Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 10.21SP
A 12.5-mm-diameter steel rod was subjected to a tension test. After rupture, it was determined that the original 50-mm gage length had elongated to 60.7 mm. The minimum diameter at the fracture point was measured to be 10.7 mm. Compute the percent elongation and percent reduction in area.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents 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
The table below shows the deformation data that resulted from applying a pure tensile load to a
brass alloy rod with an initial length of 30 mm and a diameter of 10 mm. This rod was subjected
to necking and beyond necking deformation. The data at fracture is shown in the last row.
Applied Load (N) Length (mm) Diameter (mm)
75,100
33.8
68, 250
34.9
50,200
35.7
6.7
Solve for the TRUE STRESS/ES and TRUE STRAINS.
8.3
7.8
A tensile test specimen of stainless steel alloy having a diameter of 0.495 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 true fracture stress if the final diameter of the specimen at the
location of the fracture was 0.350 in.
Stress (ksi)
120
Upper scale
Lower scale
H
0.0 0.020 0.040 0.060 0.080 0.100 0.120
0.0 0.002 0.004 0.006 0.008 0.010 0.012
Strain (in./in.)
90
60
30
0-
300 ksi
O 126 ksi
EA
O 237 ksi
O 202 ksi
O 261 ksi
Chapter 10 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 10 - A 916 - in. - diameter steel rod is tested in...Ch. 10 - A concrete cylinder 150 mm in diameter was tested...Ch. 10 - Prob. 10.3PCh. 10 - The data from the tension test of a steel specimen...Ch. 10 - An 18-in.-long titanium alloy rod is subjected to...Ch. 10 - ASTM A36 steel rods are used to support a balcony....Ch. 10 - A 450-mm-long AISI 1020 steel rod is subjected to...Ch. 10 - A tension member in a roof truss is composed of...Ch. 10 - A short, solid, compression member of circular...Ch. 10 - A main cable in a large bridge is designed for a...
Ch. 10 - Test results of a steel specimen indicated an...Ch. 10 - A concrete canoe in storage is supported by two...Ch. 10 - A load is applied to a rigid bar that is...Ch. 10 - Prob. 10.14CPCh. 10 - Write a program that will allow a user to input...Ch. 10 - A 12 - in. - diaiíct.cr structural nickel steel...Ch. 10 - Compute the modulus of elasticity of a copper...Ch. 10 - A concrete cylinder 6 in. in diameter was tested...Ch. 10 - An aluminum bar 2 in. by 12 - in. in cross section...Ch. 10 - During a tensile test of a steel specimen, the...Ch. 10 - A 12.5-mm-diameter steel rod was subjected to a...Ch. 10 - Prob. 10.22SPCh. 10 - A standard steel specimen having a diameter of...Ch. 10 - 10.24 A tension member in a structure is composed...Ch. 10 - A pair of wire cutters is designed to operate...Ch. 10 - Calculate the end bearing length required for a...Ch. 10 - Design a 3-m-long rod subjected to a tensile load...Ch. 10 - The collar bearing shown is subjected to a...Ch. 10 - A 10-ft-long steel member is subjected to a...Ch. 10 - Two steel bars A and B support a load P, as shown....Ch. 10 - Prob. 10.31SP
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
- Remake 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_forwardAn eight-inch-long steel has a cross section area of 0.25 in2. After a load of 5000 lbs has been applied, the length is found to be 8.0065 in. What is the unit deformation induced? Select one: a. 0.00081 b. 0.00041 c. 0.0081 d. 0.004arrow_forwardDetermine the percentage of elongation for a tensile specimen of the length of 55 mm and the final length at fracture 66 mm.arrow_forward
- In tensile test a plain carbon steel specimen has a (40mm) gauge length and the Final area (A final) of specimen after tensile test was 264.327. The load which caused fracture was (122.5 KN). After fracture, the final length was 47.516mm True stress at fracture is. * O 463.441 N/mm2, O 525.441 N/mm2, O 254.441 N/mm2, 498.441 N/mm2,arrow_forwardA bar made of carbon-steel of size 12mm x 20mm has a yield stress of 400 MPa and ultimate tensile strength of550 MPa. Tha gauge length of the specimen tested under tension loading is 350mm. a. Determine its elongation when a tension load of 75 KN is applied. b. Determine the maximum load the bar can take before it fractures. Take Youngs Modulus of steel as 200,000 MPaarrow_forwardA tensile test specimen of stainless steel alloy having a diameter of 0.495 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 proportional limit. Stress (ksi) 40 30- 20 10- 0- 0.0 0.0 Upper scale 0.020 0.002 22 ksi O 15 ksi E 19 ksi O 10 ksi 13 ksi Lower scale- 0.040 0.060 0.080 0.100 0.004 0.006 0.008 0.010 Strain (in./in.) 0.120 0.012arrow_forward
- The brass has a shear modulus (G) of 40 GPa. In the torsion test calculated results. (G) was found to be 37 830 MPa. What is the percentage of errors in the experiment? Select one: O a. 0.05425% O b. 5.425% O c. 3.779% Od. 0.54%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 ultimate strength. Stress (ksi) 60 50- 40- 30- 20 10- 0 0 0 Upper scale O 66 ksi 28 ksi O 72 ksi O 53 ksi O 62 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_forwardThe brass has a shear modulus (G) of 40 GPa. In the torsion test calculated results, (G) was found to be 37 830 MPa. What is the percentage of errors in the experiment? Select one: a. 0.54% O b. 5.425% c. 0.05425% O d. 3.779%arrow_forward
- A tension test was performed on a steel specimen having an original diameter of 12.5 mm and gauge length of 50 mm. 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 rupture stress. Use a scale of 25 mm = 140 MPa and 25 mm = 0.05 mm/mm. Redraw the elastic region, using the same stress scale but a strain scale of 25 mm = 0.001 mm/mm.arrow_forwardAt the proportional limit, a 18 mm thick 84 mm wide bar elongates 6.9 mm under an axial load of 495 kN. The bar is 1.4 m long. If Poisson's ratio is 0.3 for the material, determine the change in width (in mm) of the bar. Hint: Your answer will be in the format: -X.XXXX Note: Do not include units in your answer. Answer: -1,479arrow_forwardIn 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_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
Understanding Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license