
Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7.1, Problem 1P
7.1 through 7.4 For the given state of stress, determine the normal and shearing stresses exerted on the oblique face of the shaded triangular element shown. Use a method of analysis based on the equilibrium of that element, as was done in the derivations of Sec, 7.1 A.
Fig. p7.1
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Air at T₁ = 24°C, p₁ = 1 bar, 50% relative humidity enters an insulated chamber operating at steady state with a mass flow rate of 3
kg/min and mixes with a saturated moist air stream entering at T2=7°C, p₂ = 1 bar. A single mixed stream exits at T3-17°C, p3=1 bar.
Neglect kinetic and potential energy effects
Hand calculation of cooling load
An HEV has a 24kW battery. How many miles can it go on electricity alone at 40 mph on a flat straight road with no headwind? Assume the rolling resistance factor is 0.018 and the Coefficient of Drag (aerodynamic) is 0.29 the frontal area is 2.25m^2 and the vehicle weighs 1618 kg.
Chapter 7 Solutions
Mechanics of Materials, 7th Edition
Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...
Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.17 and 7.18 The grain of a wooden member forms...Ch. 7.1 - 7.17 and 7.18 The grain of a wooden member forms...Ch. 7.1 - Two wooden members of 80 120-mm uniform...Ch. 7.1 - Two wooden members of 80 120-mm uniform...Ch. 7.1 - The centric force P is applied to a short post as...Ch. 7.1 - Two members of uniform cross section 50 80 mm are...Ch. 7.1 - The axle of an automobile is acted upon by the...Ch. 7.1 - A 400-lb vertical force is applied at D to a gear...Ch. 7.1 - A mechanic uses a crowfoot wrench to loosen a bolt...Ch. 7.1 - The steel pipe AB has a 102-mm outer diameter and...Ch. 7.1 - For the state of plane stress shown, determine the...Ch. 7.1 - For the state of plane stress shown, determine (a)...Ch. 7.1 - For the state of plane stress shown, determine (a)...Ch. 7.1 - Determine the range of values of x for which the...Ch. 7.2 - Solve Probs. 7.5 and 7.9, using Mohr's circle. 7.5...Ch. 7.2 - Solve Probs. 7.7 and 7.11, using Mohrs circle. 7.5...Ch. 7.2 - Solve Prob. 7.10, using Mohrs circle. 7.9 through...Ch. 7.2 - Solve Prob. 7.12, using Mohr's circle. 7.9 through...Ch. 7.2 - Solve Prob. 7.13, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.14, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.15, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.16, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.17, using Mohr's circle. 7.17 and...Ch. 7.2 - Solve Prob. 7.18, using Mohr's circle. 7.17 and...Ch. 7.2 - Solve Prob. 7.19, using Mohr's circle. 7.19 Two...Ch. 7.2 - Solve Prob. 7.20, using Mohr's circle. 7.20 Two...Ch. 7.2 - Solve Prob. 7.21, using Mohrs circle. 7.21 The...Ch. 7.2 - Solve Prob. 7.22, using Mohrs circle. 7.22 Two...Ch. 7.2 - Solve Prob. 7.23, using Mohr's circle. 7.23 The...Ch. 7.2 - Solve Prob. 7.24, using Mohr's circle 7.24 A...Ch. 7.2 - Solve Prob. 7.25, using Mohrs circle. 7.25 A...Ch. 7.2 - Solve Prob. 7.26, using Mohrs circle. 7.26 The...Ch. 7.2 - Solve Prob. 7.27, using Mohr's circle. 7.27 For...Ch. 7.2 - Solve Prob. 7.28, using Mohrs circle. 7.28 For the...Ch. 7.2 - Solve Prob. 7.29, using Mohr's circle. 7.29 For...Ch. 7.2 - Solve Prob. 7.30, using Mohrs circle. 7.30...Ch. 7.2 - Solve Prob. 7.29, using Mohr's circle and assuming...Ch. 7.2 - 7.54 and 7.55 Determine the principal planes and...Ch. 7.2 - 7.54 and 7.55 Determine the principal planes and...Ch. 7.2 - 7.56 and 7.57 Determine the principal planes and...Ch. 7.2 - 7.56 and 7.57 Determine the principal planes and...Ch. 7.2 - For the element shown, determine the range of...Ch. 7.2 - For the element shown, determine the range of...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, it is known that...Ch. 7.2 - The Mohr's circle shown corresponds to the state...Ch. 7.2 - (a) Prove that the expression xy 2xywhere x,...Ch. 7.5 - For the state of plane stress shown, determine the...Ch. 7.5 - For the state of plane stress shown, determine the...Ch. 7.5 - For the state of stress shown, determine the...Ch. 7.5 - For the state of stress shown, determine the...Ch. 7.5 - 7.70 and 7.71 For the state of stress shown,...Ch. 7.5 - 7.70 and 7.71 For the state of stress shown,...Ch. 7.5 - 7.72 and 7.73 For the state of stress shown,...Ch. 7.5 - 7.72 and 7.73 For the state of stress shown,...Ch. 7.5 - For the state of stress shown, determine the value...Ch. 7.5 - For the state of stress shown, determine the value...Ch. 7.5 - Prob. 76PCh. 7.5 - For the state of stress shown, determine two...Ch. 7.5 - For the state of stress shown, determine the range...Ch. 7.5 - Prob. 79PCh. 7.5 - Prob. 80PCh. 7.5 - The state of plane stress shown occurs in a...Ch. 7.5 - Prob. 82PCh. 7.5 - The state of plane stress shown occurs in a...Ch. 7.5 - Solve Prob. 7.83, using the...Ch. 7.5 - The 38-mm-diameter shaft AB is made of a grade of...Ch. 7.5 - Solve Prob. 7.85, using the...Ch. 7.5 - The 1.5-in.-diameter shaft AB is made of a grade...Ch. 7.5 - Prob. 88PCh. 7.5 - Prob. 89PCh. 7.5 - Prob. 90PCh. 7.5 - Prob. 91PCh. 7.5 - Prob. 92PCh. 7.5 - Prob. 93PCh. 7.5 - Prob. 94PCh. 7.5 - Prob. 95PCh. 7.5 - Prob. 96PCh. 7.5 - Prob. 97PCh. 7.6 - A spherical pressure vessel has an outer diameter...Ch. 7.6 - A spherical gas container having an inner diameter...Ch. 7.6 - The maximum gage pressure is known to be 1150 psi...Ch. 7.6 - Prob. 101PCh. 7.6 - Prob. 102PCh. 7.6 - A basketball has a 300-mm outer diameter and a...Ch. 7.6 - The unpressurized cylindrical storage tank shown...Ch. 7.6 - Prob. 105PCh. 7.6 - Prob. 106PCh. 7.6 - Prob. 107PCh. 7.6 - Prob. 108PCh. 7.6 - Prob. 109PCh. 7.6 - Prob. 110PCh. 7.6 - Prob. 111PCh. 7.6 - The cylindrical portion of the compressed-air tank...Ch. 7.6 - Prob. 113PCh. 7.6 - Prob. 114PCh. 7.6 - Prob. 115PCh. 7.6 - Square plates, each of 0.5-in. thickness, can be...Ch. 7.6 - The pressure tank shown has a 0.375-in. wall...Ch. 7.6 - Prob. 118PCh. 7.6 - Prob. 119PCh. 7.6 - A pressure vessel of 10-in. inner diameter and...Ch. 7.6 - Prob. 121PCh. 7.6 - A torque of magnitude T = 12 kN-m is applied to...Ch. 7.6 - The tank shown has a 180-mm inner diameter and a...Ch. 7.6 - The compressed-air tank AB has a 250-rnm outside...Ch. 7.6 - In Prob. 7.124, determine the maximum normal...Ch. 7.6 - Prob. 126PCh. 7.6 - Prob. 127PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - Prob. 130PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - Prob. 132PCh. 7.9 - Prob. 133PCh. 7.9 - Prob. 134PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - 7.136 through 7.139 The following state of strain...Ch. 7.9 - Prob. 137PCh. 7.9 - Prob. 138PCh. 7.9 - Prob. 139PCh. 7.9 - Prob. 140PCh. 7.9 - 7.140 through 7.143 For the given state of plane...Ch. 7.9 - Prob. 142PCh. 7.9 - Prob. 143PCh. 7.9 - Prob. 144PCh. 7.9 - The strains determined by the use of the rosette...Ch. 7.9 - Prob. 146PCh. 7.9 - Prob. 147PCh. 7.9 - Show that the sum of the three strain measurements...Ch. 7.9 - Prob. 149PCh. 7.9 - Prob. 150PCh. 7.9 - Solve Prob. 7.150, assuming that the rosette at...Ch. 7.9 - Prob. 152PCh. 7.9 - Prob. 153PCh. 7.9 - Prob. 154PCh. 7.9 - Prob. 155PCh. 7.9 - The given state of plane stress is known to exist...Ch. 7.9 - The following state of strain has been determined...Ch. 7 - A steel pipe of 12-in. outer diameter is...Ch. 7 - Two steel plates of uniform cross section 10 80...Ch. 7 - Prob. 160RPCh. 7 - Prob. 161RPCh. 7 - For the state of stress shown, determine the...Ch. 7 - For the state of stress shown, determine the value...Ch. 7 - The state of plane stress shown occurs in a...Ch. 7 - The compressed-air tank AB has an inner diameter...Ch. 7 - For the compressed-air tank and loading of Prob....Ch. 7 - Prob. 167RPCh. 7 - Prob. 168RPCh. 7 - Prob. 169RP
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
- As shown in the figure below, moist air at T₁ = 36°C, 1 bar, and 35% relative humidity enters a heat exchanger operating at steady state with a volumetric flow rate of 10 m³/min and is cooled at constant pressure to 22°C. Ignoring kinetic and potential energy effects, determine: (a) the dew point temperature at the inlet, in °C. (b) the mass flow rate of moist air at the exit, in kg/min. (c) the relative humidity at the exit. (d) the rate of heat transfer from the moist air stream, in kW. (AV)1, T1 P₁ = 1 bar 11 = 35% 120 T₂=22°C P2 = 1 bararrow_forwardThe inside temperature of a wall in a dwelling is 19°C. If the air in the room is at 21°C, what is the maximum relative humidity, in percent, the air can have before condensation occurs on the wall?arrow_forwardThe inside temperature of a wall in a dwelling is 19°C. If the air in the room is at 21°C, what is the maximum relative humidity, in percent, the air can have before condensation occurs on the wall?arrow_forward
- ###arrow_forwardFind the closed loop transfer function and then plot the step response for diFerentvalues of K in MATLAB. Show step response plot for different values of K. Auto Controls Show solution for transform function and provide matlab code (use k(i) for for loop NO COPIED SOLUTIONSarrow_forwardThis is an old practice exam. The answer is Ta-a = 4.615 MPa max = 14.20 MPa Su = 31.24 MPa Sus = 10.15 MPa but why?arrow_forward
- This is an old practice exam. The answer is dmin = 42.33 mm but how?arrow_forward5.) 12.124* - Block B (WB = 12 lb) rests as shown on the upper surface of wedge A (W₁ = 30 lb). The angle of the slope is 0 = 30°. Neglect friction, and find immediately after the system is released from rest (a) the acceleration of a (a) and (b) the acceleration of B relative to A (a B/A).arrow_forwardWhat is the Maximum Bending Moment induced in the following Beam, if? P = 19 KN L = 11 m Ensure that your answer is in kN.m. لا اللهarrow_forward
- What is the Magnitude of the Maximum Stress in the beam below if? W。 = 6 kN/m L = 9 m Beam width, b = 226 mm Beam Height, h = 273 mm Give your answer in MPa. A 233 B 4|3 Woarrow_forwardWhat is the Reaction Force induced in the following system at point A, if? W = 12 kN/m P = 35 kN L = 11 m Ensure that your answer is in kN. ولها A 4/2 ↓↓ P Barrow_forward180- Dimensions in mm 100 100 D E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam. PROBLEM 2.40 Solve Prob. 2.39, assuming that rod AC is made of brass and rod CE is made of steel. PROBLEM 2.39 Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E = 200 GPa and E, 105 GPa, determine (a) the reactions at A and E, (b) the deflection of point C. = R = 45.5 kN ← Aarrow_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