Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.2, Problem 4.29P
The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN, determine the change in its length and its new cross-sectional dimensions at section a–a. Est = 200 GPa, Vst = 0.29.
Prob. 4–23
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The assembly consists of three titanium (Ti-6A1-
4V) rods and a rigid bar AC. The cross-section area
of each rod is given in the figure. If a force of 60 kip
is applied o the ring F, determine the horizontal
displacement of point F.
Hint: Refer to the textbook appendix for material
properties.
AEF 2 in² 1 ft
=
60 kip F-2 ft-
2 ft
A
C
6 ft
B
AAB
=
1 in²
E
ACD = 1.5 in²
6 ft
D
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)
The solid circular rod has a cross-sectional
area of 460 mm². It is subjected to a uniform
axial distributed loading along its length of w
8 kN/m. Two concentrated loads also act on
the rod: P = 3 kN and Q = 6 kN. Determine the
normal stress in the rod at x = 1.5 m. Assume a
= 0.7 m and b = 1.2 m.
W
->P
Q
A
B
x
a
Answer: 0 =
i
MPa
b
Chapter 4 Solutions
Mechanics of Materials (10th Edition)
Ch. 4.2 - In each case, determine the internal normal force...Ch. 4.2 - Determine the internal normal force between...Ch. 4.2 - The post weighs 8kN/m. Determine the internal...Ch. 4.2 - The rod is subjected to an external axial force of...Ch. 4.2 - The rigid beam supports the load of 60 kN....Ch. 4.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 4.2 - Segments AB and CD of the assembly are solid...Ch. 4.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 4.2 - If the 20-mm-diameter rod is made of A-36 steel...Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...
Ch. 4.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 4.2 - The A992 steel rod is subjected to the loading...Ch. 4.2 - The copper shaft is subjected to the axial loads...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - The composite shaft, consisting of aluminum,...Ch. 4.2 - The 2014-T6 aluminium rod has a diameter of 30 mm...Ch. 4.2 - The A-36 steel drill shaft of an oil well extends...Ch. 4.2 - The truss is made of three A-36 steel members,...Ch. 4.2 - The truss is made of three A-36 steel members,...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The assembly consists of two 10-mm diameter red...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The load is supported by the four 304 stainless...Ch. 4.2 - The rigid bar is supported by the pin-connected...Ch. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The post is made of Douglas fir and has a diameter...Ch. 4.2 - The coupling rod is subjected to a force of 5 kip....Ch. 4.2 - The pipe is stuck in the ground so that when it is...Ch. 4.2 - The is made of three pin-connected A992 steel...Ch. 4.2 - The linkage is made of three pin connected A992...Ch. 4.2 - The assembly consists of three titanium...Ch. 4.2 - The rigid beam is supported at its ends by two...Ch. 4.2 - The rigid beam is supported at its ends by two...Ch. 4.2 - The steel bar has the original dimensions shown in...Ch. 4.2 - Determine the relative displacement of one end of...Ch. 4.2 - The assembly consists of two rigid bars that are...Ch. 4.2 - The truss consists of three members, each made...Ch. 4.2 - Solve Prob. 426 when the load P acts vertically...Ch. 4.2 - The observation cage C has a weight of 250 kip and...Ch. 4.2 - The steel bar has the original dimensions shown in...Ch. 4.2 - The ball is truncated at its ends and is used to...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The column is constructed from high-strength...Ch. 4.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - If column AB is made from high strength precast...Ch. 4.5 - Determine the support reactions at the rigid...Ch. 4.5 - If the supports at A and C are flexible and have a...Ch. 4.5 - The load of 2000 lb is to be supported by the two...Ch. 4.5 - The load of 2000 lb is to be supported by the two...Ch. 4.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 4.5 - The assembly consists of two red brass C83400...Ch. 4.5 - The rigid beam is supported by the three suspender...Ch. 4.5 - The bolt AB has a diameter of 20 mm and passes...Ch. 4.5 - If the gap between C and the rigid wall at D is...Ch. 4.5 - The support consists of a solid red brass C83400...Ch. 4.5 - If there are n fibers, each having a...Ch. 4.5 - The rigid bar is pinned at A and supported by two...Ch. 4.5 - The rigid bar is pinned at A and supported by two...Ch. 4.5 - The rigid bar is pinned at A and supported by two...Ch. 4.5 - The rigid bar is pinned at A and supported by two...Ch. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 4.5 - The three suspender bars are made of A992 steel...Ch. 4.5 - The three A-36 steel wires each have a diameter of...Ch. 4.5 - The A-36 steel wires AB and AD each have a...Ch. 4.5 - The post is made from 6061-T6 aluminum and has a...Ch. 4.5 - The post is made from 6061-T6 aluminum and has a...Ch. 4.5 - The bracket is held to the wall using three A-36...Ch. 4.5 - The bracket is held to the wall using three A-36...Ch. 4.5 - If each of the posts has an unloaded length of 1 m...Ch. 4.5 - The rigid bar is supported by the two short white...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The assembly consists of two posts AB and CD each...Ch. 4.5 - The wheel is subjected to a force of 18 kN from...Ch. 4.6 - The C83400-red-brass rod AB and 2014-T6- aluminum...Ch. 4.6 - The assembly has the diameters and material...Ch. 4.6 - The rod is made of A992 steel and has a diameter...Ch. 4.6 - The two cylindrical rod segments are fixed to the...Ch. 4.6 - The two cylindrical rod segments are fixed to the...Ch. 4.6 - The pipe is made of A992 steel and is connected to...Ch. 4.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 4.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 4.6 - The device is used to measure a change in...Ch. 4.6 - The bar has a cross-sectional area A, length L,...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - When the temperature is at 30C, the A-36 steel...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The 50-mm-diameter cylinder is made from Am...Ch. 4.6 - The wires AB and AC are made of steel, and wire AD...Ch. 4.6 - The cylinder CD of the assembly is heated from T1...Ch. 4.6 - The cylinder CD of the assembly is heated from T1=...Ch. 4.6 - The metal strap has a thickness t and width w and...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - If the allowable normal stress for the bar is...Ch. 4.9 - The steel bar has the dimensions shown. Determine...Ch. 4.9 - The A-36 steel plate has a thickness of 12 mm. If...Ch. 4.9 - Determine the maximum axial force P that can be...Ch. 4.9 - Determine the maximum normal stress developed in...Ch. 4.9 - The member is to be made from a steel plate that...Ch. 4.9 - The resulting stress distribution along section AB...Ch. 4.9 - The resulting stress distribution along section AB...Ch. 4.9 - Prob. 4.96PCh. 4.9 - The weight is suspended from steel and aluminum...Ch. 4.9 - The bar has a cross-sectional area of 0.5 in2 and...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The distributed loading is applied to the rigid...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The rigid lever arm is supported by two A-36 steel...Ch. 4.9 - The 300-kip weight is slowly set on the top of a...Ch. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - The rigid beam is supported by three 25-mm...Ch. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - The rigid beam is supported by the three posts A,...Ch. 4.9 - The bar having a diameter of 2 in. is fixed...Ch. 4.9 - Determine the elongation of the bar in Prob.4108...Ch. 4.9 - The rigid beam is supported by three A-36 steel...Ch. 4 - The assembly consists of two A992 steel bolts AB...Ch. 4 - The assembly shown consists of two A992 steel...Ch. 4 - The rods each have the same 25-mm diameter and...Ch. 4 - Two A992 steel pipes, each having a...Ch. 4 - The force P is applied to the bar, which is made...Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 4 - The rigid link is supported by a pin at A and two...Ch. 4 - 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
- Mechanics Of Materials Iarrow_forwardA solid stepped bar is made of steel (E = 29 x 10³ ksi, v=0.25) and is fixed on both ends by rigid walls. if the resultant normal force in section AB is NAB=1 in section BC is Ngc = (R₁-27) lb, and in section CD is NCD= (RA+13) lb. =RAlb, for L-3 in, D-14 in, d-0.5 in. determine the reaction force R.[lb] (sign sensitive) dia=0 FBD B P1 dia=0 B dia=d L 3L P1 dia - D C dia=d P2 dia=0 Cr P2 L-31 - D D. R₁arrow_forwardThe solid circular rod has a cross-sectional area of 420 mm². It is subjected to a uniform axial distributed loading along its length of w = 5 kN/m. Two concentrated loads also act on the rod: P = 6 kN and Q = 4 kN. Determine the normal stress in the rod at x = 0.1 m. Assume a = 0.5 m and b = 0.9 m. W >P MPa a Answer: 0= i B barrow_forward
- The solid circular rod has a cross-sectional area of 410 mm². It is subjected to a uniform axial distributed loading along its length of w = 9 kN/m. Two concentrated loads also act on the rod: P = 3 kN and Q = 5 kN. Determine the normal stress in the rod at x = 0.5 m. Assume a = 0.7 m and b = 1.3 m. A B MPa x a Answer: 0 = i barrow_forward1-103. The bar is supported by the pin. If the allowable tensile stress for the bar is (o)allow = 150 MPa, and the allowable shear stress for the pin is Tallow = 85 MPa, determine the diameter of the pin for which the load P will be a maximum. What is this maximum load? Assume the hole in the bar has the same diameter d as the pin. Take 1 = 6 mm and w = 50 mm.arrow_forward9-15. The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN. determine the change in its length and its new cross-sectional dimensions at section aa. E-200 GPa,-029. 50 AN SOLN -20 mm mm s50 mm 50 mm 50 kN 200 mmarrow_forward
- The solid circular rod has a cross-sectional area of 470 mm². It is subjected to a uniform axial distributed loading along its length of w = 8 kN/m. Two concentrated loads also act on the rod: P = 5 kN and Q = 7 kN. Determine the normal stress in the rod at x = 1.4 m. Assume a = 0.5 m and b = 1.2 m. A -> a Answer: 0 = i B W b C MPa Qarrow_forward1–1. The shaft is supported by a smooth thrust bearing at B and a journal bearing at C. Determine the resultant internal loadings acting on the cross section at E. Problem 1–1arrow_forwardThe rod BD is made of material with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at point B, the tube made of material with G2=211 GPa has an outer diameter 73 mm and wall thickness of 10 mm. If T1=579 N.m and T2=1042 N.m, answer the following questions: The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is Your answer The angle of twist between C and B is Your answer The reaction at point A isarrow_forward
- The solid circular rod has a cross-sectional area of 310 mm². It is subjected to a uniform axial distributed loading along its length of w= 11 kN/m. Two concentrated loads also act on the rod: P = 5 kN and Q = 6 kN. Determine the normal stress in the rod at x = 1.7 m. Assume a = 0.7 m and b = 1.4 m. A a Answer: 0 = i B b C MPaarrow_forwardThe bar is connected to the support using a pin having a diameter of d = 1 in. If the allowable tensile stress for the bar is 1st2allow = 20 ksi, and the allowable bearing stress between the pin and the bar is 1sb2allow = 30 ksi,determine the dimensions w and t so that the gross area of the cross-section is wt = 2 in2 and the load P is a maximum. What is this maximum load? Assume the hole in the bar has the same diameter as the pin.arrow_forwardProblem 2. The assembly consists of three titanium (Ti- 6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. If a force of 6 kip is applied to the ring F, determine the horizontal displacement of point F, and determine the angle of tilt of rigid bar AC. B D 4 ft ACD = 1 in² AAB 6 ft 1.5 in² E 2 ft 1 ft 1 ft AEF = 2 in² 6 kiparrow_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
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