
Statics and Mechanics of Materials, Student Value Edition (5th Edition)
5th Edition
ISBN: 9780134382890
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14.4, Problem 55P
Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
y(0)=1,
Using Laplace transforms solve the following differential
equations :
11) y"-4y+4y=0,
12) y+2y+2y=0,
y(0)=2.1,
y'(0) = 3.9
y'(0)=-3.
13) y+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) +9y=10e.
y(0)=0,
y'(0) = 0.
15) y+3y+2.25y=91³ +64,
y(0)=1,
y'(0) = 31.5
16) -6y+5y= 29 cos(21),
y(0)=3.2,
y'(0)=6.2
17) "+2y+2y=0,
y(0)=0,
y'(0)=1.
18) +2y+17y=0,
y(0)=0,
y'(0)=12.
19) y-4y+5y=0,
y(0)=1,
y'(0) = 2.
20) 9y-6y+y=0,
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
4. Consider the rectangulan
2535
Let
16
a
and
section discussed
977b
+
class.
in
ie make a
M
thin"
rectangle, Can you
you show that
Q = Go {a² = x² } .
Imax =
2 Ga
ты
J =
1. Consider a
circular shaft in torsion
that
of radius r=b
has a key way
as shown,
circle of
radius a
Let us try the solution
x₁
(5,0) = k (6² = r²) (1- 2 awso
1.1 Does this solve the problem for the
stres rer
1,2 Solve for
is and 23.
Chapter 14 Solutions
Statics and Mechanics of Materials, Student Value Edition (5th Edition)
Ch. 14.3 - In each ease, the state of stress x, y, xy...Ch. 14.3 - Given the state of stress shown on the element,...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 2FPCh. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 4FPCh. 14.3 - The beam is subjected to the load at its end....Ch. 14.3 - Prob. 6FPCh. 14.3 - Prove that the sum of the normal stresses x+y=x+y...Ch. 14.3 - Determine the stress components acting on the...
Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 6PCh. 14.3 - Prob. 7PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 12PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine (a) the principal stresses and (b) the...Ch. 14.3 - Prob. 15PCh. 14.3 - Prob. 16PCh. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - Prob. 19PCh. 14.3 - Prob. 20PCh. 14.3 - Prob. 21PCh. 14.3 - The state of stress at a point in a member is...Ch. 14.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 14.3 - Prob. 24PCh. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - Prob. 27PCh. 14.3 - Prob. 28PCh. 14.3 - The beam has a rectangular cross section and is...Ch. 14.3 - A paper tube is formed by rolling a cardboard...Ch. 14.3 - Prob. 31PCh. 14.3 - The 2-in.-diameter drive shaft AB on the...Ch. 14.3 - Determine the principal stresses in the...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - Prob. 36PCh. 14.3 - The steel pipe has an inner diameter of 2.75 in....Ch. 14.3 - Prob. 38PCh. 14.3 - The wide-flange beam is subjected to the 50-kN...Ch. 14.3 - Prob. 40PCh. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.4 - Use Mohrs circle to determine the normal stress...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - Solve Prob. 142 using Mohrs circle. 14-2.Determine...Ch. 14.4 - Solve Prob. 143 using Mohrs circle. 143.Determine...Ch. 14.4 - Determine the stress components acting on the...Ch. 14.4 - Solve Prob. 1410 using Mohrs circle. 149.Determine...Ch. 14.4 - Solve Prob. 1415 using Mohrs circle. 1415.The...Ch. 14.4 - Solve Prob. 1416 using Mohrs circle....Ch. 14.4 - Prob. 49PCh. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine the equivalent state of stress if an...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stress and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Prob. 60PCh. 14.4 - The grains of wood in the board make an angle of...Ch. 14.4 - The post is fixed supported at its base and a...Ch. 14.4 - Determine the principal stresses, the maximum...Ch. 14.4 - The thin-walled pipe has an inner diameter of 0.5...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - Prob. 67PCh. 14.4 - The pedal crank for a bicycle has the cross...Ch. 14.4 - A spherical pressure vessel has an inner radius of...Ch. 14.4 - The cylindrical pressure vessel has an inner...Ch. 14.4 - Prob. 71PCh. 14.4 - Determine the principal stress at point D, which...Ch. 14.4 - If the box wrench is subjected to the 50 lb force,...Ch. 14.4 - If the box wrench is subjected to the 50-lb force,...Ch. 14.4 - Prob. 75PCh. 14.5 - Draw the three Mohrs circles that describe each of...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Determine the principal stresses and the absolute...Ch. 14.5 - Prob. 80PCh. 14.5 - Prob. 81PCh. 14.5 - Prob. 82PCh. 14.8 - Prove that the sum of the normal strains in...Ch. 14.8 - The state of strain at the point on the arm has...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - Prob. 88PCh. 14.8 - The state of strain at a point on the bracket has...Ch. 14.8 - Prob. 90PCh. 14.8 - Prob. 91PCh. 14.8 - Prob. 92PCh. 14.8 - Prob. 93PCh. 14.8 - Prob. 94PCh. 14.8 - Prob. 95PCh. 14.8 - Prob. 96PCh. 14.8 - Prob. 97PCh. 14.8 - The state of strain on the element has components...Ch. 14.8 - Solve Prob. 1486 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1487 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1488 using Mohrs circle. 1488.The...Ch. 14.8 - Solve Prob. 1491 using Mohrs circle. 1491.The...Ch. 14.8 - Solve Prob. 1490 using Mohrs circle. 1489.The...Ch. 14.11 - The strain at point A on the bracket has...Ch. 14.11 - The strain at point A on a beam has components...Ch. 14.11 - The strain at point A on the pressure-vessel wall...Ch. 14.11 - The 45 strain rosette is mounted on the surface of...Ch. 14.11 - Prob. 109PCh. 14.11 - Use Hookes law, Eq. 1432, to develop the strain...Ch. 14.11 - Prob. 111PCh. 14.11 - A rod has a radius of 10 mm. If it is subjected to...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The spherical pressure vessel has an inner...Ch. 14.11 - Determine the bulk modulus for each of the...Ch. 14.11 - The strain gage is placed on the surface of the...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - Prob. 119PCh. 14.11 - Prob. 120PCh. 14.11 - The cube of aluminum is subjected to the three...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 14.11 - Prob. 124PCh. 14 - The steel pipe has an inner diameter of 2.75 in....Ch. 14 - Prob. 2RPCh. 14 - Prob. 3RPCh. 14 - The crane is used to support the 350-lb load....Ch. 14 - In the case of plane stress, where the in-plane...Ch. 14 - The plate is made of material having a modulus of...Ch. 14 - If the material is graphite for which Eg = 800 ksi...Ch. 14 - A single strain gage, placed in the vertical plane...Ch. 14 - The 60 strain rosette is mounted on a beam. The...
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
- 3. - a For an elliptical cross that the tangent to section resultant shear can you s stress is show ellipse with the same 24 i ratio of eccentricity, in passes through to point alb that in question, it + Parrow_forward2. Consider the rod with an elliptical that strain 4 a Cross secton considered in class, Integrate the was displacement displacements, relations to obtain thearrow_forwardPlease answer Oxygen at 300 kPa and 90°C flowing at an average velocity of 3 m/s is expanded in an adiabatic nozzle. What is the maximum velocity of the oxygen at the outlet of this nozzle when the outlet pressure is 60 kPa? Use the table containing the ideal gas specific heats of various common gases. The maximum velocity of the oxygen at the outlet of this nozzle is 532.5 Numeric ResponseEdit Unavailable. 532.5 incorrect.m/s.arrow_forward
- A container filled with 70 kg of liquid water at 95°C is placed in a 90-m3 room that is initially at 12°C. Thermal equilibrium is established after a while as a result of heat transfer between the water and the air in the room. Assume the room is at the sea level, well sealed, and heavily insulated. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the amount of heat transfer between the water and the air in the room. The amount of heat transfer between the water and the air in the room is kJ.arrow_forwardA strain gauge rosette that is attached to the surface of a stressed component gives 3 readings (ɛa = A, b = B, &c = C). If the strain gauge rosette is of the D° type (indicating the angle between each of the gauges), construct a Mohr's Strain Circle overleaf. You should assume that gauge A is aligned along the x-axis. Using the Mohr's Strain Circle calculate the: (i) principal strains (ε1, 2)? (ii) principal angles (1, 2)? You should measure these anticlockwise from the y-axis. (iii) maximum shear strain in the plane (ymax)?arrow_forwardQ1. If the yield stress (σy) of a material is 375MPa, determine whether yield is predicted for the stresses acting on both the elements shown below using: (a) Tresca Criterion (b) Von Mises Criterion P Element A R S Element B Note: your values for P (vertical load on Element A) should be negative (i.e. corresponding to a compressive vertical load).arrow_forward
- Q. After a puncture a driver is attempting to remove a wheel nut by applying a force of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace is a hollow steel tube (see section aa) of internal diameter r mm and external diameter q mm. wheel nut n Position S P m r q Section aa Fig, 1 (a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear force in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress at position S. Note that the shear force will not produce any shear stress at S. (c) Calculate the maximum shearing stress in the brace at position S using the Maximum Shear Stress Criterion. 2 Mechanics of Materials 2 Tutorials Portfolio: Exercise 5 (d) If the maximum permissible shear stress in the steel is 200 MPa, determine the maximum torque that can be applied by the brace without the risk of failure at S.arrow_forwardCalculate the first 5 Fourier series coefficients (A0-4 and B1-5 ) for the estimated R wave.arrow_forwardRefrigerant-134a is expanded isentropically from 600 kPa and 70°C at the inlet of a steady-flow turbine to 100 kPa at the outlet. The outlet area is 1 m2, and the inlet area is 0.5 m2. Calculate the inlet and outlet velocities when the mass flow rate is 0.65 kg/s. Use the tables for R-134a. The inlet velocity is m/s. The outlet velocity is m/s.arrow_forward
- A container filled with 70 kg of liquid water at 95°C is placed in a 90-m3 room that is initially at 12°C. Thermal equilibrium is established after a while as a result of heat transfer between the water and the air in the room. Assume the room is at the sea level, well sealed, and heavily insulated. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the final equilibrium temperature. Use the table containing the ideal gas specific heats of various common gases. The final equilibrium temperature is °C.arrow_forwardSteam at 100 psia and 650°F is expanded adiabatically in a closed system to 10 psia. Determine the work produced, in Btu/lbm, and the final temperature of steam for an isentropic expansion efficiency of 80 percent. Use steam tables. The work produced is Btu/lbm. The final temperature of steam is °F.arrow_forwardComplet the solution : Vavg Ti Te Ts Q hexp Nuexp htheo Re Nutheo Error (m/s) (*C) (*C) (*C) (W) 2.11 18.8 21.3 45.8 2.61 18.5 20.8 46.3arrow_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 Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license