Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 1, Problem 1.8.14P
A flexible connection consisting of rubber pads (thickness f = 9 mm) bonded to steel plates is shown in the figure. The pads are 160 mm long and SO mm wide.
(a) Find the average shear strain yaiTi in the rubber if the force P = 16 kN and the shear modulus for the rubber is G = 1250 kPa.
(b) Find the relative horizontal displacement 3 between the interior plate and the outer plates.
Expert Solution & Answer
Trending nowThis is a popular solution!
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A square steel tube of a length L = 20 ft and width b2= 10.0 in. is hoisted by a crane (see figure). The lube hangs from a pin of diameter d that is held by the cables at points A and B. The cross section is a hollow square with an inner dimension b1= 8.5 in. and outer dimension b2= 10,0 in. The allowable shear stress in the pin is 8,700 psi. and the allowable bearing stress between the pin and the tube is 13,000 psi. Determine the minimum diameter of the pin in order to support the weight of the tube. Note: Disregard the rounded corners of the tube when calculating its weight.arrow_forwardA cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0,5 in, is subjected to internal pressure p = 375 psi, In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure), (a) Determine the maximum tensile stress ctniXand the maximum in-plane shear stress Tmjv in the wall of the cylinder. (b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T\ (c) If 7 = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively, what is the minimum required wall thicknessarrow_forwardA retaining wall 6 ft high is constructed of horizontal wood planks 2.5 in. thick (actual dimension) that are supported by vertical wood piles of a 12 in, diameter (actual dimension), as shown in the figure. The lateral earth pressure is pt=125 lb/ft2 at the top of the wall and p2= 425 lb/ft2 at the bottom. Assuming that the allowable stress in the wood is 1175 psi, calculate the maximum permissible spacing s of the piles. Find the required diameter of the wood piles so that piles and planks (f = 2.5 in.) reach the allowable stress at the same time. Hint: Observe that the spacing of the piles may be governed by the load-carrying capacity of either the planks or the piles. Consider the piles to act as cantilever beams subjected to a trapezoidal distribution of load, and consider the planks to act as simple beams between the piles. To be on the safe side, assume that the pressure on the bottom plank is uniform and equal to the maximum pressure.arrow_forward
- A plastic bar of rectangular cross section (ft = 1.5 in. and h = 3 in.) fits snugly between rigid supporls at room temperature (68oF) but with no initial stress (see Figure). When the temperature of the bar is raised to 160oF, the compressive stress on an inclined plane pq at mid-span becomes 1700 psi. (a) What is the shear stress on plane pq? (Assume a = 60 × 10-6/*t and E = 450 × 103psi.) (b) Draw a stress element oriented to plane pq and show the stresses acting on all laces of this element. (c) If the allowable normal stress is 3400 psi and the allowable shear stress is 1650 psi. what is the maximum load P (in the positive x direction), which can be added at the quarter point (in addition to thermal effects given) without exceeding allowable stress values in the bar?arrow_forwardA circular steel rod of diameter d is subjected to a tensile force P = 3.5 kN (see figure). The allow able stresses in tension and shear are 118 MPa and 4S MPa, respectively. What is the minimum permissible diameter dminof the rod?arrow_forward-21 Plastic bar AB of rectangular cross section (6 = 0.75 in. and h = 1.5 in.) and length L = 2 Ft is Fixed at A and has a spring support (Ar = 18 kips/in.) at C (see figure). Initially, the bar and spring have no stress. When the temperature of the bar is raised hy foot. the compressive stress on an inclined plane pq at Lq = 1.5 Ft becomes 950 psi. Assume the spring is massless and is unaffected by the temperature change. Let a = 55 × l0-6p and E = 400 ksi. (a) What is the shear stresst9 on plane pq? What is angle 07 =1 Draw a stress element oriented to plane pq, and show the stresses acting on all laces of this element. (c) If the allowable normal stress is ± 1000 psi and the allowable shear stress is ±560 psi, what is the maximum permissible value of spring constant k if the allowable stress values in the bar are not to be exceeded? (d) What is the maximum permissible length L of the bar if the allowable stress values in the bar are not be exceeded? (Assume £ = IB kips/in.) (e) What is the maximum permissible temperature increase (A7") in the bar if the allowable stress values in the bar are not to be exceeded? (Assume L = 2 ft and k = L& kips/inarrow_forward
- Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.arrow_forwardA copper wire having a diameter ofd = 4 mm is bent into a circle and held with the ends just touching (see figure), If the maximum permissible strain in the copper is = 0.0024, what is the shortest length L of wire that can be used? If L = 5.5 m, what is the maximum acceptable diameter of the wire if the maximum normal strain must remain below yield? Assume E = 120 GPa and(7K= 300 MPa.arrow_forwardA solid circular pole is subjected to linearly varying distributed force with maximum intensity q0at the base and an axial compressive load P at the top (see figure). Find the required diameter d of the pole if the maximum allowable normal stress is 150 M Pa. Let q0= 6.5 kN/m, P = 70 kN, and L = 3 m.arrow_forward
- A sliding collar of weight W = 150 lb falls From a height h = 2.0 in. onto a flange at the bottom of a slender vertical rod (see figure). The rod has a length L = 4.0 ft, cross-sectional area A = 0.75 in2, and modulus of elasticity E = 30 X 106 psi. Calculate the following quantities: (a) the maximum downward displacement of the flange, (b) the maximum tensile stress in the rod, and (c) the impact factor.arrow_forwardThe upper deck ala foothill stadium is supported by braces, each of which transfer a load P = 160 kips to the base of a column (see figure part a). A cap plate at the bottom of the brace distributes the load P to four flange pates (:1 = I in)t hrough a pin(d, = 2 in.) to two gusset plates t8 = l.5 in.) (see figure parts b and c). Determine the following quantities. (a) The average shear stress i in the pin. (b) The average bearing stress between the flange plates and the pin and also between the gusset plates and the pin Disregard friction between the plates. Determine the following quantities. (a) The average shear stress i in the pin. (b) The average bearing stress between the flange plates and the pin and also between the gusset plates and the pin (7j )L Disregard friction between the plates.arrow_forwardThe composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions of 150 mm × 250 mm and two brass plates of cross-sectional dimensions 30 mm × 150 mm. Determine the maximum stresses (7b and ctwin the brass and wood, respectively, if the moduli of elasticity are EB= % GPa and Ew= 14 GPa. (Disregard the weight of the beam.) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values of Eb= 70 MPa and t Ew= 8.5 MPa simultaneously under the maximum moment. What is the maximum moment?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Strain energy and strain energy density introduced; Author: Engineer4Free;https://www.youtube.com/watch?v=m14sqLGg4BQ;License: Standard youtube license