For the state of plane stress given, determine the principal planes, the principal stresses and the maximum shear stress. Also find the stress components on the element after it is rotated by 20 degree clockwise. 2. For the state of plane stress given, determine the principalplanes, the principal stresses and the maximum shear stress.Also find the stress components on the element after it isrotated by 20° clockwise.100 MPa50 MPa60 MPa

givenstress in x direction σx=100MPa tensile stress in y direction σy=-60MPa compressive shear…

2. For the state of plane stress given, determine the principal planes, the principal stresses and the maximum shear stress. Also find the stress components on the element after it is rotated by 20° clockwise. 100 MP 50 MPa 60 MPa

2. For the state of plane stress given, determine the principal planes, the principal stresses and the maximum shear stress. Also find the stress components on the element after it is rotated by 20° clockwise. 100 MP 50 MPa 60 MPa

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 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

See similar textbooks

Related questions

Q: For the state of stress given in the Figure below determine the following: 1. the principal stresses…

A: Given:σx=18 MPaσy=-14 MPaζxy=12 MPa

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 block is subjected to the stresses as shown in Fig. 1. If the allowable compressive normal stress…

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

Q: The state of plane stress at a point is shown on the element in Fig. 9–19a. Determine a) the maximum…

Q: The state of stress in two-dimensionally stressed body at a point is as shown in Fig. Determine the…

Q: The principal tensile stress at a point across two mutually perpendicular planes are 100 N/mm2 and…

A: Write the given data with suitable variables: σx=σ1=100 N/mm2σy=σ2=40 N/mm2θ=20°

Q: Stress Transformation & Mohrs Circle Consider a stress point in a structural member that is…

A: Given data: σx=60 MPaσy=90 MPaτxy=30 MPa Need to determine the principal stresses and maximum shear…

Q: Determine the minor principal stress and position of the principal plane when a block is subjected…

Q: Ql: For the Figure shown below, determine (a) the principal stresses and show them on a sketch of a…

Q: Q1: A certain point in the mechanical part shown in Figure below. Use Mol determine: (a) the…

A: Givenσx=60 MN/m2=60MPaσy=-50MN/m2=-50MPaτxy=30MN/m2=30MPa

Q: The state of plane stress at a point with respect to the xy-axes is shown in Fig. (a). Using Mohr's…

A: Calculated the principal stress and principal planes, maximum in-plane shear stress and calculated…

Q: If the principal stresses in a plane stress problem, are o1 = 100 MPa, o2 = 40 MPa, the magnitude of…

Q: Given the following state of stress where dx = 50 MPa, oy = 0 MPa, Txy = 0 MPa, (i) draw Mohr's…

A: To draw : The Mohr's circle. Given : The Normal stress in x direction is σx=50 MPa. The Normal…

Q: Determine the principal planes and the principal stresses for the state of plane stress resulting…

A: Given: The stress in X direction in 1st state of stress is σ1x = 35 MPa. The stress in Y direction…

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: Q2: For the stresses at the point shown, find: The maximum shearing stress. • The principal stresses…

A: To Find : the maximum shearing stress the principal stresses and planes Given : stress acting…

Q: Bi-axial state of stress at a point is shown below. What will be the value of principal stresses and…

A: From the given figure, σx = 100 MPa σy = 80 MPa τxy = 50 MPa

Q: Q.1) For the state of stress shown below, use stress transformation equations to determine the…

Q: For the shown element, what are the principal stresses and their orientations (ew, cew), draw the…

A: (a) To find: The principle stress and the orientation of principle stress Given: The stress in…

Q: (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b)…

Q: For the following state of stress given the magnitudes of stress(1), stress(2) and stress(3) are 7.4…

A: Given data:

Q: The figure depicts the state of plane stress at a point. Sketch Mohr's circle for stress. Indicate…

Q: For the state of plane stress shown in Fig. determine (a) the princi-pal planes, (b) the principal…

A: σx=50MPaσY=-10 MPaτxy=40 MPa (a) the principal planes…

Q: QITHE state of plane stress at a point is represented by the stress element below: A. Draw the…

Q: For the state of plane stress shown below, determine the principal stresses, the maximum in- plane…

Q: A block is subjected to the stresses as shown in Fig. 1. If the allowable compressive normal stress…

Q: 3. For the given state of stress, determine the principal planes, the principal stresses, and…

Q: The state of plane stress at a point is represented by the stress element below. Determine the…

Q: QI/ For the state of plane stress shown below, construct a Mohr's circle and determine (a) the…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Determine the minor principal stress and position of the principal plane when a block is subjected…

A: given data: stress in x direction(σx)=100MPa(tensile)stress in y direction…

Q: the normal stress using Mohr's circle

A: Given: X = 7 ksi and Y = 35 ksi To determine: The normal stress using Mohr's circle

Q: Q4- Draw Mohr's circle for the case as seen in Fig. 4. Determine the principal stresses and the…

A: According to the given information we have stress in x-direction and stress in the y-direction and…

Q: Draw Mohr's circle for the state of stress Shown in Fig.Q2. From the drawing, determine the…

A: Consider the figure: Given: σx=0σy=-45 MPaζxy=35 MPa

Q: For the element shown below, determine: 1- The principal stresses and the maximum in-plane shear…

A: A perpendicular force applied on a body per unit area is referred to as stress. There are three…

Q: Determine the equivalent state of stress on an element at the same point which represents the…

A: find the normal stress on the element with orientation 31.7 °.

Q: For the state of stress shown in the figure, determine the stress component Txy so that the maximum…

Q: QI) Determine the magnitude and the location of the principal stresses for the state of plane stress…

A: Given data To determine magnitude and location of the principal stresses for the state of plane…

Q: For the following state of stress, 48 MPa 16 MPa 60 MPa Find: i. The principal planes ii. The…

A: Given data: σx=16 MPaσy=-48 MPaτxy=60 MPa Need to determine the principal plane, principal stress,…

Q: For the state of plane stress, stress components are shown on the element in Figure Question 1: a)…

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

Q: An element in plane stress is subjected to stresses o, = -60 MPa, oy = -40MPA, and Ty = 35MPA, as…

Q: 50 MPа B 80 MРа 80 MPа A 25 MPа 50 MPа

Q: Determine (a) the principal stresses and (b) the maximum shear stress and associated normal stress…

Q: The state of stress at a point 0 in a loaded member relative to the X, Y and Z axes is as below.…

Q: Q2) A state of plane stress is given by g =- 32MPA, g = 16MPa and Txy = 10MPA. Use Mohr's stress…

A: Given Normal stress at X axis = 32MPa Normal Stress at Y axis = 16MPa Shear stress = 10MPa To find…

Q: Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20…

A: A) To Draw : The Mohr's circle for this stress combination. Given: The major principal stress…

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

For the state of plane stress given, determine the principal planes, the principal stresses and the maximum shear stress. Also find the stress components on the element after it is rotated by 20 degree clockwise.

2. For the state of plane stress given, determine the principal
planes, the principal stresses and the maximum shear stress.
Also find the stress components on the element after it is
rotated by 20° clockwise.
100 MPa
50 MPa
60 MPa

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

-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.
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10
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.
The polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and = -120 psi, as shown by the plalte-stress element in the figure part a. Determine the normal and shear stresses acting on a seam oriented at an angle 01300 to the element, as shown in the figure part b. Show these stresses on a sketch of an element having its sides parallel and perpendicular to the seam.
The stresses at a point in a bar are 200 N/mm2 (tensile) and 80 N/mm2 (compressive). Determine the resultant stress in magnitude and direction on a plane inclined at 60° to the axis of the major stress. Also determine the maximum intensity of shear stress in the material at the point.
At a point in a strained material the principal stresses are 200 N/mm2 (tensile) and 120 N/mm2 (compressive). Determine the normal stress, shear stress and resultant stress on a plane inclined at 30° to the axis of major principal stress. Also determine the maximum shear stress at the point.
The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 50 MN/m2 tension respectively. The shear stress across these planes is 30 MN/m? (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 30° to the plane of greater principal stress. And also verify the answer by drawing the Mohr's circle.
Given are the major and minor principal stresses at any point within a rock massσ1 = 50 MPa and σ3 = 20 MPaDetermine graphically the magnitude of the stress components acting on a plane that is inclined at an angle of 250to the major principal plane
2. The Principal stresses at a point across two perpendicular planes are 90MN/m² (tensile) and 40MN/m² (compressive). The shear stress across these planes is 25 MN/m² (counter clockwise). Find the normal, tangential and the resultant stress & its inclination on a plane making an angle of 35° with the plane of first stress.
At a point, the normal and shear stresses acting on one plane are 90 kPa compression and 30 kPa respectively. On a perpendicular plane, the normal and shear stress combination is 30 kPa compression and 30 kPa. a) draw the element b) draw Mohr's circle c) determine the value of the principal stresses d) find the angle between the plane on which the 90 kPa compressive stress acts and the maximum principal plane e) what is the maximum shear stress acting at the point and what is the value of normal stress acting on the plane where the shear is maximum?
Direct stresses of 160N/mm2 tensile and 120 N/mm2 compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm2. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?