Answered: In a plane stress condition, the…

In a plane stress condition, the components of stress at point are ox = 20 MPa, ơy = 80 MPa and txy = 40 MPa. The maximum shear stress ( in MPa) at the point is

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.10P: Solve the preceding problem if the normal and shear stresses acting on element B are 56 MPa, 17 MPa,...

See similar textbooks

Related questions

Q: Neglecting the weight of the bracket, calculate the three principal stresses, and absolute maximum…

Q: 3. If o, = 30 ksi, o, = 20 ksi, and ty = 10 ksi, what is the maximum in-plane shear stress in ksi? →…

A: Given:σx=30 ksiσy=20 ksiζxy=10 ksi

Q: Oy Txy

A: given; normal stress in x direction =σxnormal stress in y direction =σyshear stress in xy…

Q: The major and minor principal stresses are 3 MPa and -3MPA respectively. The maximum shear stress at…

A: Given data : Major principal stress=3 MPaMinor principal stress=-3 MPa

Q: A roadway sign weighs 5.4 kN and is supported by a structural pipe that has an outside diameter of…

Q: A roadway sign that weighs Py = 11 kN is supported by a structural pipe with an outside diameter of…

Q: The invariants of a stress system at any point are 1 = -2 MPa, I2 = -15 MPa and I3 = 0 MPa Find…

A: Given Data : Invariants of stress system are :σx=I1=-2 Mpaσy=I2=-15 Mpaζxy=I3=0 Mpa

Q: 6. In a plane stress condition, the components of stress at a point are o, =20 MPa, oy =80 MPa and…

Q: The stal block Shown below is Subjected to a normal stress Of 100 Mea and 85 MPa Aogether with a…

Q: A same circular plate with radius of Ro-560mm and thickness of h=7.42mm is considered here again.…

Q: Neglecting the weight of the bracket, calculate the three principal stresses, and absolute maximum…

Q: Q2. A mild steel shaft transmits 'P' kW at 'N' r.p.m. It carries a central load of 900 N and is…

A: Shaft is a rotating element that transmit power and rotation.

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

A: Calculated the principal stresses and maximum in-plane shear stress and calculated the smallest…

Q: A mild steel shaft transmits 21 kW at 250 r.p.m. It carries a central load of 900 N and is simply…

A: Given Data Power transmit, P=21KW N=250 rpm Load, P=900N Allowable shear stress, T=42MPa

Q: If the principal stresses in a plane stress problem are ơ1 = 100 MPa, ơ2 = 40 MPa, the magnitude of…

A: Write the given values along with suitable variables.

Q: Q3. A thin rectangular plate of thickness t is subjected to stresses that can be represented by the…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

Q: The Cartesian components of stress at a point are 0x = 15 Oy = 0₂ = 8, - Txy = 6, Tyz = 4, Txz = 4…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

A: The stepwise procedure to solve this problem is shown in the following attached image:

Q: A typical aluminum-allóy scuba diving tank is shown in thế ngure. The outside diameter óf the tank…

A: Solution:

Q: The principal stresses at a point are : 40 MPa, 30 MPa and - 20 MPa. Calculate per unit volume the…

A: We know the main stresses at a place are known to be 40 MPa, 30 MPa, and -20 MPa. Total strain…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

A: Note: Dear Student! As per our guidelines, we are only allowed to answer three sub-parts of a…

Q: A same circular plate with radius of Ro-560mm and thickness of h=7.42mm is considered here again.…

Q: Q.1) For the given state of stress at a point (Normal stresses are 200 & 150 MPa, and Shear stress…

A: Given data:6x=-200MPa6y=-150MPa → compressive normal stressτxy=100MPaθ=30°To find:1) Normal…

Q: Q4: For the following state of stresses, find 1- principal stresses. 2. Principal direction 3.…

Q: The stresses on an element are o, = -300 psi and o „=-600 psi. Find the maximum shear stresses on…

Q: 1. Calculate the maximum stresses to occur in the hole and groove (groove) areas in the plate below,…

A: Given, Applied load (F)=5000N Width of the plate=200mm The thickness of the plate (t)= 25mm Diameter…

Q: The Mohr's circle for a point near the base of a traffic pole is shown below. the center of the…

A: Consider the diagram shown below for the given Mohr’s circle.

Q: At a point in an elastic material under strain, the stresses on the three mutually perpendicular…

A: Given: Normal tensile and shear stress on one plane are 60 N/mm2 and 40 N/mm2. Normal tensile and…

Q: Show the derivation of the girth and longitudinal stresses of the thin-walled cylindrical container…

Q: h G bị Q4) For the given system; a) Draw internal force diagrams and determine the most critical…

Q: What is the absolute maximum shear stress in [MPa] of the generalised plane stress shown with Oz =…

Q: Oy Ot Txy a Tnt Ox On (b) (a) On the surface of a structural member, stresses are given as ox=67,9…

A: Given data: The stress in x-direction is σx=67.9 MPa The stress in y-direction is σy=25.5 MPa The…

Q: Neglecting the weight of the bracket, calculate the three principal stresses, and absolute maximum…

Q: The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa and txy = 100 MPa The…

A: Data given- σx = -200 MPa, σy = 100 MPa txy = 100 MPa

Q: Neglecting the weight of the bracket, calculate the three principal stresses, and absolute maximum…

Q: 3. At the point labeled A in the bracket below, the stresses are og = 4.8 ksi, o, = -1.2 ksi and Ty…

Q: 3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an…

Q: Find the maximum shear stress at a plane if the major and minor principal stresses at a point are 3…

Q: Calculate the normal stress and shear stress acting on the plane 2x+y+2z=1 passing thorough a point…

A: given; plane ;2x+y+2z=1stress at point (σ)=162022000023

Q: 2.6. The principal stresses at a given point are ơ1 =10 ksi, o2 =5 ksi. Sketch Mohr's circle for…

A: givenσ1=10ksiσ2=5ksi

Q: An element in plane stress is subjected to stresses: 0, = 17 MPa, o, = 12 MPa, and Txy = 15MPa, as…

Q: Determine the absolute maximum shear stress of the stress state acting on the element shown in the…

Q: At a particular point in a structural member a two-dimensional stress system exists where Or = 60…

Q: Explain the method of representing the combination of normal and shear stresses acting on any plane…

A: Let us take an incremental stressed element from any member.

Q: Find maximum shear stress Maximum principal stress-8 MPa Minimum principal stress=3 MPa

A: Given data : Maximum principal stress=σ1 Minimum principal stress=σ2 To find : Maximum shear…

Q: P, P. P,

A: given:

Q: Q2) For the state of plane stress given on the element below, construct a Mohr's circle. Use circle…

Question

In a plane stress condition, the components of stress at point are ox = 20 MPa, ơy =
80 MPa and Txy = 40 MPa. The maximum shear stress (in MPa) at the point is

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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

.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
Solve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.
The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.
An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (sec figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element oriented at a clockwise angle of 40g from the horizontal. Show these stresses on a sketch of an element oriented at this angle.
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.