Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Chapter 5, Problem 28P
The shaft shown in Figure P5−28is supported by bearings at each end, which have bores of 20.0 mm. Design the shaft to carry the given load if it is steady and the shaft is stationary. Make the dimension a as large as possible while keeping the stress safe. Determine the required diameter in the middle portion. The maximum fillet permissible is 2.0 mm. Use SAE 1137 cold-drawn steel. Use a design factor of 3.
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Chapter 5 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
Ch. 5 - A link in a mechanism is made from a round bar...Ch. 5 - A link in a packaging machine mechanism has a...Ch. 5 - A cantilevered boom is part of an assembly machine...Ch. 5 - For Problems1014, use the method outlined in...Ch. 5 - For Problems1014, use the method outlined in...Ch. 5 - Figure P524shows a hydraulic cylinder that pushes...Ch. 5 - The shaft shown in Figure P528is supported by...Ch. 5 - An aluminum rod, made from alloy 6061-T6, is made...Ch. 5 - A circular bar of SAE 4140 OQT 1000 steel steps...Ch. 5 - Compute the torsional shear stress in a circular...
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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_forward4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 -10 -250 32 B 6.8 KN 75 -38 100- с 125 10 35 D 30arrow_forwardRequired Information A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces Rjand 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. 200 mm 25 mm 13 kN 50 mm- Not to scale Determine the endurance limit, adjusted as necessary with Marin factors. The endurance limit is 210.7 MPa.arrow_forward
- Problem 2: F = 10 kip -10 in- -5 in- -5 in- d/5 R. R1 d/ 10 R. 1.4 d- R2 I in The shaft shown above rotates at 1200 RPM and supports a 10 kip load. The material of the shaft is 1095 hot-rolled steel and its surface is machined and then polished. Using a factor of safety of 1.6, specify the minimum value of diameter d for a life of 1,000 hours.arrow_forward1) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm. While the real part has fillets (r=3mm), you can assume an abrupt change in geometry for each shaft step for this problem. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa, a yield strength of S_y=580 MPa, and a modulus of Elasticity of E_steel = 207 GPa. Determine the displacement at the 6.8 kN load and points B and C. 6.8 KN 30 10 250 32 B 75 38 100 10-1 -35 30arrow_forwardPROBLEM: A shaft supported at the ends carries a spur gear and is to transmit 10 kW at 200 rpm. The weight of the gear is 1 kN. If the allowable shear stress is 45 MPa, determine the shaft diameter. FIGURE: Bearing 150 mm 100 mm. 200 mm. Gear Shaft 100 mm Bearing SOLUTION: Instructions: Solve the diameter of the shaft. To add an equation in Word, select Insert > Equation or press Alt + = Example: = F Aarrow_forward
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- Problem 4: A cast iron shaft, ASTM-25 with an ultimate tensile strength of 25,000 psi, is subjected to a tor- sional load which is completely reversed. The load is to be applied an indefinite number of cycles. The shaft is 2" in diameter and is joined to a 3" diameter shaft with a " radius fillet. The factor of safety is to be 2. What is the maximum torque that can be applied to the shaft? Solve by two methods: (1) using Soderberg's equation, (2) using s = Tc/J directly.arrow_forwardA shaft is designed to transmit power of 100 kW at 180 rpm. The allowable shear stress is 50MPa and modulus of rigidity of 80 GPa. The angle of twist is not to exceed to 1° in 4-meter length A. Calculate the diameter of the shaft in inches. B.If the shaft in A is to be fitted to a hub with material SAE 0105 and fit classification of FN3, what will be the maximum and minimum stresses based on the interference of metal.arrow_forwardUse the general shaft layout given and determine the critical diameters of the shaft based on infinite fatigue life with a design factor of 1.5. Check for yielding. Check the slopes at the bearings for satisfaction of the recommended limits in Table 7-2. Assume that the deflections for the pulleys are not likely to be critical. The material selected is 1050 Q and T. Given: Sut = 163 kpsi and Sy = 117 kpsi. Use the following shaft layout assuming a gear transmits torque through a key and keyseat at location A to another gear at location B. 16 in 14 in F3 9 in Gear A 20-in dia. Gear B 8-in dia. FA 300 lbf 20 A) Determine the location of the critical section on the shaft. B) If the shaft's loading is fully reversed and the torque between points A and B is constant, what are the values of the mean and alternating torques and the mean and alternating moments in lbf-in?arrow_forward
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