Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Textbook Question
Chapter 1, Problem 1.8.5P
The Force in the brake cable of the V-brake system shown in the figure is T — 45 lb. The pivot pin at A has a diameter d. = 0.25 in. and length L„ = 5/S in. Use the dimensions shown in the figure. Neglect the weight of the brake system.
(a) Find the average shear stress rjm in the pivot pin where it is anchored to the bicycle frame at B.
(b) Find the average bearing stress raverin the pivot pin over segment AB.
(a) Find support reactions at A and B.
(b) Find the resultant force in the shoe boll at A.
(c) Find maximum average shear T and bearing AB stresses in the shoe bolt at A.
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Problem 1.7-5 The force in the brake cable of the V-brake
system shown in the figure is T- 200 N. The pivot pin at A has
diameter d,-6 mm and length Lp-16 mm.
Use dimensions shown in the figure. Neglect the weight of the
brake system.
(a) Find the average shear stress 7er in the pivot pin where it is
anchored to the bicycle frame at B.
(b) Find the average bearing stress aaver in the pivot pin over
segment AB.
Find the stresses in each direction, also find the
change in volume of the block of dimension 110
mm x 55 mm x 40 mm, subjected to 3 mutually
perpendicular loads. The load along length,
breadth and depth directions are 14 kN
(tensile), 20 kN (compressive), 10 kN
(compressive) respectively. Take E as 160 GPa,
Poisson's ratio as 0.3
(ENTER ONLY THE VALUES IN THE
BOXES BY REFERRING THE UNIT
GIVEN IN BRACKET & UPLOAD YOUR
HAND WRITTEN ANSWERS IN THE
LINK PROVIDED)
The stress along length direction (Unit in
MN/m?)=.
The compressive stress along width
direction (Unit in MN/m2)=.
The compressive stress along depth
direction (Unit in MN/m2)=.
The change in volume of the block is (unit in
mm3) =.
Chapter 1 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 1 - Find support reactions at A and B and then...Ch. 1 - Find support reactions at A and B and then...Ch. 1 - Segments AB and BC of beam ABC are pin connected a...Ch. 1 - Segments A B and BCD of beam A BCD are pin...Ch. 1 - Segments AB and BCD of beam ABCD are pin connected...Ch. 1 - Consider the plane truss with a pin support at...Ch. 1 - A plane truss has a pin support at A and a roller...Ch. 1 - A plane truss has a pin support at F and a roller...Ch. 1 - Find support reactions at A and B and then use the...Ch. 1 - Find support reactions at 4 and Band then use the...
Ch. 1 - Repeat 1.3-9 but use the method of sections go...Ch. 1 - Repeat 1.3-10 but use the method of sections to...Ch. 1 - A space truss has three-dimensional pin supports...Ch. 1 - A space truss is restrained at joints O, A. B. and...Ch. 1 - 1.3-15 A space truss is restrained at joints A, B,...Ch. 1 - A space truss is restrained at joints A, B. and C,...Ch. 1 - A stepped shaft ABC consisting of two solid,...Ch. 1 - A stepped shaft ABC consisting of two solid,...Ch. 1 - A plane frame is restrained al joints A and C, as...Ch. 1 - A plane Frame is restrained at joints A and D, as...Ch. 1 - Find support reactions at A and D and then...Ch. 1 - Find support reactions at A and D and then...Ch. 1 - ,3-23 A 200-lb trap door (AD) is supported by a...Ch. 1 - A plane frame is constructed by using a pin...Ch. 1 - A plane Frame with pin supports at A and E has a...Ch. 1 - A plane frame with a pin support at A and roller...Ch. 1 - A 150-lb rigid bar AB. with friction less rollers...Ch. 1 - A plane frame has a pin support at A and roller...Ch. 1 - A special vehicle brake is clamped at O when the...Ch. 1 - Space frame A BCD is clamped at A, except it is...Ch. 1 - Space Frame ABC is clamped at A, except it is free...Ch. 1 - A soccer goal is subjected to gravity loads (in...Ch. 1 - An elliptical exerciser machine (see figure part...Ch. 1 - A mountain bike is moving along a flat path at...Ch. 1 - A hollow circular post ABC (see figure) supports a...Ch. 1 - A circular nylon pipe supports a downward load PA=...Ch. 1 - A circular tube AB is fixed at one end and free at...Ch. 1 - A force P of 70 N is applied by a rider to the...Ch. 1 - A bicycle rider wants to compare the effectiveness...Ch. 1 - A circular aluminum tube with a length of L = 420...Ch. 1 - The cross section of a concrete corner column that...Ch. 1 - A car weighing 130 kN when fully loaded is pulled...Ch. 1 - Two steel wines support a moveable overhead camera...Ch. 1 - A long re Lai nine: wall is braced by wood shores...Ch. 1 - A pickup truck tailgate supports a crate where Wc=...Ch. 1 - Solve the preceding problem if the mass of the...Ch. 1 - An L-shaped reinforced concrete slab 12 Ft X 12...Ch. 1 - A crane boom of mass 450 leg with its center of...Ch. 1 - Two gondolas on a ski lift are locked in the...Ch. 1 - A round bar ABC of length 2L (see figure) rotates...Ch. 1 - Two separate cables AC and BC support a sign...Ch. 1 - Imagine that a long steel wire hangs