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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2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless pully at D. If the
allowable tensile stress oallow = 5.2 ksi for the cable, determine the required minimum diameter (inch) of the cable. The
cylinder (connected at C) weighs 890 lb. Neglect weight and thickness of the bar AC.
D
4
3
A
C
5 ft
5 ft
-4 ft
890
lb
The lap joint is connected by three 20-mm-diameter rivets. Assuming that the axial load P=50 kN
is distributed equally among the three rivets, find (a) the shear stress in a rivet; (b) the bearing
stress between a plate and a rivet; and (c) the maximum average tensile stress in each plate.
130 mm
25 mm
25 mm
Question 4:
Two wrenches are used to tighten the pipe. If the pipe is made from a material having an
allowable shear stress of Tallow = 85 MPa, check the allowable force for external and internal
diameter of pipe and determine the allowable maximum force P that can be applied to each
wrench. The pipe has an outer diameter of 25 mm and inner diameter of 20 mm.
250 mm
B
250 mm
Figure 4
Answer: Torque = 0.5P, Polar moment of inertial J = 2.26 x 108 m4, outer diameter PS
%3D
307.36N, inner diameter P S 384.2 N, Pallowable = 307.36N
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- The cylindrical steel column has an outer diameter of 4 in. and inner diameter of 3.5 in. The column is separated from the concrete foundation by a square bearing plate. The working compressive stress is 26 000 psi for the column, and the working bearing stress is 1200 psi for concrete. Find the largest force P that can be applied to the column. Express your answer in Ib. 4 in. 3.5 in. 4/4 7 in.arrow_forwardThe 20-mm-diameter bolt fastens two wooden planks together. The nut is tightened until the tensile stress in the bolt is 150 MPa. Find the smallest safe diameter d of the washers if the working bearing stress for wood is 13 MPa. 20 mmarrow_forwardThe lap joint is connected by three 25-mm-diameter rivets. Assuming that the axial load P = 75 kN is distributed equally among the three rivets, find (a) the shear stress in a rivet; (b) the bearing stress between a plate and a rivet; and (c) the minimum average tensile stress in each plate. 130 mm 25 mm 25 mm Parrow_forward
- The vertical shaft with a diameter of d = 20 mm is supported by a thrust collar that rests on a 21-mm-thick plate. The thrust collar is 16-mm thick. Assume that the load P causes a compressive stress of 190 MPa in the shaft. If the bearing stress between the thrust collar and the plate is limited to 35 MPa, determine the minimum outer diameter Dcollar that must be used for the thrust collar. Thrust collar area Plate Thrust collar d Dcollararrow_forwardThe rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is w = 65 mm and the bar thickness is 15 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 140 MPa, the bearing stress in the bar cannot exceed 130 MPa, and the bearing stress in the bracket cannot exceed 140 MPa. Determine the maximum value of Pmax that can be supported by the structure. Answer: Pmax= i KNarrow_forwardThe rectangular bar is connected to the support bracket with a 26-mm-diameter pin. The bar width is w=60 mm and the bar thickness is 15 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 120 MPa, the bearing stress in the bar cannot exceed 120 MPa, and the bearing stress in the bracket cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported by the structure. Answer: Pmax KNarrow_forward
- The rectangular bar is connected to the support bracket with a 24-mm-diameter pin. The bar width is w = 80 mm and the bar thickness is 20 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 125 MPa, the bearing stress in the bar cannot exceed 130 MPa, and the bearing stress in the bracket cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. P Answer: Pmax =arrow_forward4. Determine the maximum normal stress developed in a bar when it is subjected to an axial load of P = 8 kN. P 40 mm 5 mm 20 mm r = 10 mm 20 mm Parrow_forward0.15m 0.75m 0.60m H 1.00m M 1.50m Figure 1: Representation of the frame system T 0.60m Figure 2: Detailing of support G 30mm 20mmarrow_forward
- The rectangular bar is connected to the support bracket with a 27-mm-diameter pin. The bar width is w = 65 mm and the bar thickness is 10 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 125 MPa, the bearing stress in the bar cannot exceed 120 MPa, and the bearing stress in the bracket cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. Answer: Pmax= P Mi KNarrow_forwardThe rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is w = 70 mm and the bar thickness is 20 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 130 MPa, the bearing stress in the bar cannot exceed 140 MPa, and the bearing stress in the bracket cannot exceed 150 MPa. Determine the maximum value of Pmax that can be supported by the structure.arrow_forwardThe rigid bar AB of negligible weight is supported by a pin at 0. When the two steel rods are attached to the ends of the bar, there is a gap D= 4 mm between the lower end of the left rod and its pin support at C. Compute the stress in the left rod after its lower end is attached to the support. The cross-sectional areas are 300 mm2 for rod AC and 250 mm2 for rod BD. Use E= 200 GPa for steel. lo/0 0.75 m 1.5m 2 m ANSWER: MPaarrow_forward
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