MECH ENGINEERING DESIGN(LL)+ACCESS
10th Edition
ISBN: 9781260113952
Author: BUDYNAS
Publisher: MCG
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Chapter 6, Problem 10P
Estimate the endurance strength of a 1.5-in-diameter rod of AISI 1040 steel having a machined finish and heat-treated to a tensile strength of 110 kpsi, loaded in rotating bending.
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Design of a Shaft subjected to Alternating Loads
1. [Proof of Concept] Considéra machined steel circular shaft subjected to maximum and minimum bending moment of 1000 and 4000 lb .in, respectively; and a maximum and minimum torque of 250 and 1600 Ib.in, respectively. Consider the factor of safety to be 2, the yield strength of the materials 40 ksi, and its ultimate strength to be 70ksi.Determine the minimum diameter of the shaft for the case where D is 20% larger than d, the fillet radius is 10% of d, and reliability is 99%. You may use DE-ASM E formula.
2. Write a computer code that can take Tm, Ta, Mm, Ma, choice of material, safety factor, and other necessary assumptions from the user and return an estimated diameter for the shaft.Choice of inputs is up to you. Note that many of the required quantities are themselves function of the shaft diameter. Your code should be submitted with a report.
A forged steel bar, 50 mm in diameter, is subjected to a reversed bending stress of 250 MPa. The bar is made of 40 C8 with ultimate strength of 600 MPa. Calculate the endurance limit and life of the bar. Consider 90% reliability.
A 4340 quench and tempered rotating steel shaft, d = 1 in, is loaded in fully reversed bending . The bar has been machined with surface conditions a = 1.34 ksi and b = -0.085, and will be operating at room temperature. The program requires a reliability of 99.99 percent. The fillet radii at all points is r = 0.08 in. The fatigue strength fraction f = 0.76, and the The ultimate strength (Sut) is 260 Ksi.
Determine the endurance limit in the aforementioned conditions
Chapter 6 Solutions
MECH ENGINEERING DESIGN(LL)+ACCESS
Ch. 6 - A 10-mm steel drill rod was heat-treated and...Ch. 6 - Prob. 2PCh. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Repeat Prob. 6-5 with the specimen having an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Derive Eq. (6-17). Rearrange the equation to solve...Ch. 6 - For the interval 103 N 106 cycles, develop an...Ch. 6 - Estimate the endurance strength of a...
Ch. 6 - Two steels are being considered for manufacture of...Ch. 6 - A 1-in-diamctcr solid round bar has a groove...Ch. 6 - A solid square rod is cantilevered at one end. The...Ch. 6 - A rectangular bar is cut from an AISI 1020...Ch. 6 - A solid round bar with diameter of 2 in has a...Ch. 6 - The rotating shaft shown in the figure is machined...Ch. 6 - The shaft shown in the figure is machined from...Ch. 6 - Solve Prob. 6-17 except with forces F1 = 1200 lbf...Ch. 6 - Bearing reactions R1 and R2 are exerted on the...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with an alternating...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - The cold-drawn AISI KUO steel bar shown in the...Ch. 6 - Repeat Prob. 6-25 for a load that fluctuates from...Ch. 6 - An M14 2 hex-head bolt with a nut is used to...Ch. 6 - The figure shows a formed round-wire cantilever...Ch. 6 - The figure is a drawing of a 4- by 20-mm latching...Ch. 6 - The figure shows the free-body diagram of a...Ch. 6 - Solve Prob. 6-30 except let w1 = 2.5 in. w2 = l.5...Ch. 6 - For the part in Prob. 630, recommend a fillet...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - A part is loaded with a combination of bending,...Ch. 6 - Repeat the requirements of Prob. 6-35 with the...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 637 to 646 For the problem specified in the table,...Ch. 6 - For the problem specified in the table, build upon...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - Problem Number Original Problem, Page Number 637...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - Solve Prob. 6-17 except include a steady torque of...Ch. 6 - Solve Prob. 618 except include a steady torque of...Ch. 6 - In the figure shown, shaft A, made of AISI 1020...Ch. 6 - A schematic of a clutch-testing machine is shown....Ch. 6 - For the clutch of Prob. 657, the external load P...Ch. 6 - A flat leaf spring has fluctuating stress of max =...Ch. 6 - A rotating-beam specimen with an endurance limit...Ch. 6 - A machine part will be cycled at 350 MPa for 5...Ch. 6 - The material properties of a machine part are Sut...Ch. 6 - Repeat Prob. 662 using the Goodman criterion....
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- The round cross-sectional bar shown below is cut from a steel with a diameter of 36 mm and has the following properties (Sut = 479 MPa, Sy = 389 MPa and fully corrected Se =177 MPa). The bar is loaded at its end with a fluctuating bending load ranges from Fmin = -423 N to Fmax = 850 N. Using a design factor of nd = 1.2, what will be the maximum length of the bar that prevents failure using Modified Goodman criteria? * your answer must be in mm. * accepted answer range (+/- 5 mm)arrow_forward2. Compute for the estimated actual endurance limit for a machined rectangular steel bar (ASTMA148-58 SAE 0105) 3.5 in high by 0.375 in thick, subjected to repeated and reversed bendingstress. A reliability of 99% is desired. Please give the FBD also every calculation, thank youarrow_forwardA round cross section cold drawn steel bar made of AISI 1020 has adiameter of 35 mm. Based on a conservative failure analysis, calculate factorof safety in the following conditions:a) The bar is subjected to static bending moment of 450 N.m, and steadytorque of 180 N.mb) The bar is subjected to bending moment fluctuating between(900 N.m and 400 N.m), and steady tension of 2.4 kNarrow_forward
- rotating shaft of 16 mm diameter is made of plain carbon steel. It is subjected to axial load of 5000 N, a steady torque of 50 N-m and maximum bending moment of 75 Nm. Calculate the factor of safety available based on 1. Maximum normal stress theory; and 2. Maximum shear stress theory. Assume yield strength as 400 MPa for plain carbon steelarrow_forwardA 1-in-diameter solid round bar has a groove 0.1-in deep with a 0.1-in radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lb-in. For the S-N diagram of this material, let f=0.9. Estimate the number of cycles to failure. If the bar is also placed in an environment with a temperature of 750 F, estimate the number of cycles to failurearrow_forward(2) A diesel engine developing 1,850 hp at 105 rpm is used on a ship to drive the propeller. The shaft of the propeller is to be made of 3.5% per cent nickel steel, heat-treated, with an ultimate strength in tension of 130,000 psi, and an ultimate in shear about 70% of the ultimate in tension. Angular twist is limited to 1° in 20 diameters. (a) Using a design factor of 2, find the diameter of solid shaft required. (b) Using the same data, find the diameter of hollow shaft required if the outside diameter is twice the inside diameter. (c) What is the percentage of saving in weight by using the hollow shaft?arrow_forward
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