Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
thumb_up100%
Chapter 10.6, Problem 10.44P
A uniform edge load of 500 lb/in. and 350 lb/in. is applied to the polystyrene specimen. If the specimen is originally square and has dimensions of a = 2 in., b = 2 in., and a thickness of t = 0.25 in., determine its new dimensions a', b', and t' after the load is applied. Ep = 597(103) psi and vp = 0.25.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule07:17
Students have asked these similar questions
A uniform edge load of w1 = 530 lb/in. and w2 = 320 lb/in. is applied to the polystyrene specimen. Ep = 597(103)psi and νp = 0.25.
1) Part A: If the specimen is originally square and has dimensions of a = 1 in ., b = 2 in., and a thickness of t = 0.35 in. , determine its new dimension a′ after the load is applied.
2) Part B: Determine its new dimension b′ after the load is applied.
3) Part C: Determine its new dimension t′ after the load is applied.
A uniform edge load of 500 lb>in. and 350 lb>in. is applied to the polystyrene specimen. If the specimen is originally square and has dimensions of a = 2 in., b = 2 in., and a thickness of t = 0.25 in., determine its new dimensions a, b, and t after the load is applied. Ep = 597(103) psi andnp = 0.25.
The acrylic plastic rod is 200 mm long and
15 mm in diameter. If an axial load of 300
N is applied to it, what is the change in its
diameter? E, = 2.70 GPa, v, = 0.5.
300 N
300 N
200 mm
Select one:
a. -4.72 µm
O b. -6.29 µm
C. -3.77 µm
d. 3.77 µm
е. 4.72 um
O f. None
Chapter 10 Solutions
Mechanics of Materials (10th Edition)
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the pin leaf...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain- transformation equations to...
Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.3 - using Mohrs circle. 103. The state of strain at...Ch. 10.3 - Solve Prob.105 using Mohrs circle. 105. The state...Ch. 10.3 - Solve Prob.108 using Mohrs circle 108. The state...Ch. 10.3 - using Mohrs circle. 106. The state of strain at a...Ch. 10.5 - The strain at point A on the bracket has...Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.5 - Determine (a) the principal strains at A, in the...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained for each gage:...Ch. 10.5 - The following readings are obtained from each...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the modulus of elasticity and Polssons...Ch. 10.6 - If it is subjected to an axial load of 15 N such...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - A strain gage having a length of 20 mm Is attached...Ch. 10.6 - Determine the bulk modulus for each of the...Ch. 10.6 - The strain gage is placed on the surface of the...Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.6 - The cube of aluminum is subjected to the three...Ch. 10.6 - The principal strains at a point on the aluminum...Ch. 10.6 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 10.6 - Prob. 10.45PCh. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - A single strain gage, placed in the vertical plane...Ch. 10.6 - If the material is graphite for which Eg = 800 ksi...Ch. 10.6 - Determine the normal stresses x and y in the plate...Ch. 10.6 - The steel shaft has a radius of 15 mm. Determine...Ch. 10.6 - Prob. 10.51PCh. 10.6 - The A-36 steel pipe is subjected to the axial...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Prob. 10.55PCh. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - Prob. 10.58PCh. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - The yield stress for a zirconium-magnesium alloy...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - If a machine part is made of tool L2 steel and a...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 10.65PCh. 10.7 - If a shaft is made of a material for which y = 75...Ch. 10.7 - Solve Prob.1066 using the maximum shear stress...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - The short concrete cylinder having a diameter of...Ch. 10.7 - Prob. 10.70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - An aluminum alloy is to be used for a solid drive...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - The 304-stainless-steel cylinder has an inner...Ch. 10.7 - If the 2-in diameter shaft is made from brittle...Ch. 10.7 - If the 2-in diameter shaft is made from cast iron...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 10.82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 10.84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - Prob. 10.88PCh. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - The gas tank is made from A-36 steel and has an...Ch. 10.7 - The internal loadings at a critical section along...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - If the material is machine steel having a yield...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Calculate the mass of 1ft3 of gasoline if it weighs 42.0 lb.
Applied Fluid Mechanics (7th Edition)
Using the coefficient of static friction indicated, determine the greatest weight of block D without causing mo...
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
The block rests at a distance of 2 m from the center of the platform. If the coefficient of static friction bet...
Engineering Mechanics: Dynamics (14th Edition)
63. Consider the following strange, but true, unit:
1 donkeypower = 0.33 horsepower [hp]
A certain motor is rat...
