Solutions for EBK MECHANICS OF MATERIALS
Problem 1P:
A nylon thread is subjected to a 8.5-N tension force. Knowing that E = 3.3 GPa and that the length...Problem 2P:
A 4.8-ft-long steel wire of 14 -in.-diameter is subjected to a 750-lb tensile load. Knowing that E =...Problem 3P:
An 18-m-long steel wire of 5-mm diameter is to be used in the manufacture of a prestressed concrete...Problem 4P:
Two gage marks are placed exactly 250 mm apart on a 12-mm-diameter aluminum rod with E= 73 GPa and...Problem 5P:
An aluminum pipe must not stretch more than 0.05 in. when it is subjected to a tensile load. Knowing...Problem 6P:
A control rod made of yellow brass must not stretch more than 3 mm when the tension in the wire is 4...Problem 7P:
A steel control rod is 5.5 ft long and must not stretch more than 0.04 in. when a 2-kip tensile load...Problem 8P:
A cast-iron tube is used to support a compressive load. Knowing that E = 10 106 psi and that the...Problem 9P:
A 4-m-long steel rod must not stretch more than 3 mm and the normal stress must not exceed 150 MPa...Problem 10P:
A nylon thread is to be subjected to a 10-N tension. Knowing that E = 3.2 GPa, that the maximum...Problem 11P:
A block of 10-in. length and 1.8 1.6-in. cross section is to support a centric compressive load P....Problem 12P:
A square yellow-brass bar must not stretch more than 2.5 mm when it is subjected to a tensile load....Problem 13P:
Rod BD is made of steel (E = 29 106 psi) and is used to brace the axially compressed member ABC....Problem 14P:
The 4-mm-diameter cable BC is made of a steel with E = 200 GPa. Knowing that the maximum stress in...Problem 15P:
A single axial load of magnitude P = 15 kips is applied at end C of the steel rod ABC. Knowing that...Problem 16P:
A 250-mm-long aluminum tube (E = 70 GPa) of 36-mm outer diameter and 28-mm inner diameter can be...Problem 17P:
The specimen shown has been cut from a 14-in.-thick sheet of vinyl (E = 0.45 106 psi) and is...Problem 18P:
The brass tube AB (E = 105 GPa) has a cross-sectional area of 140 mm2 and is fitted with a plug at...Problem 19P:
Both portions of the rod ABC are made of an aluminum for which E = 70 GPa. Knowing that the...Problem 20P:
The rod ABC is made of an aluminum for which E = 70 GPa. Knowing that P = 6 kN and Q = 42 kN,...Problem 21P:
For the steel truss (E = 200 GPa) and loading shown, determine the deformations of members AB and...Problem 22P:
For the steel truss (E = 29 106 psi) and loading shown, determine the deformations of members BD...Problem 23P:
Members AB and BC are made of steel (E = 29 106 psi) with cross-sectional areas of 0.80 in2 and...Problem 24P:
The steel frame (E = 200 GPa) shown has a diagonal brace BD with an area ol 1920 mm2. Determine the...Problem 25P:
Link BD is made of brass (E = 105 GPa) and has a cross-sectional area of 240 mm2. Link CE is made of...Problem 26P:
Members ABC and DEF are joined with steel links (E = 200 GPa). Each of the links is made of a pair...Problem 27P:
Each of the links AB and CD is made of aluminum (E = 10.9 106 psi) and has a cross-sectional area...Problem 28P:
The length of the 332-in.-diameter steel wire CD has been adjusted so that with no load applied, a...Problem 29P:
A homogenous cable of length L and uniform cross section is suspended from one end. (a) Denoting by...Problem 30P:
The vertical load P is applied at the center A of the upper section of a homogeneous frustum of a...Browse All Chapters of This Textbook
Chapter 1 - Introduction-concept Of StressChapter 1.2 - Stresses In The Members Of A StructureChapter 1.5 - Design ConsiderationsChapter 2 - Stress And Strain-axial LoadingChapter 2.1 - An Introduction To Stress And StrainChapter 2.3 - Problems Involving Temperature ChangesChapter 2.9 - Stress-strain Relationships For Fiber-reinforced Composite MaterialsChapter 2.13 - Residual StressesChapter 3 - TorsionChapter 3.1 - Circular Shafts In Torsion
