A structural member is subjected to the plane stress condition.The state of stress at a point of the member is shown in the figure.45 MP(1) Draw the Mohr's circle for this 2D state of stress.(2) Determine the principal stresses, the maximum in-plane shearstresses and associated normal stresses acting at this point,(3) Represent these critical stresses on new stress elements, andindicate the angles of rotation of the new stress elements withrespect to the original stress elements.25 MP

Answered: Image /qna-images/answer/a0c6989f-be45-4309-bbf8-4b5fefc5471f.jpg

Answered: or this 2D state of stress. stresses,…

or this 2D state of stress. stresses, the maximum in-plane shear al stresses acting at this point. stresses on new stress elements, and

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The stress state at a point of a structure is shown in the figure below. Determine: (a) The stresses…

A: Given σx=45 MPaσy= 20 MPaζxy=50 MPa To find Stresses for element at 15o Principal stress

Q: Suppose that o, = 170 kPa and oy = 620 kPa Determine the equivalent state of stress on an element at…

A: Given data: The stress in x-direction, σx = 170 kPa. The stress in y-direction, σy = 620 kPa. The…

Q: 2.2. The stress at a point is defined by the components Oxy =7 ksi, oyy=10 ksi, Ory =-20 ksi. Sketch…

A: givenσXX=7ksiσyy=10ksiσxy=σyx=-20ksi

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

A: Part a): From the given data, the stresses in the respective directions are identified as, σx=-2150…

Q: The planar element in Figure 1 is subjected to stresses. Accordingly, find (a) principal stresses…

A: (a) The principle stresses, On solving, The direction of principle stress,

Q: 2. Assume the plane stress state: ơ1 = 50, 02 = -250, T12 = 150 (all stresses in MPa). 2.1. Sketch…

A: σ1=50MPa σ2=-250MPa τ12=150MPa To Find Mohr's Circle Principal stress and their direction Maximum…

Q: Question 5 A cylinder filled with oil is under pressure from a piston, as shown in figure 5. The…

A: Given data: d=48 mmF=16 kNτmax=42 MPa Need to determine the minimum permissible thickness of the…

Q: QUESTION 1 (a) The state of stresses at a point in a loaded structure is shown in Figure QI(a).…

A: Given: σy =30 MPa σZ = 120 MPa τyz = 70 MPa Abs. max. shear stress; τmax =? First of all find,…

Q: Problem 1: Given the 2D states of plane stress below, determine the principal stresses (0₁, 0₂) and…

Q: Consider the plane stress element shown in representing the state of stress at a material point. If…

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

Q: and shear stresses acting on one plane are 8000 psf compression and 2000 psf, respectively. On a…

Q: A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the…

A: Now we have the moment equation asMx=16×510-11×230=5630kN.mm=5.63kN.mMy=-20×510=-10200 kN.mm=-10.2…

Q: 3. For the state of stress shown below, calculate the principal stresses and maximum shear stress.

A: σx = 90 Mpa σy = -60 Mpa Txy = 20 Mpa

Q: How many independent stress components are needed to define the stress state of a point in 3-D?

Q: 10 MPа 4 ksi 10 MPа 4 ksi 10 MPа 2 ksi

A: Mohr circle is a graphical method to determine principal stresses. It's plotted on a graph between…

Q: ew Policies urrent Attempt in Progress Consider a point in a structural member that is subjected to…

Q: Besides normal tensile stress, list three other types of material stresses? Are these typically all…

A: Stress: Stress is defined as the internal resistance per unit area of cross-section. There are…

Q: The more severe the change in geometry, the larger the stress concentration. Is it true or false?…

A: Stress concentration is a location in a member under load where the magnitude of stress is…

Q: Explain the deconvolution of the principal stress state into the hydrostatic and deviatoric stress…

Q: What is the maximum in-plane shear stress for the given state of stress? Express your answer with…

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

Q: tical planes at the point are Sx = 0 MPa, Sy = 54 MPa, and Sxy = 17 MPa. w Mohr's circle for this…

Q: In the picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”.…

A: Sy=400 MPa

Q: Problem 2: A state of plane stress at a point on the surface of a structure consists of the…

A: Givenσx=18ksiσy=24ksiτxy=15ksi

Q: Determine (a) the principal stresses, and (b) the maximum in-pla he associated average normal…

A: To Find : The principal stress. Given : The axial stress in x direction is σx=-140MPa The shear…

Q: Consider a metal rod with a critical resolved shear stress of 40 MPa for a specific crystallographic…

A: Given:The critical resolved shear stress = The angle between the normal to the plane and the applied…

Q: Es atmospheric. Determine (a) the radial and tangential stress distribut across the the thickness,…

A: a = 8cm, b=12cm, Pb = -0.09MPa

Q: The state of stress at a point in a structure is shown in the following figure. Determine: (a) The…

Q: Part B - Clockwise Rotation of a Stress Element with Only One Normal Stress The state of stress at a…

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

Q: Why do we define engineering and true stresses for tension/compression loading but not for shear…

A: Engineering stress: It is the stress based on the initial or original cross sectional area (Ao)…

Q: For the stress state shown in the figure below, use the Mohr’s circle method to determine (a) the…

A: This is a case of pure shear,therefore, Radius of the mohr circle…

Q: The diagram below shows Mohr’s circle for a point in a physical object that is subjected to plane…

A: first of all find the stress components with the help of given scale 1grid square = 5 ksi. then use…

Q: The stress state at a point of a structure is shown in the figure below. Determine: (a) The stresses…

A: The value of normal and shear stress at plane oriented at 15° from x-axis in counter clockwise…

Q: How is parabolic shear-stress distribution and Linear normal stress distribution created?

A: The parabolic shear stress distribution is mainly observed in transverse shear stress cases.…

Q: Problem 6. Consider the following stress state: [6 4 01 [a] 4 12 0 ksi Lo 0 6] Determine the…

A: Given: σ=6404120006 ksi Young's Modulus ,E=10000 ksi Poisson Ratio ν=0.25

Q: A steel rails have a small gap between them to allow thermal expansion. If the length of each steel…

Q: When a homogeneous isotropic material is subjected to a state oftriaxial stress, the strain in each…

A: In a homogeneous material, all the properties are the same at each and every point of the material.…

Q: Q= 50 MPa, Tx= 30 MPa, %3D Oy= 80 MPa,

Q: Can you help me with this problem, please: At a material point in plane stress it is known that…

A: Magnitude of principal stresses:The principal stresses can be determined using the stress…

Q: Calculate the maximum tensile stress in a plate subjected to a remote loading of P. The plate has a…

A: Given data: The stress concentration, kt = 2.5. The thickness of the plate, t = 1 cm. The width of…

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

A: given; stress in x direction(Sx)=41MPastress in y direction(Sy)=11MPashear stress in xy plane…

Q: Consider the 2-D state of stress shown below. Using the provided scales graph the Mohr's Circle for…

A: Solution: All the parts have been answered below with necessary explanation:

Question

A structural member is subjected to the plane stress condition.
The state of stress at a point of the member is shown in the figure.
45 MP
(1) Draw the Mohr's circle for this 2D state of stress.
(2) Determine the principal stresses, the maximum in-plane shear
stresses and associated normal stresses acting at this point,
(3) Represent these critical stresses on new stress elements, and
indicate the angles of rotation of the new stress elements with
respect to the original stress elements.
25 MP

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 with 2 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

Consider the state of plain “stress" for the following element. Derive the parametric value for the out of plane "strain" component. Applied tractions B A
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S=600 psi, Sy = 2900 psi, and S 790 psi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g, see Fig. 12.15 or Fig. 12.16) (d) Determine the absolute maximum shear stress at the point. Sy Part 1 Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: psi R = psi
Q5: At a point in a strained material the stresses acting on planes at right angles to each other are o, 30, MN/m² tensile, together with associated shear stresses which assumed clockwise in effect on oy plane. If the maximum principal stress is limited to 1002 MN/m² tensile, and xy-60 MN/m², calculate: (a) the magnitude of the o, and oy; (b) the values of the maximum and minimum principal stresses; (c) the directions of the principal planes; (d) the maximum shear stress.
The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 14.9 N is applied to the rod. The cross-sectional area is 1.1 mm². Calculate the shear stress along the close-packed direction. Dogo ooooo a. 4.65 MPa O b. 6.08 MPa c. 5.09 MPa O d. 4.04 MPa O e. 5.53 MPa
The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 25.8 N is applied to the rod. The cross-sectional area is 1.9 mm². Calculate the shear stress along the close-packed direction. O a. 5.10 MPa O b. 6.10 MPa c. 4.66 MPa O d. 5.54 MPa Oe. 4.05 MPa
Consider a metal rod with a critical resolved shear stress of 40 MPa for a specific crystallographic plane (hkl). The angle between the normal to the plane and the applied force is 30 degrees, and the angle between the slip direction and the force is 15 degrees. Two force levels of F1 = 75 N and F2 = 40 N is applied. The cross-sectional area of the rod is 1 mm^(2). Will the slip initiate at the two force levels? Select one: a. F1: Yes, F2: No b. F1: No, F2: No OC. F1: Yes, F2: Yes Od. F1: No, F2: Yes
What is plane strain condition? List all zero stress and strain components in plane strain.
3. Assume the plane stress state: ơ1 = 0, 02 = 20, T12 = 15 (all stresses in ksi). If oz alone is increased until the maximum shear stress t1, in the material reaches ±20 ksi, what is the value of o, at this point? HINT: this is relatively easy to figure out if you construct a Mohr's circle for the initial stress state and then consider what happens if o, is replaced with Ao2 and you solve for A when the maximum shear stress (from the circle geometry) reaches ±20 ksi.
Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.
(5.1) Show that o, +o,(=0 +0,) is a conserved quantity through rotation of coordinates. We still assume a 2D medium. (5.2) What is the maximum shear stress in the medium if the principal stresses are given by o, and o, ?
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 120 MPa, Sy = 163 MPa, and Sxy = 65 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Sy Sxy Sx
Consider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).