. 86P
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- Required information A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R₁ and R₂. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 25 mm- R₁ 200 mm- 13 KN Not to scale. -50 mm. B₂ Determine the minimum static factor of safety based on yielding. The minimum static factor of safety based on yielding isarrow_forwardA leafs spring contains 4 full-length and 8 graduated leafs. The eyebolts at the support are 20 inches apart and the system should carry a load of 400 lbs. If the thickness of the available bronze plate is 1“ and Sy = 80 ksi, what leaf width is required at FOS = 8?arrow_forwardi need the answer quicklyarrow_forward
- The 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 the belt tensions. The shaft is to be made of ASTM grade 25 cast iron using a design factor na = 2.8. What diameter should be used for the shaft? 6-in D. 300 lbf 27 lbf 360 lbf D 6 in A 8 in 50 lbf B 8-in D. 8 inarrow_forwardRead the question carefully and give me right solution according to the questionarrow_forwardA structural support for a machine will be subjected to a static tensile load of 16.0 kN.Specify suitable dimensions for the cross section of the rod.arrow_forward
- V-links "Im crank arm раper rolling machine forks rod off-loading station air cylinder fork lift truck Determine the critical load on the air-cylinder rod if the crank arm that it rotates is 0.3 m long and in the position with the largest compression of the rod its length equals 0.5 m. The 40-mm-dia rod is solid steelwith a yield strength of 400 MPa. Assume the rod is a fixed-pinned column. Use a theoretical value for the effective length factor. Express your answer to three significant figures and include the appropriate units. HA Per = 1026 kNarrow_forwardA rigid coupling with 30 inches of bolt circle diameter transmits a torque of 18,000 lb-in. The coupling material has a yield strength of 90,000 psi. The coupling is fastened by six bolts. Assume design factor of N=3 Calculate the diameter of each bolt.arrow_forwardRepeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.arrow_forward
- I need the answer as soon as possiblearrow_forwardProblem 2: Let FA=100 N and F= 208.33 N for the shaft below. The bearings D and B act as pin supports. The shaft is made of 2014 aluminum alloy with a yield strength of 276 MPa. The shaft has a diameter of 8 mm. Based on the maximum shear stress (MSS) theory, determine if the shaft is safe. Determine the corresponding safety factor. Y 45 mm 30 mm D. 20 mm FC 20° Gear 1 50-mm dia. Shaft FA 20° Gear 2 24-mm dia.arrow_forwardProblem 4 The Figure shows a shaft simply supported in ball bearings at A and B, and is loaded by a force F that fluctuates between Fmax = 8 kN and F,min = 0. The shaft is made of AISI 1040 CD steel (Sut = 590 MPa) and has a fully corrected endurance limit Se 180 MPa. Estimate the life of the part. If F %3D A infinite life is predicted, calculate the factor of safety. 200 mm 200 mm Hint: The fatigue strength fraction of Sut at 103 cycles is f = 0.86. %3D 30 mm OCO.00 0.02.0,0A0 R1 R2 00.2202 AD O CI.00arrow_forward
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