Chapter 3.3 - Statically Indeterminate ShaftsChapter 3.5 - Stress Concentrations In Circular ShaftsChapter 3.8 - Residual Stresses In Circular ShaftsChapter 3.10 - Thin-walled Hollow ShaftsChapter 4 - Pure BendingChapter 4.3 - Deformations In A Transverse Cross SectionChapter 4.5 - Stress ConcentrationsChapter 4.6 - Plastic DeformationsChapter 4.7 - Eccentric Axial Loading In A Plane Of SymmetryChapter 4.9 - General Case Of Eccentric Axial Loading AnalysisChapter 4.10 - Curved MembersChapter 5 - Analysis And Design Of Beams For BendingChapter 5.1 - Shear And Bending-moment DiagramsChapter 5.2 - Relations Between Load, Shear, And Bending MomentChapter 5.3 - Design Of Prismatic Beams For BendingChapter 5.4 - Singularity Functions Used To Determine Shear And Bending MomentChapter 5.5 - Nonprismatic BeamsChapter 6 - Shearing Stresses In Beams And Thin-walled MembersChapter 6.2 - Distribution Of Stresses In A Narrow Rectangular BeamChapter 6.5 - Plastic DeformationsChapter 6.6 - Unsymmetric Loading Of Thin-walled Members And Shear CenterChapter 7 - Transformations Of Stress And StrainChapter 7.1 - Transformation Of Plane StressChapter 7.2 - Mohr’s Circle For Plane StressChapter 7.5 - Theories Of FailureChapter 7.6 - Stresses In Thin-walled Pressure VesselsChapter 7.9 - Measurements Of Strain; Strain RosetteChapter 8 - Principal Stresses Under A Given LoadingChapter 8.2 - Design Of Transmission ShaftsChapter 8.3 - Stresses Under Combined LoadsChapter 9 - Deflection Of BeamsChapter 9.2 - Statically Indeterminate BeamsChapter 9.3 - Singularity Functions To Determine Slope And DeflectionChapter 9.4 - Method Of SuperpositionChapter 9.5 - Moment-area TheoremsChapter 9.6 - Moment-area Theorems Applied To Beams With Unsymmetric LoadingsChapter 10 - ColumnsChapter 10.1 - Stability Of StructuresChapter 10.2 - Eccentric Loading And The Secant FormulaChapter 10.3 - Centric Load DesignChapter 10.4 - Eccentric Load DesignChapter 11 - Energy MethodsChapter 11.3 - Strain Energy For A General State Of StressChapter 11.5 - Single LoadsChapter 11.9 - Statically Indeterminate Structures
Book Details
Mechanics of Materials is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication Mechanics of Materials provides a precise presentation of the subject illustrated with numerous engineer
Sample Solutions for this Textbook
We offer sample solutions for EBK MECHANICS OF MATERIALS homework problems. See examples below:
Chapter 1.2, Problem 6PChapter 1.2, Problem 7PChapter 1.5, Problem 40PChapter 1.5, Problem 41PChapter 1.5, Problem 55PChapter 1.5, Problem 56PChapter 1, Problem 59RPChapter 1, Problem 66RPChapter 2.1, Problem 16P
Chapter 2.1, Problem 19PChapter 2.1, Problem 20PChapter 2.3, Problem 41PChapter 2.3, Problem 55PChapter 2.9, Problem 70PGiven information: The young’s modulus E is 105 GPa. The poison ratio ν is 0.33. The normal stress...Given information: The modulus of elasticity in x-direction Ex is 50 GPa. The modulus of elasticity...Given information: The cross sectional area AC and BC of each portions is 1,750 mm2. The modulus of...Chapter 2.13, Problem 122PChapter 2.13, Problem 123PChapter 2, Problem 124RPChapter 2, Problem 134RPChapter 3.1, Problem 28PChapter 3.1, Problem 30PChapter 3.3, Problem 55PChapter 3.3, Problem 56PChapter 3.3, Problem 58PChapter 3.5, Problem 74PChapter 3.5, Problem 75PGiven information: The length of the shaft (L) is 0.9 m. The shear stress (τY).is 180 MPa The...Given information: The radius of the solid shaft (c) is 16 mm. The shear stress (τY) is 145 MPa. The...Chapter 3.10, Problem 137PGiven information: The length of the steel member (L) is 8ft. The provided section of the member is...Chapter 3.10, Problem 150PChapter 3, Problem 151RPChapter 3, Problem 157RPChapter 4.3, Problem 10PChapter 4.3, Problem 11PChapter 4.3, Problem 19PChapter 4.5, Problem 39PChapter 4.5, Problem 55PChapter 4.5, Problem 56PGiven information: The yield stress for the beam is σY=42 ksi. The Young’s modulus of steel is...Given information: The yield stress for the beam is σY=42 ksi. The Young’s modulus of steel is...Given information: The yield stress for the beam is σY=42 ksi. The Young’s modulus of steel is...Chapter 4.7, Problem 112PGiven information: The load act on the point of the bars is P. Calculation: At the point A: Show the...Chapter 4.9, Problem 129PChapter 4.9, Problem 148PGiven information: The radius of the circular plate is R=125 mm. The width of the rectangular post...Chapter 4.10, Problem 161PGiven information: The value of h is 40 mm. The inner (r1) and outer radius (r2) of the curved bar...Consider w be the width as a function of β, w=2csinβ Sketch the cross section for the polar...Chapter 4, Problem 192RPChapter 5.1, Problem 2PChapter 5.1, Problem 6PChapter 5.1, Problem 33PShow the free-body diagram of the entire beam as in Figure 1. Determine the vertical reaction at...Chapter 5.2, Problem 62PChapter 5.2, Problem 63PChapter 5.3, Problem 86PChapter 5.3, Problem 89PChapter 5.3, Problem 90PShow the free-body diagram of the beam as in Figure 1. Determine the vertical reaction at point B by...Show the free-body diagram of the beam as in Figure 1. Determine the vertical reaction at point E by...Chapter 5.5, Problem 129PChapter 5.5, Problem 145PChapter 5, Problem 152RPChapter 5, Problem 155RPChapter 6.2, Problem 5PChapter 6.2, Problem 20PGiven information: The beam is a hollow square of side a and thickness t. The beam is subjected to a...Chapter 6.5, Problem 56PGiven information: K is a point at a distance y<yY above the neutral axis. σx=σY between C and E....Chapter 6.6, Problem 68PCalculation: Refer to sample problem 6.6 in the text book. Combined stress along the vertical leg...Chapter 6, Problem 89RPChapter 6, Problem 97RPChapter 7.1, Problem 14PChapter 7.1, Problem 15PChapter 7.1, Problem 16PChapter 7.2, Problem 31PChapter 7.2, Problem 37PChapter 7.2, Problem 38PGiven information: The components of stress σx=−50 MPa and τxy=48 MPa. The maximum shear stress...Chapter 7.5, Problem 77PGiven information: The state of plane stress components are σx=σ0, σy=12σ0, and τxy=0. The uniaxial...Chapter 7.6, Problem 124PGiven information: Steel Ring: The thickness (ts) of the steel ring is 18 in. The Young’s modulus...Given information: Steel Ring: The thickness (ts) of the steel ring is 0.25 in. The Young’s modulus...Given information: The normal strain in Rosette 1 is ε1=−93.1×10−6 in./in.. The Rosette 1 makes an...Chapter 7.9, Problem 156PChapter 7.9, Problem 157PChapter 7, Problem 158RPChapter 7, Problem 164RPChapter 8.2, Problem 9PChapter 8.2, Problem 10PChapter 8.2, Problem 14PChapter 8.3, Problem 47PChapter 8.3, Problem 48PChapter 8.3, Problem 54PChapter 8, Problem 65RPChapter 8, Problem 72RPChapter 9.2, Problem 11PChapter 9.2, Problem 29PChapter 9.2, Problem 30PChapter 9.3, Problem 44PChapter 9.3, Problem 60PGiven information: The modulus of elasticity of the material is E=29×106 psi. Calculation: Show the...Chapter 9.4, Problem 69PChapter 9.4, Problem 83PChapter 9.4, Problem 90PChapter 9.5, Problem 107PChapter 9.5, Problem 108PCalculation: Use moment area method: Show the free body diagram of the beam as in Figure 1....Given information: The elastic modulus (E) is 29×106psi. The section of the beam is W12×26....Chapter 9.6, Problem 146PCalculation: Let, choose reaction RC as redundant. Show the free body diagram of the beam in below...Chapter 9, Problem 157RPChapter 9, Problem 159RPChapter 10.1, Problem 14PChapter 10.1, Problem 27PChapter 10.2, Problem 41PGiven information: The magnitude of axial load is P=345 kN. The eccentricity of the load is e=6 mm....Given information: The effective length of the laminated column is le=2.1 m. The adjusted allowable...Chapter 10.3, Problem 80PChapter 10.3, Problem 84PChapter 10.4, Problem 105PGiven information: The length of the steel tube is L=2.2 m. The outer diameter of the steel tube is...Chapter 10, Problem 117RPGiven information: The effective length of the steel tube is Le=14 ft. The magnitude of the vertical...Chapter 11.3, Problem 10PChapter 11.3, Problem 15PGiven information: The stress component along x direction is σx=8 ksi. The stress component along z...Given information: Taking into account the effect of both normal and shearing stresses. Calculation:...Given information: The mass of the collar D is m=15 kg. The modulus of elasticity of the steel rod...Chapter 11.5, Problem 57PChapter 11.5, Problem 69PChapter 11.9, Problem 101PChapter 11.9, Problem 102PChapter 11.9, Problem 103PChapter 11.9, Problem 104PChapter 11, Problem 123RPChapter 11, Problem 133RP
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