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 1.3.16P
A space truss is restrained at joints A, B. and C, as shown in the figure. Load P acts in the +z direction at joint Band in the -z directions at joint C. Coordinates of all joints are given in terms of dimension variable L (see figure). Let P = 5 kN and L = 2 m.
(a) Find the reaction force components Az and Bx.
(b) Find the axial force in truss member AB.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 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
- 1.3-15 A space truss is restrained at joints A, B, and C, as shown in the figure. Load 2P is applied at in the -x direction at joint A, load 3P acts in the + - direction at joint B. and load P is applied in the + r direction al joint C. Coordinates of all joints are given in terms of dimension variable L (see figure). (a) Find reaction force components Ayand Azin terms of load variable P. (b) Find the axial force in truss member AB in terms of load variable P.arrow_forwardA space truss is restrained at joints O, A. B. and C, as shown in the figure. Load P is applied at joint A and load IP acts downward at joint C. (a) Find reaction force components Ax, By, and B. in terms of load variable P. (b) Find the axial force in truss member AB in terms of load variable P.arrow_forwardSpace frame A BCD is clamped at A, except it is Free to translate in the .v direction. There is also a roller support at D, which is normal to line CDE. A triangularly distributed Force with peak intensity q0 = 75 N/m acts along AB in the positive - direction. Forces Px= 60 N and Pz = = 45 N are applied at joint C, and a concentrated moment My = 120 N . m acts at the mid-span of member BC. (a) Find reactions at supports A and I). (b) Find internal stress resultants N. E’I T, and .11 at the mid-height of segment AB.arrow_forward
- A space truss has three-dimensional pin supports at joints 0, B, and C, Load P is applied at joint A and acts toward point Q. Coordinates of all joints arc given in feet (see figure). (a) Find reaction force components B x, B z, and Oz (b) Find the axial force in truss member AC.arrow_forwardFind support reactions at 4 and Band then use the method of joints to find all member forces. Let b = 3 m and P = 80 kN.arrow_forwardA long, slender bar in the shape of a right circular cone with length L and base diameter d hangs vertically under the action of its own weight (see figure). The weight of the cone is W and the modulus of elasticity of the material is E. Derive a formula for the increase S in the length of the bar due to its own weight. (Assume that the angle of taper of the cone is small.)arrow_forward
- A plane frame is restrained al joints A and C, as shown in the figure. Members AB and BC are pin connected at B. A triangularly distributed lateral load with a peak intensity or 90 lb/ft acts on AB. A concentrated moment is applied at joint C. (a) Find reactions at supports A and C. (b) Find internal stress resultants A', V, and \f at x = 3 ft on column AB.arrow_forwardA T-frame structure is torn posed of a prismatic beam ABC and a nonprismatic column DBF. The beam and the column have a pin support at .A and D, respectively. Both members are connected with a pin at B. The lengths and properties of the members are shown in the figure. Find the vertical displacement of the column at points F and B. Plot axial force (AFD) and axial displacement (ADD) diagrams For column DBF.arrow_forwardA uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?arrow_forward
- Find support reactions at A and D and then calculate the axial force N, shear force V, and bending moment M at mid-span of AB. Let L = 14 ft, q0 = 12 lb/ft, P = 50 lb. and = 300 lb-ft.arrow_forwardA soccer goal is subjected to gravity loads (in the - z direction, w = 73 N/m for DG, BG, and BC; w = 29 N/m for all other members; see figure) and a force F = 200 N applied eccentrically at the mid-height of member DG. Find reactions at sup ports C, D, and H.arrow_forwardThe main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform in intensity along the horizontal. Therefore, represent the central region AOB of one of the main cables (see part b of the figure) as a parabolic cable supported at points A and B and carrying a uniform load of intensity q along the horizontal. The span of the cable is L, the sag is /i, the axial rigidity is EA\ and the origin of coordinates is at mid span. (a) Derive the following formula for the elongation of cable AOB shown in part b or the figure: (b) Calculate the elongation 5 of the central span of one of the main cables of the Golden Gate Bridge for which the dimensions and properties are L = 4200 ft,h = 470 ft, q = 12,700 lb/ft, and E = 23,300,000 psi The cable consists of 27,572 parallel wires of diameter 0.196 in. Hint: Determine the tensile force Tal any point in the cable from a free-body diagram of part of the cable; then determine the elongation of an element of the cable of length ds: finally, integrate along the curve of the cable to obtain an equation for the elongation £.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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY