Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 135RP
(a)
To determine
Find the required mass (m) of the block.
(b)
To determine
Find the required mass (m) of the block.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(6) A 14-in round wire coiled to form a conical spring with 10 effective coils & an outside diameter of
3.0in@ one end & 2.0in @ the other. Determine:
(a) the load that will produce a stress of 50,000psi;
(b) the deflection at this load.
1. A cantilever of square cross section as shown was made of mild carbon steel SAE 1020, as rolled, and was designed to support a
static load W = 15 lb. After the beam was installed, it was discovered that the weight W was not static but vibrated, so that
actually the beam was subjected to a repeated load. Measurement showed that the weight rose and fell a distance h equal to 0.05
inch. Shortly thereafter the beam fractured at the fillet which had a machined radius of 1/32 in. (a) Make calculations to show and
state your conclusion whether or not the beam should have been expected to fail. (b) for the same data, design a new cantilever
with the same dimensions except with a fillet radius r= 1/8 in. Determine whether a carbon steel would be necessary, and if so, its
SAE or AISI no.
1/2"
3/4".
6"
A uniformly-distributed load w is supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 15-mm-
diameter stainless steel rods that have an elastic modulus of E= 191 GPa. Rod (3) is a 21-mm-diameter bronze rod that has an elastic
modulus of E= 100 GPa. Use a = 1.6 m and L = 3.2 m. For a load magnitude of w= 32 kN/m, calculate (a) the normal stress in each rod.
(b) the vertical deflection of the rigid bar at F.
(1)
B
Answers:
(a) σ₁ = i
(b) VF= i
D
Save for Later
(2)
eTextbook and Media
2a
W
E
MPa, σ₂ = i
mm
MPa, and σ3 = i
Attempts: 0 of 5 used
MPa
Submit Answer
Chapter 2 Solutions
Mechanics of Materials, 7th Edition
Ch. 2.1 - A nylon thread is subjected to a 8.5-N tension...Ch. 2.1 - A 4.8-ft-long steel wire of 14 -in.-diameter is...Ch. 2.1 - An 18-m-long steel wire of 5-mm diameter is to be...Ch. 2.1 - Two gage marks are placed exactly 250 mm apart on...Ch. 2.1 - An aluminum pipe must not stretch more than 0.05...Ch. 2.1 - A control rod made of yellow brass must not...Ch. 2.1 - A steel control rod is 5.5 ft long and must not...Ch. 2.1 - A cast-iron tube is used to support a compressive...Ch. 2.1 - A 4-m-long steel rod must not stretch more than 3...Ch. 2.1 - A nylon thread is to be subjected to a 10-N...
Ch. 2.1 - A block of 10-in. length and 1.8 1.6-in. cross...Ch. 2.1 - A square yellow-brass bar must not stretch more...Ch. 2.1 - Rod BD is made of steel (E = 29 106 psi) and is...Ch. 2.1 - The 4-mm-diameter cable BC is made of a steel with...Ch. 2.1 - A single axial load of magnitude P = 15 kips is...Ch. 2.1 - A 250-mm-long aluminum tube (E = 70 GPa) of 36-mm...Ch. 2.1 - The specimen shown has been cut from a...Ch. 2.1 - The brass tube AB (E = 105 GPa) has a...Ch. 2.1 - Both portions of the rod ABC are made of an...Ch. 2.1 - The rod ABC is made of an aluminum for which E =...Ch. 2.1 - For the steel truss (E = 200 GPa) and loading...Ch. 2.1 - For the steel truss (E = 29 106 psi) and loading...Ch. 2.1 - Members AB and BC are made of steel (E = 29 106...Ch. 2.1 - The steel frame (E = 200 GPa) shown has a diagonal...Ch. 2.1 - Link BD is made of brass (E = 105 GPa) and has a...Ch. 2.1 - Members ABC and DEF are joined with steel links (E...Ch. 2.1 - Each of the links AB and CD is made of aluminum (E...Ch. 2.1 - The length of the 332-in.-diameter steel wire CD...Ch. 2.1 - A homogenous cable of length L and uniform cross...Ch. 2.1 - The vertical load P is applied at the center A of...Ch. 2.1 - Denoting by the "engineering strain'' in a...Ch. 2.1 - The volume of a tensile specimen is essentially...Ch. 2.3 - An axial centric force of magnitude P = 450 kN is...Ch. 2.3 - An axial centric force of magnitude P = 450 kN is...Ch. 2.3 - The 4.5-ft concrete post is reinforced with six...Ch. 2.3 - The 4.5-ft concrete post is reinforced with six...Ch. 2.3 - An axial force of 200 kW is applied to the...Ch. 2.3 - The length of the assembly shown decreases by 0.40...Ch. 2.3 - A polystyrene rod consisting of two cylindrical...Ch. 2.3 - Three steel rods (E = 29 106 psi) support an...Ch. 2.3 - Fig. P2.41 2.41 Two cylindrical rods, one of steel...Ch. 2.3 - Solve Prob. 2.41, assuming that rod AC is made of...Ch. 2.3 - Each of the rods BD and CE is made of brass (E =...Ch. 2.3 - The rigid bar AD is supported by two steel wires...Ch. 2.3 - The rigid bar ABC is suspended from three wines of...Ch. 2.3 - The rigid bar AD is supported by two steel wires...Ch. 2.3 - The aluminum shell is fully bonded to the brass...Ch. 2.3 - The aluminum shell is fully bonded to the brass...Ch. 2.3 - The brass shell (b = 11.6 10-6/F) is fully bonded...Ch. 2.3 - The concrete post (Ec = 3.6 106) psi and c = 5.5 ...Ch. 2.3 - A rod consisting of two cylindrical portions AB...Ch. 2.3 - A rod consisting of two cylindrical portions AB...Ch. 2.3 - Fig. P2.52 2.52 A rod consisting of two...Ch. 2.3 - The steel rails of a railroad (rack (Es = 200GPa,...Ch. 2.3 - Two steel bars (Es = 200 GPa and s = 11.7 10-6/C)...Ch. 2.3 - Determine the maximum load P that can be applied...Ch. 2.3 - An aluminum rod (Ea = 70 GPa, a = 23.6 10-6/C)...Ch. 2.3 - Knowing that a 0.02-in. gap exists when the...Ch. 2.3 - Determine (a) the compressive force in the bars...Ch. 2.3 - At room temperature (20C) a 0.5-mm gap exists...Ch. 2.9 - A standard tension test is used to determine the...Ch. 2.9 - A 2-m length of an aluminum pipe of 240-nun outer...Ch. 2.9 - A line of slope 4:10 has been scribed on a...Ch. 2.9 - A 2.75-kN tensile load is applied to a test coupon...Ch. 2.9 - Fig. P2.65 2.65 In a standard tensile test a steel...Ch. 2.9 - The change in diameter of a large steel bolt is...Ch. 2.9 - The brass rod AD is fitted with a jacket that is...Ch. 2.9 - A fabric used in air-inflated structures is...Ch. 2.9 - A 1-in. square was scribed on the side of a large...Ch. 2.9 - The block shown is made of a magnesium alloy for...Ch. 2.9 - The homogeneous plate ABCD is subjected to a...Ch. 2.9 - For a member under axial loading, express the...Ch. 2.9 - In many situations it is known that the normal...Ch. 2.9 - In many situations physical constraints prevent...Ch. 2.9 - The plastic block shown is bonded to a rigid...Ch. 2.9 - The plastic block shown is bonded to a rigid...Ch. 2.9 - Two blocks of rubber with a modulus of rigidity G...Ch. 2.9 - Fig. P2.77 and P2.78 2.78 Two blocks of rubber...Ch. 2.9 - An elastomeric bearing (G = 130 psi) is used to...Ch. 2.9 - 2.80 For the elastomeric bearing In Prob. 2.79...Ch. 2.9 - A vibration isolation unit consists of two blocks...Ch. 2.9 - Prob. 82PCh. 2.9 - Prob. 83PCh. 2.9 - Prob. 84PCh. 2.9 - Prob. 85PCh. 2.9 - A 2.75-kN tensile load is applied to a test coupon...Ch. 2.9 - A vibration isolation support consists of a rod A...Ch. 2.9 - Prob. 88PCh. 2.9 - Prob. 89PCh. 2.9 - Show that for any given material, the ratio G/E of...Ch. 2.9 - Prob. 91PCh. 2.9 - Prob. 92PCh. 2.13 - Knowing that, for the plate shown, the allowable...Ch. 2.13 - Knowing that P = 38 kN, determine the maximum...Ch. 2.13 - A hole is to be drilled in the plate at A. The...Ch. 2.13 - Fig. P2.95 and P2.96 2.96 (a) For P = 13 kips and...Ch. 2.13 - 2.97 Knowing that the hole has a diameter of 9 mm,...Ch. 2.13 - For P = 100 kN, determine the minimum plate...Ch. 2.13 - Prob. 99PCh. 2.13 - A centric axial force is applied to the steel bar...Ch. 2.13 - The cylindrical rod AB has a length L = 5 ft and a...Ch. 2.13 - Fig. P2.101 and P.102 2.102 The cylindrical rod AB...Ch. 2.13 - Rod AB is made of a mild steel that is assumed to...Ch. 2.13 - Prob. 104PCh. 2.13 - Rod ABC consists of two cylindrical portions and...Ch. 2.13 - Prob. 106PCh. 2.13 - Prob. 107PCh. 2.13 - Prob. 108PCh. 2.13 - Each cable has a cross-sectional area of 100 mm2...Ch. 2.13 - Prob. 110PCh. 2.13 - Two tempered-steel bars, each 316 in. thick, are...Ch. 2.13 - Prob. 112PCh. 2.13 - Prob. 113PCh. 2.13 - Prob. 114PCh. 2.13 - Prob. 115PCh. 2.13 - Prob. 116PCh. 2.13 - Prob. 117PCh. 2.13 - Prob. 118PCh. 2.13 - Prob. 119PCh. 2.13 - For the composite bar in Prob. 2.111, determine...Ch. 2.13 - Prob. 121PCh. 2.13 - Bar AB has a cross-sectional area of 1200 mm2 and...Ch. 2.13 - Bar AB has a cross-sectional area of 1200 mm2 and...Ch. 2 - The uniform wire ABC, of unstretched length 2l, is...Ch. 2 - The aluminum rod ABC (E = 10.1 106 psi), which...Ch. 2 - Two solid cylindrical rods are joined at B and...Ch. 2 - Prob. 127RPCh. 2 - Prob. 128RPCh. 2 - Prob. 129RPCh. 2 - A 4-ft concrete post is reinforced with four steel...Ch. 2 - The steel rods BE and CD each have a 16-mm...Ch. 2 - Prob. 132RPCh. 2 - Prob. 133RPCh. 2 - The aluminum test specimen shown is subjected to...Ch. 2 - Prob. 135RP
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
- Solve correct pleasearrow_forward(11) A cantilever spring has an effective length of 21.0in & has two full length & eight graduated leaves, each 244-in wide. The spring is to sustain a load of 900lb with stress of 50,000psi in all leaves. Determine: (a) the thickness of the spring leaves; (b) the deflection at full load.arrow_forward1. A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends being firmly fastened together, subjected to a compressive load of 30kN. Youngs modulus of elasticity of steel is 200GPa and that of copper is 120GPa. Evaluate the stress produced in the copper rod and steel tube.arrow_forward
- PART A AND C ONLY SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) Use THE CORRECT UNITS) Express your answer to three significant figures and include appropriate units. DRAW THE FREE BODY DIAGRAM and label it for this problem as wellarrow_forwardShow all working explaining detailly each step.arrow_forwardProblem 1: Steel rod AC (E=200GPA) having a cross sectional area of 250 mm?, jointly support the 10 kN load with spring DE having a flexibility of 0.0005mm/N and an unstretched length of 9m. Bar BCE is rigid. Assuming that there was no slack or stress in rod AC or spring DE before the load was applied; a. Determine the ratio of the deformation of rod AC to spring DE. b. Determine the force on rod AC in kN. 12m 9m E c. Determine the force on spring DE (kN). 12m 4marrow_forward
- (12) A truck spring has ten leaves of graduated length. The spring supports are 42½-in apart & the central band is 32-in wide. The central load is to be 1,200lb with a permissible stress of 40,000psi. The spring should have a ratio of total depth to width of about 2½. Determine: (a) the width & thickness of the steel spring materials; (b) the deflection when loaded.arrow_forward40-mm Rod ABC consists of two cylindrical portions AB and BC; it is made of a mild steel that is assumed to be elastoplastic with E = 200 GPa and oy = 250 MPa. A force P is applied to the rod and then removed to give it a permanent set 8, = 2 mm. Determine the maximum value of the force P and the maximum amount 8, by which the rod should be stretched to give it the desired permanent 1.2 m diameter B 30-mm 0,8 m diameter set. Parrow_forwardA load P is supported by two springs arranged IN SERIES. The upper spring has 20 turns of 20mm-diameter wire on a mean diameter of 150 mm. The lower spring consist of 15 turns of 10mm-diameter wire on a mean diameter of 130 mm. Determine the value of P in Newtons that will cause a total deflection of 80 mm. Assume G = 80 GPa for both springs. Note: Illustrate the problem.arrow_forward
- The blue bar is made from steel with the following mechanical properties: Young's Modulus, E = 17x10° psi; Poisson's Ratio v = 0.31. The bar has a circular cross-section with diameter d= 0.50 in. being the length of each side. 557 lb 557 Ib 60 in. - Determine the following under the action of the axial load (assume elastic behavior): a. The bar's axial deformation, ô, in in.: b. The average axial or longitudinal strain, ELong: c. The change in the bar's diameter, in in.:arrow_forwardA steel bar of a length, diameter and Young’s modulus of 400 mm, 20 mm and 200 GPa is placed concentrically within a brass tube which has an outside diameter,thickness, length and Young’s modulus of 30 mm, 4 mm, 400 mm long and 100 GPa respectively. The compound bar hangs vertically with its upper end rigidly fixed with a collar fitted to the bottom end. The application of a load P results in the compound bar storing a total of 7 J of energy. Calculate:1.1 The gradually applied load 1.2. The suddenly applied load1.3 The impact load that falls 150 mm and induces 7 J of energy1.4 The instantaneous stresses in both materials1.5 The instantaneous elongation of the compound rodarrow_forwardA steel bar of a length, diameter and Young's modulus of 400 mm, 20 mm and 20 GPa is placed concentrically within a brass tube which has an outside diameter, thickness, length and Young's modulus of 30 mm, 4 mm, 400 mm long and 100 GPa respectively. The compound bar hangs vertically with it's upper end rigidly fixed with a collar fitted to the bottom end. The application of a load P results in the compound bar storing a total of 7 J of energy. Calculate : 1, 1)The gradually applied load 1,2)The suddenly applied load 1,3)The impact load that fails 150 mm and induces 7 J of energy 1,4)The instantaneous stresses in both materials 1,5)The instantaneous elongation of the compound rod.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY