For the stress state shown. Ox = 40 MPa MPa Oy = 80 MPa Txy %3D 65 Oy Txy Using Mohr's Circle, a) Find the principle stresses and draw the stress state in the principle orientation b) Find the maximum in-plane shear stress and draw the stress state in the maximum in-plane shear stress orientation

For the stress state shown. Ox = 40 MPa MPa Oy = 80 MPa Txy %3D 65 Oy Txy Using Mohr's Circle, a) Find the principle stresses and draw the stress state in the principle orientation b) Find the maximum in-plane shear stress and draw the stress state in the maximum in-plane shear stress orientation

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 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

See similar textbooks

Related questions

Q: What are the equation used for part a)? for the axial stress, why do we not use Axial Stress =…

Q: below, find the maximum shear stress and maximum normal stress

A: to find Maximum shear stress and maximum bending stress.

Q: Homework: For the element shown find 1) Principle stresses and their direction 2) Shear stresses and…

A: (1) To find : The principle stress and their direction. Given data : The normal stress in X…

Q: What is the true stress?

A: Need to find True stress.

Q: the associated normal stresses and show the results

Q: Rod AB is fixed at side A with a length of 500m and a diameter of 20m. On side B, the rod…

Q: 4. Show that Cp = as +45°. principal strain and shear strain

A: from strain formula's we need to prove

Q: The maximum in-plane shear stress occurs on a plane that is 45° away from the principal planes. The…

Q: In the figure, the normal stresses oa = 70 MPa, o, = 50 MPa, oc = 110 MPa on the faces of the…

A: Given that, σa=70 MPa,σb=50 MPa,σc=110 MPa,α=60°,β=45°, The general form of the equation of stress…

Q: Find the approximate prime plane in degrees for the state of stress given in the figure. 45 MP 00…

A: Given: Normal stress in x-direction σx=100 MPa. Normal stress in y-direction is σy=60 MPa. Shear…

Q: In an elastic body system, a point has the following state of stress components, Oxx = 16 kPa, Oyy =…

Q: On the surface of a structural member, stresses are given as ox=67,9 MPa, oy=25,5 MPa and Ty=-24,3…

Q: The state of stress at a point is Ox=-10 kpsi, oy=10 kpsi, az=-20 kpsi, Txv=D5 kpsi, Tyz= 2 kpsi,…

Q: Tyx Figure 1 Point A- x-direction stress 60MPA(compression), y-direction stress 40MPA(tension),…

Q: the 62 MPa stress level what would be the total creep after 500 hours? Consider that t cerial is…

Q: Ox+0y , Ox-Oy Plane-stress transformation: 0r, =· 2 -cos20 + Txysin20 Txryı 2 sin20 + TxyC0s20 2…

A: Given:σx=0σy=-25 Ksiζxy=12…

Q: The stress at a point of a machine component are 200MPa tensile and 100MPa compressive. Using Mohr’s…

A: Given: σx=200 MPaσy=-100 MPaτxy=0θ=30°

Q: A state of stress at a point A is given by ox = 50 MPa, oy = -25 MPa, and txy = -100 MPa. What is…

A: Please see the below explanation;

Q: 1 MPa 2- For the state of stress as shown below 2 MPa a) Find principal stresses З МРа b) Draw…

A: Given:σx=3 MPaσy=1 MPaζxy=2 MPa

Q: The true stress (0), true strain (s) diagram of a strain hardening material is shown in figure.…

Q: Consider the following plane stress state: Ox= 10 kpsi, oy 24 kpsi, Txy= 6 kpsi ccw Calculate the…

Q: The principal stresses at a point in a critica section of a machine component are o, = 60 MPa a, =5…

A: Given:σ1=60 MPaσ2=5 MPaσ3=-40 MPaσy=200 MPa

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

Q: A state of stress at a point A is given by ox 210 MPa, oy = -140 MPa, and txy = 95 MPa. What is the…

A: Given, σx=210 MPaσy=-140 MPaτxy=95 MPa

Q: The principal stresses at a point in a solid are o,=56Mpa, o,=35Mpa, and o3=14Mpa. Using Mohr's…

Q: For the stress states listed below, find the largest principal normal Ox = 244 MPa, Oy = 76 MPa, Txy…

A: The step by step solution is given below, σx =244 MPa σy =76 MPa τxy= 249 MPa

Q: The state of stress at a point under plane stress — 40 MPа, Суу condition is Oxx 3D 100 MPа and Txy…

A: Given, Stress in x-direction = σx = 40 MPa Stress in y-direction = σy = 100 MPa Shear stress in x-y…

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

A: The normal stress after rotation is given by- σn=σx+σy2+σx-σy2cos2α+τxysin2α In first case - σx=67…

Q: P = 80 kN σt = 150 MPa t = 8.0782 mm Can you help me solve for d2?

