
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
Question
Chapter 14.3, Problem 17P
(a)
To determine
Find the principal stresses.
(b)
To determine
Find the maximum in-plane shear stress.
Find the average normal stress.
Specify the orientation of the principal stresses.
Specify the orientation of the maximum in-plane shear stress.
Sketch the results on the element.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 4 inch wide, 12 inch tall cross section beam is subjected to an internal shear of 5.5 kips. What is the maximum transverse shear stress in the beam in psi if this bending is about the x axis?
A Brayton cycle produces 14 MW with an inlet state of 17°C, 100 kPa, and a compression ratio of 16:1. The heat added in the combustion is 960 kJ/kg. 0.7 MW of heat transferred from the turbine to the environment. What are the highest temperature and the mass flow rate of air? Assume cold air properties.
. A gas turbine with air enters the compressor at 300 K, 1 bar, and exits from the turbine at 750 K, 1 bar. The thermal efficiency of the cycle is 40.1% and the back work ratio (BWR) is 0.4. Find the pressure ratio of the cycle. Assume variable specific heat.
Chapter 14 Solutions
Statics and Mechanics of Materials (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
- A regenerative gas turbine power plant is shown in Fig. below. Air enters the compressor at 1 bar, 27°C with a mass flow rate of 0.562 kg/s and is compressed to 4 bar. The isentropic efficiency of the compressor is 80%, and the regenerator effectiveness is 90%. All the power developed by the high-pressure turbine is used to run the compressor. The low-pressure turbine provides the net power output. Each turbine has an isentropic efficiency of 87% and the temperature at the inlet to the highpressure turbine is 1200 K. Assume cold air properties, determine: a. The net power output, in kW. b. The thermal efficiency of the cycle.arrow_forwardFor tixed inlet state and exit pressure, use a cold-air standard analysis to show that the pressure ratio across the two compressor stages that gives nunimum work input is:=)) k/(k-1) when Ta Ti, where Ta is the temperature of the air entering the second stage compressor and Pi is the intercooler pressure. Put the suitable assumptionsarrow_forwardDerive the equation below ah ap ax 12μ ax, +( ah ap ay 12μ ay Where P P (x, y) is the oil film pressure. 1..ah 2 axarrow_forward
- Can you determine the eignevalues by hand?arrow_forwardMonthly exam 13 2021-2022 Power plant Time: 1.5 Hrs Q1. A The gas-turbine cycle shown in Fig. is used as an automotive engine. In the first turbine, the gas expands to pressure Ps, just low enough for this turbine to drive the compressor. The gas is then expanded through the second turbine connected to the drive wheels. The data for the engine are shown in the figure, and assume that all processes are ideal. Determine the intermediate pressure Ps, the net specific work output of the engine, and the mass flow rate through the engine. Find also the air temperature entering the burner T3 and the thermal efficiency of the engine. Exhaust Air intake Φ www Regenerator www Bumer Compressor Turbine Power turbine et 150 kW Wompressor P₁ = 100 kPa T₁ = 300 K PP₁ =60 P-100 kPa T₁ = 1600 K Q2. On the basis of a cold air-standard analysis, show that the thermal efficiency of an ideal regenerative gas turbine can be expressed as 77 = 1- where - () () гp is the compressor pressure ratio, and T₁ and…arrow_forwardI need to find m in R = mD from the image given. Do you really need to know what R and D is to find R. I was thinking geometrically we can find a relationship between R and D. D = R*cos(30). Then R = mD becomes m = R/D = 1/cos(30) = 1.1547. Is that correct?arrow_forward
- Q1] B/ (16 Marks) To produce a lightweight epoxy part to provide thermal insulation. The available material are hollow glass beads for which the outside diameter is 1.6 mm and the wall thickness is 0.04 mm. Determine the weight and number of beads that must be added to the epoxy to produce a 0.5 kg of composite with a density of 0.65 g/cm³. The density of the glass is 2.5 g/cm³ and that of the epoxy is 1.25 g/cm³.arrow_forwardBelow is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions. The distance R is related to the distance D such that R = md. Determine m.arrow_forwardBelow is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions. Determine I_aa ( moment of inertia) for direction n_a (this is a unit vector).arrow_forward
- The problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially. 6₁ Assume a mass distribution such that J =₁₁• B* •b₁ = 450 kg - m² I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m² K J-I C³ =r₁₁ = r₁₁arrow_forwardThe problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially. 6₁ Assume a mass distribution such that J =₁₁• B* •b₁ = 450 kg - m² I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m² K J-I C³ =r₁₁ = r₁₁arrow_forwardThe problems are generally based on the following model: A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6, are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₂ = ĉ₁ = b; initially. 6₁ Assume a mass distribution such that J =₁₁• B* •b₁ = 450 kg - m² I = b² •Ï¾˜ • b₂ = b¸ •Ï¾* •b¸ = 200 kg - m² K J-I C³ =r₁₁ = r₁₁arrow_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