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 3, Problem 20P
To determine
Shear Stress in the aluminum having thickness of 0.060 in.
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A 3 mm thick aluminum sheet is cut with a 2.5 inches in diameter round punch. If the punch exerts a force of 7.5 kN, what is the shear stress in the sheet?
Solve the problem and show the formula used.
Subject : Machine Design 1
Chapter 3 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
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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- 40 lb/in. 9in. FIGURE PS-39 1. Compute the reactions at the supports using the tech- niques shown in Section 5-2. 2 Draw the complete shearing force and bending moment diagrams using the techniques shown in Sections 5-3 through 5-8, 3. Determine the magnitude and location of the maximum absolute value of the shearing force and bending moment.arrow_forwardA 7/8-in diameter bolt, having a diameter at the root of the threads of 0.731 in., is used to fasten two timbers together. The nut is tightened to cause a tensile stress of 18 ksi in the bolt. Compute the shearing stress (ksi) in the head of the bolt and in the threads. Also, determine the outside diameter of the washers (inches) if their inside diameter is 9/8 in. and the bearing stress is limited to 800 psi. 1/2 in 5/8 inarrow_forward2. A 30-mm bolt with an initial tension of 35 kN is subjected to several types of stresses during initial tightening or due to screwing up forces. If the bolt has a core diameter of 25.7 mm and considering 5 threads are already engaged with the nut, calculate the shear stress across the thread and the crushing stress between the threads. Assume 3.5 mm as the width of the thread section at the root.arrow_forward
- Question 2 The vertical shaft and the pulleys keyed to it in Figure Q2 may be regarded as weightless. A constant angular velocity is used to rotate the shaft. The known belt pulls are shown, and the three pulleys are firmly keyed to the shaft. Calculate the required diameter of a solid circular shaft if the operating stress in shear is 50 MPa. Because the bearings and pulleys are close together, neglect shaft bending. 250 mm B 350 mm ↓ -500 mm- Figure Q2 -3 kN 1 kN 1 kN 1.25 kNarrow_forwardPlease check attach filearrow_forwardA solid steel machine shaft with safe shearing stress of 7000 psi transmits a torque of 10,500 in-lb. A square key is used whose width is equal to one-fourth the shaft diameter and whose length is equal to 1.5 times the shaft diameter. Find the shearing stress in the key in psi.arrow_forward
- A 50-mm diameter is fastened to a pulley by means of 12 mm x 12 mm x 60 mm key, as shown in Figure E1-6. Determine the shear stress on a horizontal plane through the key if the pulley is to transmit a torque of 120 Nm.arrow_forwardReferring to Fig. 3 compute the maximum force P that can be applied by the machine operator, if the shearing stress in the pin at B and the axial stress in the control rod at C are limited to 4250 psi and 5500 psi, respectively. The diameters are 0.275 inch for the pin, and 0.625 inch for the control rod. Assume single shear for the pin at B. Figure 3 I12* 8 in 2 inarrow_forwardA pin connection, like that shown in Figure -16, is subjected to a force of 16,5 kN. Determine the shear stress in the 12.0 mm diameter pin.arrow_forward
- A commercial steel supplier lists rectangular steel tubing having outside dimensions of 4.00 by 2.00 in and a wall thickness of 0.109 in. Compute the maximum torque that can be applied to such a tube if the shear stress is to be limited to 6000 psi. For this torque, compute the angle of twist of the tube over a length of 6.5 ft.arrow_forwardA punch must cut a hole of 30 mm diameter in a sheet of metal with 2 mm thick. The ultimate shear stress is 55 MPa. Determine the force required for this operation.arrow_forwardRead and Solve carefully please Write clearly and Box the Final answer(s) Express your answer to 3 Significant figures and include appropriate units.arrow_forward
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