Q: . An element in the boiler is triaxially stressed, the stresses distribution is given by (see Figure…

Q: Part-A (Theoretical & Mathematical Problem) For the following state of stress, (a) using the general…

A: (a) Write the given stresses from the diagram. σx=20 ksiσy=-10 ksiτxy=-12 ksi Write the angle…

Q: A thin plate is subjected to certain boundary conditions on its thin edges leading to the stress…

Q: Find the principal normal stresses and their directions that will occur in case of stress in the…

Q: At a point in a material, the principal stresses are 800 N/cm² and 300 N/cm² where both are tensile.…

Q: A point on the surface of a mechanical component has the following state of plane stress o. = 90…

A: Given:- σx=90 MPaσy= -50 MPaτxy= 60 MPaTo find:-a) Draw mohrs circleb) Principal stresses and…

Q: For the stress state: Oz = 30 ksi, oy = 40 ksi, Try = -10 ksi a. Find the principal stresses and…

Q: Consider the following plane stress state: Oх- 40 MPа, дy- 30 МРа, Тҳу— 20 MРа ссw Calculate the…

Q: Format TL GyabGSkin -a-0630b/a) 60 MPa 45 MPa My 100 MPа 100MPA w-, cos20 + tysin20, oun =% * °%,…

A: Given Data The stress acting in x direction is: σx=100 MPa. The stress acting in y direction is:…

Q: Q3: A state of plane stress case where the normal stress is of ox , Oy and shown in fig . At a…

Q: Question: Find schematically the normal and shear stresses in the plane when the element in the…

Q: 5.2 cm in thickness, find the rock's tensile strength (6t) and bending strength (F).

Q: Assume the plane stress state: o1 = 0, 02 = 20, t12 = 15 (all stresses in ksi). If oz alone is…

A: Given σ1 = 0 ksi σ2 = 20 ksi τ12 = 15 ksi To find Magnitude of σ2 for maximum shear stress is 20 ksi

Q: For a plane stress state, in the original Oxy system we know the component o = 120 MPa and try = 60…

A: Given data:-σx=120MPa, τxy=60MPa, τx'y'=-60MPa, θ=45°(in CCW direction)There is a general expression…

Q: principle planes are planes ich are separated by 30 where When the shear stress is not zero When the…

A: The principle planes are two planes which are separated by 90° where the principle stresses occur.…

Q: Consider the following plane stress state: Ox= -4 MPa, oy 12 MPa, Txy=7 MPa ccw Calculate the…

A: Calculated the centre coordinate of the mohr circle. and calculated principal stress and maximum…

Q: e stress at a point of a machine component are 200MPa tensile and 100MPa compressive. Using Mohr’s…

Q: A plane stress state is given by the principal stresses σx =25 MPa and σy= -11 MPa. Determine σx' in…

A: Given data: σx=25 MPaσy=-11 MPaθ=30° Need to determine the value of σx' in the case that the system…

Q: 4. The general stress element is loaded such that ox = 30 MPa, oy = -20 MPa, Txy = 5 MPa. Using…

Q: 1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear…

A: a) The given values are - σx= 60MPa , τxy=40 MPa , σy= 0 The principal stresses are given by - σ1,…

Question

For the stress state shown.
Ox = 40 MPa
MPa
Oy =
80
MPa
Txy
%3D
65
Oy
Txy
Using Mohr's Circle,
a) Find the principle stresses and draw the stress state in the principle orientation
b) Find the maximum in-plane shear stress and draw the stress state in the maximum in-plane shear
stress orientation

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 6 images

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

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.
-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
-4. - An element in plane stress is subjected to stresses ??x= 105 MPa, ??y= 75 MPa, and sxy= 25 MPa (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.
An element of aluminum is subjected to tri-axial stresses. Calculate the strains in the element in x, y, and z directions lithe stresses axayand az are -2000 psi, 3500 psi, and 2700 psi, respectively. Assume E = 10,000 ksi and v = 0.33. Also, find the unit volume change of the element.
.4-2 An element in uniaxial stress is subjected to tensile stresses sx= 57 MPa. as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at an angle 0 = 33° from the x axis (minus means clockwise). (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented 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.
An element in plane stress is subjected to stresses sx= -5500 psi, sy= -2000 psi, and Tx. = 1900 psi (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.
The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa and txy= 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa?
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
Solve the preceding problem for sx= 11 MPa and ??y= -20 MPa (see figure).
At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle Bv