Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.4, Problem 1P
A tension test was performed on a steel specimen having an original diameter of 0.503 in. and gage length of 2.00 in. The data is listed in the table. Plot the stress–strain diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the fracture stress. Use a scale of 1 in. = 20 ksi and 1 in. = 0.05 in./in. Redraw the elastic region, using the same stress scale but a strain scale of 1 in. = 0.001 in./in.
| Load (kip) | Elongation (in.) |
| 0 | 0 |
| 1.50 | 0.0005 |
| 4.00 | 0.0015 |
| 8.00 | 0.0025 |
| 11.00 | 0.0035 |
| 11.80 | 0.0050 |
| 11.80 | 0.0080 |
| 12.00 | 0.0200 |
| 16.60 | 0.0400 |
| 20.00 | 0.1000 |
| 21.50 | 0.2800 |
| 19.50 | 0.4000 |
| 18.50 | 0.4600 |
Prob. 8–1
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
diagram and determine approximately the modulus of
elasticity, the yield stress, the ultimate stress, and the fracture
2.00 in. The data is listed in the table. Plot the stress-strain
8-1. A tension test was performed on a steel specimen
n original diameter of 0.503 in. and gage length of
PROBLEMS
*84.
origi
the f
having an
for t
and
stress. Use a scale of 1 in.
Dodraw the elastic region, using the same stress scale but a
20 ksi and 1 in. = 0.05 in./in.
strain scale of 1 in.= 0.001 in./in.
Load (kip) Elongation (in.)
0.
0.
0.0005
0.0015
1.50
4.60
8.00
11.00
0.0025
0.0035
0.0050
11.80
11.80
0.0080
0.0200
12.00
16.60
0.0400
0.1000
0.2800
20.00
21.50
19.50
18.50
0.4000
0.4600
Prob. 8-1
A tensile test specimen has a gage length = 3.0 in and
diameter 0.75 in. Yielding occurs at a load of 38,000 lb. The
corresponding gage length = 3.0103 in (neglect the 0.2 percent
yield point). The maximum load of 54,000 lb is reached at a gage
length = 3.453 in. Determine the modulus of elasticity (neglect
the 0.2% offset, and round to the nearest whole Msi).
37
The principal plane stresses and associated strains in a
35 ksi, 02 = 15 ksi,
plane at a point are 01
1
€1 = 1.02(10-3), 2 = 0.180(10-³).
▼
Determine the modulus of elasticity.
Express your answer using three significant figures and include the appropriate units.
E=
Submit
Part B
V=
μA
Value
Request Answer
Submit
Determine the Poisson's ratio.
Express your answer using three significant figures.
ΠΑΠΙ ΑΣΦ | Η
VE
Units
Request Answer
?
vec
POSSIA
space
?
Chapter 8 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 8.4 - Define a homogeneous material.Ch. 8.4 - Prob. 2FPCh. 8.4 - Prob. 3FPCh. 8.4 - Prob. 4FPCh. 8.4 - Prob. 5FPCh. 8.4 - As the temperature increases the modulus of...Ch. 8.4 - Prob. 7FPCh. 8.4 - Prob. 8FPCh. 8.4 - Prob. 9FPCh. 8.4 - Prob. 10FP
Ch. 8.4 - The material for the 50-mm-long specimen has the...Ch. 8.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 8.4 - A tension test was performed on a steel specimen...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Prob. 4PCh. 8.4 - The stress-strain diagram for a steel alloy having...Ch. 8.4 - Prob. 6PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 9PCh. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - Prob. 12PCh. 8.4 - A bar having a length of 5 in. and cross-sectional...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - Prob. 16PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.6 - A 100 mm long rod has a diameter of 15 mm. If an...Ch. 8.6 - A solid circular rod that is 600 mm long and 20 mm...Ch. 8.6 - Prob. 15FPCh. 8.6 - Prob. 16FPCh. 8.6 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 8.6 - The plug has a diameter of 30 mm and fits within a...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The brake pads for a bicycle tire arc made of...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - Prob. 27PCh. 8.6 - The shear stress-strain diagram for an alloy is...Ch. 8.6 - Prob. 29PCh. 8 - The elastic portion of the tension stress-strain...Ch. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - The stress-strain diagram for polyethylene, which...Ch. 8 - The pipe with two rigid caps attached to its ends...Ch. 8 - Prob. 9RPCh. 8 - Prob. 10RP