vertically...Ch. 1 - A steel riser pipe hangs from a drill rig located...Ch. 1 - Three different materials, designated A, B. and C,...Ch. 1 - The strength-to-weight ratio of a structural...Ch. 1 - A symmetrical framework consisting of three...Ch. 1 - A specimen of a methacrylate plastic is tested in...Ch. 1 - The data shown in the accompanying table are From...Ch. 1 - A bar made of structural steel having the...Ch. 1 - A bar of length 2.0 m is made of a structural...Ch. 1 - A bar made of structural steel having the...Ch. 1 - A circular bar of magnesium alloy is 750 mm long....Ch. 1 - An aluminum bar has length L = 6 ft and diameter d...Ch. 1 - A continuous cable (diameter 6 mm) with tension...Ch. 1 - A wine of length L = 4 ft and diameter d = 0.125...Ch. 1 - A high-strength steel bar used in a large crane...Ch. 1 - A round bar of 10 mm diameter is made of aluminum...Ch. 1 - A polyethylene bar with a diameter d, = 4.0 in. is...Ch. 1 - A square plastic bar (length LP,side dimension...Ch. 1 - A polyethylene bar having rectangular cross...Ch. 1 - A circular aluminum tube of length L = 600 mm is...Ch. 1 - A bar of monel metal with a length L = 9 in. and a...Ch. 1 - A tensile test is performed on a brass specimen 10...Ch. 1 - A hollow, brass circular pipe ABC (see figure)...Ch. 1 - Three round, copper alloy bars having the same...Ch. 1 - An angle bracket having a thickness t = 0.75 in....Ch. 1 - Truss members supporting a roof are connected to a...Ch. 1 - The upper deck ala foothill stadium is supported...Ch. 1 - The inclined ladder AB supports a house painter...Ch. 1 - The Force in the brake cable of the V-brake system...Ch. 1 - A steel plate of dimensions 2.5 × l.5 × 0.08 m and...Ch. 1 - A special-purpose eye boll with a shank diameter d...Ch. 1 - An elastomeric bearing pad consisting of two steel...Ch. 1 - A joint between iwo concrete slabs A and B is...Ch. 1 - A steel punch consists of two shafts: upper shaft...Ch. 1 - A joint between two glass plates A and B is filled...Ch. 1 - A punch for making a slotted hole in ID cards is...Ch. 1 - A steel riser pipe hangs from a drill rig located...Ch. 1 - A flexible connection consisting of rubber pads...Ch. 1 - .15 A hitch-mounted bicycle rack is designed to...Ch. 1 - The clamp shown in the figure supports a load...Ch. 1 - A shock mount constructed as shown iu the figure...Ch. 1 - Prob. 1.8.18PCh. 1 - A spray nozzle for a garden hose requires under a...Ch. 1 - A single steel strut AB with a diameter (a) Find...Ch. 1 - The top portion of a pole saw used to trim (a)...Ch. 1 - A cargo ship is tied down to marine boll arts at a...Ch. 1 - A basketball player hangs on the rim after (a)...Ch. 1 - A bicycle chain consists of a series of small...Ch. 1 - A bar of solid circular cross section is loaded in...Ch. 1 - .2 A torque T0is transmitted between two flanged...Ch. 1 - A tie-down on the deck of a sailboat consists of a...Ch. 1 - Two steel tubes are joined at B by four pins (dp=...Ch. 1 - A steel pad supporting heavy machinery rests on...Ch. 1 - A steel pad supporting heavy machinery rests on...Ch. 1 - A steel riser pipe hangs from a drill rig....Ch. 1 - The rear hatch of a van (BDCG in figure part a) is...Ch. 1 - A lifeboat hangs from two ship's davits. as shown...Ch. 1 - A cable and pulley system in the figure part a...Ch. 1 - A ship's spar is attached at the base of a mast by...Ch. 1 - What is the maximum possible value of the clamping...Ch. 1 - A metal bar AB of a weight Ills suspended by a...Ch. 1 - A plane truss is subjected to loads 2P and P at...Ch. 1 - A solid bar of circular cross section (diameter d)...Ch. 1 - A solid steel bar of a diameter d1= 60 mm has a...Ch. 1 - A sign of weight W is supported at its base by...Ch. 1 - The piston in an engine is attached to a...Ch. 1 - An aluminum tube is required to transmit an axial...Ch. 1 - A copper alloy pipe with a yield stress aY= 290...Ch. 1 - A horizontal beam AB with cross-sectional...Ch. 1 - Lateral bracing for an elevated pedestrian walkway...Ch. 1 - A plane truss has joint loads P, 2P, and 3P at...Ch. 1 - Cable DB supports canopy beam OABC as shown in the...Ch. 1 - Continuous cable ADS runs over a small...Ch. 1 - A suspender on a suspension bridge consist of a...Ch. 1 - A square steel tube of a length L = 20 ft and...Ch. 1 - A cable and pulley system at D is used to bring a...Ch. 1 - A pressurized circular cylinder has a sealed cover...Ch. 1 - A tubular post of outer diameter d2is guyed by two...Ch. 1 - A large precast concrete panel for a warehouse is...Ch. 1 - A steel column of hollow circular cross section is...Ch. 1 - An elevated jogging track is supported at...Ch. 1 - A flat bar of a widths b = 60 mm and thickness t =...Ch. 1 - Continuous cable A DB runs over a small friction...Ch. 1 - Continuous cable ADB runs over a small friction...Ch. 1 - Two bars AC and BC of the same material support a...
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