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
Textbook Question
Chapter 9.5, Problem 48P
The specimen represents a filament-reinforced matrix system made from plastic (matrix) and glass (fiber). If there are n fibers, each having a cross-sectional area of Af and modulus of Ef, embedded in a matrix having a cross-sectional area of Am and modulus of Em, determine the stress in the matrix and in each fiber when the force P is applied on the specimen.
Prob. 9-48
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
8-21. The 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. When the applied
load on the specimen is 50 kN, the diameter is 12.67494 mm.
Determine Poisson's ratio for the material.
8-22. The 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.
σ (MPa)
490
0.007
Probs. 8-21/22
€ (mm/mm)
F8-14. A solid circular rod that is 600 mm long and 20 mm
in diameter is subjected to an axial force of P- 50 kN. The
elongation of the rod is 8 - 1.40 mm, and its diameter
becomes d' - 19.9837 mm. Determine the modulus of
elasticity and the modulus of rigidity of the material.
Assume that the material does not yield.
P= 50 kN
600 mm
20 mm
P= 50 kN
Determine the maximum force P and the corre-
sponding maximum total strain energy that can be stored
in the truss without causing any of the members to have
permanent deformation. Each member of the truss has a
OW
diameter of 50 mm and is made of A-36 steel.
E-N
1.2 m
A
B
-0.9 m
-0.9 m-
VP
Chapter 9 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 9.2 - In each case, determine the internal normal force...Ch. 9.2 - Determine the internal normal force between...Ch. 9.2 - The post weighs 8 kN/m. Determine the internal...Ch. 9.2 - The rod is subjected to an external axial force of...Ch. 9.2 - The rigid beam supports the load of 60 kN....Ch. 9.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 9.2 - Prob. 2FPCh. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FPCh. 9.2 - Prob. 5FP
Ch. 9.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 9.2 - The A992 steel rod is subjected to the loading...Ch. 9.2 - The copper shaft is subjected to the axial loads...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The 2014-T6 aluminum rod has a diameter of 30 mm...Ch. 9.2 - The A-36 steel drill shaft of an oil well extends...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The rigid bur is supported by the pin-connected...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The coupling rod is subjected to a force of 5 kip....Ch. 9.2 - Prob. 17PCh. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The assembly consists of three titanium...Ch. 9.2 - The rigid beam is supported at its ends by two...Ch. 9.2 - Prob. 22PCh. 9.2 - The steel bar has the original dimensions shown in...Ch. 9.2 - Determine the relative displacement of one end of...Ch. 9.2 - Prob. 25PCh. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27PCh. 9.2 - The observation cage C has a weight of 250 kip and...Ch. 9.2 - Determine the elongation of the aluminum strap...Ch. 9.2 - The ball is truncated at its ends and is used to...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - Determine the support reactions at the rigid...Ch. 9.5 - If the supports at A and C are flexible and have a...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 9.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 9.5 - The 10-mm-diametcr steel bolt is surrounded by a...Ch. 9.5 - The assembly consists of two red brass C83400...Ch. 9.5 - The rigid beam is supported by the three suspender...Ch. 9.5 - Prob. 45PCh. 9.5 - If the gap between C and the rigid wall at D is...Ch. 9.5 - The support consists of a solid red brass C83400...Ch. 9.5 - The specimen represents a filament-reinforced...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The three suspender bars are made of A992 steel...Ch. 9.6 - The C83400-red-brass rod AB and 2014-T6-aluminum...Ch. 9.6 - The assembly has the diameters and material...Ch. 9.6 - The rod is made of A992 steel and has a diameter...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - Prob. 61PCh. 9.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 9.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 9.6 - The device is used to measure a change in...Ch. 9.6 - Prob. 65PCh. 9.6 - Prob. 66PCh. 9.6 - Prob. 67PCh. 9.6 - When the temperature is at 30C, the A-36 steel...Ch. 9.6 - The 50-mm-diameter cylinder is made from Am...Ch. 9.6 - The 50-mm-diametcr cylinder is made from Am...Ch. 9.6 - Prob. 71PCh. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - Prob. 74PCh. 9 - The assembly consists of two A992 steel bolts AB...Ch. 9 - The assembly shown consists of two A992 steel...Ch. 9 - The rods each have the same 25-mm diameter and...Ch. 9 - Two A992 steel pipes, each having a...Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The rigid link is supported by a pin at A and two...Ch. 9 - The joint is made from three A992 steel plates...