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
- The steel bolt and anchor assembly is used to reinforce the roof of a passageway in an underground coal mine. In installation, the bolt is tensioned to 5,500 lb. Calculate the stress, strain, and extension of the bolt with length I= 39 in. if it is formed from 1045 steel alloy. Coal seam Passageway in. Roof line (Express your answer using three significant figures.) |ksi (Express your answer using two significant figures.) |×10-4 (Express your answer using whole numbers.) mils AL = %3Darrow_forwardA tensile specimen havign a diameter of 6 mm and a gauge length of 50 mm was tested to fracture and the stress-strain diagram is show. Poisson's ratio of material, v = 0.3 Determine the load P that the sample is subjected to when a stress of 300 MPa is applied. What is the instantaneous diameter of the sample given a longitudinal strain of 0.002?arrow_forwardNatural rubber is tested in tension to a maximum extension ratio of λ = 3. The Mooney-Rivlin constants for this material are found to be C1 = 0.069 MPa and C2 = 0.125 MPa. Plot the corresponding uniaxial stress vs. extension ratio behavior over the tested range. Derive an expression for the slope of the function, then determine the secant and tangent moduli at 100% strain.arrow_forward
- A tensile test specimen has a gage length = 3.0 in and diameter 0.75 in. Yielding occurs at a load of 38,000 lb. The corresponding gage length 3.01 03 in (neglect the 0.2 percent yield point). The maximum load of 54,000 lb is reached at a gage length 3.453 in. Determine the tensile strength (round to the nearest whole Ksi) 38arrow_forwardRemake the diagram for this problem. Empasize the area of 1,2,3, 4 and refer to the solution. No need to solve. Just the diagramarrow_forward3. The elastic portion of the stress-strain diagram for a titanium alloy used for medical implants shown. The specimen from which it was obtained has an original diameter of 10 mm and a gage length of 45 mm. If a tensile load of P = 300 kN is applied to the specimen. Take Poisson ration 0.3. a) determine specimen's new length after deformation. b) determine specimen's new diameter after deformation. Make sure to include the calculation for all steps including E and longitudinal and lateral strains MPa 700 600 500 400 300 200 100 E 10-3 10 15 (Ans:lnew - 46.718mm, Dnew - 9.885mm, ) for tregtingarrow_forward
- In a standard tensile test a steel rod of 7/8 in. in diameter is subjected to a tension force of 17 kips. Determine the ratio of the shear modulus to the modulus of elasticity of a material whose Poisson's ratio is 0.25.arrow_forwardElectrical strain gauges were applied to a notched specimen to determine the stresses in the notch. The results were ex = 0.0019 and ey = -0.00072. Find ox and ay if the material is carbon steel.arrow_forwardA tensile test specimen of 1045 hot-rolled steel having a diameter of 0.505 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the modulus of elasticity. Stress (ksi) 240 200 160- 120- 80 40- 0+ 0 0 Upper scale O 79100 ksi E O 94000 ksi O 86700 ksi O 63200 ksi O 51900 ksi Lower scale. 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.002 0.004 0.006 0.008 0.010 0.012 0.014 Strain (in./in.)arrow_forward
- Using the Maximum Strain Criterion, determine the uniaxial failure stress, Ox, for off-axis loading of the unidirectional laminar in Fig. if the material is AS/3501 graphite/epoxy and the angle 0=30 .arrow_forwardFind the strain proportions (ɛ1:E2:E3) that existed in a forming process where O3= 0. Also specify two conditions that can be used the stresses are 01 02=01/3 , to describe the deformation process.arrow_forwardThe stress strain curve determined from a sample of material is shown in the figure. The original diameter was 14.3 mm and it changed to 14.28858 when a 43.5 kN load was applied. Calculate Poisson's ratio for the sample. o (MPa) 550 400 0.00275 Poisson's ratio v = 0.0arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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