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
4.44 Compute reactions at each support for the beam shown. The beam weight is 50 lb/ft.
Applied Statics and Strength of Materials (6th Edition)
In each case, determine the moment of the force about point O. Prob. P3-1
Statics and Mechanics of Materials (5th Edition)
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 uniform edge load of wi = 540 lb/in. and w2 = 300 lb/in. is applied to the polystyrene specimen. E, = 597(10*) psi and v, = 0.25 (Figure 1) Part A If the specimen is originally square and has dimensions of a = 4 in ., b = 4 in., and a thickness of t = 0.35 in. , determine its new dimension a' after the load is applied. Express your answer to six significant figures and include appropriate units. ? HA a' = Value Units Submit Request Answer Figure < 1 of 1 Part B Determine its new dimension b' after the load is applied. Express your answer to six significant figures and include appropriate units. ? µA b' = Value Units Submit Request Answerarrow_forwardThe elastic portion of the stress-strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of 12.7 mm and a gage length of 50.8 mm. If a load of P=60 kN is applied to the specimen, determine its new diameter and length. Take v = 0.35. o (MPa) 490 e (mm/mm) 0.007arrow_forward5. The elastic portion of the stress-strain diagram for an aluminum alloy is shown in the figure on the right. The specimen from which it was obtained has an original diameter of 12.7 mm and a gage length of 50.8 mm. If a load of F = 60 kN is applied to the specimen, determine its new diameter and length, if v = 0.35. σ (MPa) 490 0.007 € (mm/mm)arrow_forward
- The pole is supported by a pin at B and A-36 steel guy wire AC. If the wire has a diameter of 0.2. Modulus of Elasticity of Steel = 200GPA or 29x103 ksi Poisson's ratio of steel=0.321 a. Determine how much the wire stretches when the horizontal force acts on the pole. 3 ft 30 D 2.5 kip 4 ft B b. Determine the change in the wire's radius c. At what angle is the principal stresses on pole BC? Use Mohr's Circle. d. What is the principal stress in pol BC? Use Mohr's Circle e. Draw the stresses on a unit element acting on 35-degree clockwise direction of pole BC. Use Mohr's Circle. f. What are the principal stresses in point D? Use Mohr's Circle. (answer in ksi) g. At what angle is the principal stresses acting on point D? Use Mohr 's Circle. h. Draw the stresses on a unit element acting on 35degree-clockwise direction of point D. Use Mohr's Circle. (answer in ksi)arrow_forward7. A 20-mm-wide block is firmly bonded to rigid plates at its top and bottom. When the force P is applied the block deforms into the shape shown by the dashed line. Determine the magnitude of P. The block's material has a modulus of rigidity of G = 26 GPa. Assume that the material does not yield and use small angle analysis. 150 mm - 0.5 mm 150 mm [Ans: P= 260 kNarrow_forwardNylon strips are fused to glass plates. When moderately heated the nylon will become soft while the glass stays approximately rigid. Determine the average shear strain in the nylon due to the load P when the assembly deforms as indicated. 2 mm P. 3 mm 5 mm 3 mm 5 mm 3 mmarrow_forward
- A 12mm thick steel tire has a width of 110mm and has an internal diameter of 800mm. The tire is heated and shrunk to a steel wheel 800.5 mm in diameter. The modulus of elasticity E = 200 MPa. a. Determine the tensile stress in the tire. b. Determine the compressive pressure between the tire and the wheel. c. Determine the thickness of the tire to resist a pressure of 1.5 MPa if it has an allowable stress of 124 MPa. I need answer ASAP. Thank you!arrow_forwardA 5-kN tensile load is applied to a test coupon made from 1.6-mm flat steel plate (E = 200 GPa, v = 0.30). Determine the change in volume of the 50-mm gage lenght segment AB by computing the dilatation of the material. Determine the change in volume of the 50-mm gage length segment AB by subtracting the original volume of portion AB from its final volume.arrow_forward3. The aluminum block has the rectangular cross-section and is subjected to an axial compressive force of 8 kips. The 1.5-in side changed its length to 1.50014 inches. Use E = 10 x 10³ ksi. Calculate the new length of the 2-inch side. Answer: Lnew = 2.00019 in 1.5 in 2 in. 8 kip- 8 kip 3 in. 4. A solid cylinder of diameter D is subjected to an axial load P. Show that its change in diameter is 8D = 4Pv/лDE.arrow_forward
- 2. A circular steel bar with with a diameter of 3 in and length of 2 m is subjected to an tensile force of 80 kN. Determine the change in length and the change in its cross section if the material behaves elastically. Let y be the longitudinal axis and Modulus of Elasticity be 200 GPa. Assume v=0.32arrow_forwardThe elastic portion of the tension stress–strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gage length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is Gal = 3.811032 ksi.arrow_forwardThe elastic region of the tension stress-strain diagram for an aluminum alloy is shown in (Figure 1). The specimen used for the test has a gage length of 2 in. and a diameter of 0.5 in. The shear modulus is Gal = 3.8 (10³) ksi. Figure σ (ksi) 70 VI 0.00614 1 of 1 € (in./in.) Part A If the applied load is 15 kip, determine the new diameter of the specimen. Express your answer in inches to four significant figures. IVE ΑΣΦ ↓↑ vec d' = Submit Provide Feedback Request Answer ? in.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
Material Properties 101; Author: Real Engineering;https://www.youtube.com/watch?v=BHZALtqAjeM;License: Standard YouTube License, CC-BY