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
- 8-19. The two bars are made of polystyrene, which has the stress-strain diagram shown. Determine the cross-sectional area of each bar so that the bars rupture simultaneously when the load P- 13.5 kN. Assume that buckling does not occur. -1.2 m- a(MPa) 175 140 105 compression 70 35 Hptension (mm/um) 0.20 0.40 0.60 0.80arrow_forwardA bar having a length of 125 mm and cross-sectional area of 437.5 mm2 is subjected to an axial force of 40 kN. If 3-13. the bar stretches 0.05 mm, determine the modulus of elasticity of the material. The material has linear-elastic behavior. 40 kN 40 kN -125 mm Prob. 3–13arrow_forwardThe rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material. Complete solution if possible.arrow_forward
- 8-10. A bar having a length of 125 mm and cross-sectional area of 4375 mm² is subjected to an axial force of 40 kN. If the bar stretches 0.05 mm, determine the modulus of elasticity of the material. The material has linear-elastic behavior. 40 kN -125 mm 40 kNarrow_forwardThe vertical shaft with a diameter of d = 20 mm is supported by a thrust collar that rests on a 21-mm-thick plate. The thrust collar is 16-mm thick. Assume that the load P causes a compressive stress of 190 MPa in the shaft. If the bearing stress between the thrust collar and the plate is limited to 35 MPa, determine the minimum outer diameter Dcollar that must be used for the thrust collar. Thrust collar area Plate Thrust collar d Dcollararrow_forwardThe 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_forward
- The specimen represents a filament-reinforced matrix system made from plastic (matrix) and glass (fiber). If there are n fibers, each having a cross-sectional area of Af and modulus of Ef, embedded in a matrix having a cross-sectional area of Am and modulus of Em, determine the stress in the matrix and in each fiber when the force P is applied on the specimenarrow_forwardThe horizontal shaft with a diameter of d-41 mm is supported by a thrust collar that rests on a 31-mm-thick plate. The thrust collar is 24-mm thick. The thrust collar has an outer diameter of Dcollar - 64 mm. Determine the load P that causes an average shear stress of 89 MPa on the cylindrical surface of contact between the shaft and the thrust collar Thrust collar area P Thrust collar Plate d Dcollararrow_forwardThe rod of 120cm long and 18mm diameter subjected to axial pull of 18kN. If modulus of Diameter = 30mm Axial Pull =30kN Elasticity for rod is 2x105 N/mm2. Determine Stress Strain Elongation of rodarrow_forward
- The head H is connected to the cylinder of a compressor using six 316-in. diameter steel bolts. If the clamping force in each bolt is 800 lb, determine the normal strain in the bolts. If sY = 40 ksi and Est = 2911032 ksi, what is the strain in each bolt when the nut is unscrewed so that the clamping force is released?arrow_forwardThe assembly is used to support the 130-kg container having a center of mass at G. The spring has an unstretched length of 250 mm and stiffness of k = 300 kN/m. (Figure 1). Figure 3 m B Part C 2 m 0 2 m 1 of 1 μĂ Part A NB = 1765.8 Determine the heighth of the spring. Express your answer to three significant figures and include the appropriate units. h = 246 mm Submit ✓ Correct Correct answer is shown. Your answer 246.076 mm was either rounded differently or used a different number of significant figures than required for this part. Part B Previous Answers Determine the reaction at the roller A. Express your answer to three significant figures and include the appropriate units. μА NA = 2501.55 Determine the reaction at the roller B. Express your answer to three significant figures and include the appropriate units. Submit Previous Answers Request Answer N N X Incorrect; Try Again; 3 attempts remaining = ? Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts…arrow_forward5. The rigid bar is supported by a smooth pin and two rods as shown. Neglect the weight of the rigid bar. The assembly is initially stress-free. Determine the stress in each rod if the temperature increases by 25°C after a load W = 100 kN is applied. The steel rod has an area of 320 mm² with a = 11.7 µm/ (m°C) and E = 200 GPa. For the bronze rod, it has an area of 1380 mm² with a = 18.9 μm/ ( mºC) and E = 83 GPa. Bronze 3 m Steel 1.5 m 1.0 m - O k 2.5 m 1.5 m W 6. Three wires are used to support the 150-lb force. The wires AB and AC are made of steel, and wire AD is made of copper. Assume that the three wires have constant cross-sectional area A = 0.0123 in². For steel wire, a = 8 x 106 in/ (inºF) and E = 29000 ksi and for copper wire, a = 9.6 x 10-6 in/ (inºF) and E = 17000 ksi. Calculate the axial force exerted by the three wires if the temperature is raised by 80°F. Answer: Pst = 10 lb, Pcu = 136 lb B D 40 in. 60 in. 45°-45° 60 in. A 150 lbarrow_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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY