Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizo vertical planes at the point are Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, ca 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maxim plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = (0) Tmax = (b) 0,= Oavg = || Sxy T i i Mi i ¡ ksi ksi ksi 0 ksi ksi

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizo vertical planes at the point are Sx = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, ca 0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maxim plane shear stress. (c) Compute the absolute maximum shear stress at the point. Answers: (a) Opl = Op2 = (0) Tmax = (b) 0,= Oavg = || Sxy T i i Mi i ¡ ksi ksi ksi 0 ksi ksi

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

Q: Current Attempt in Progress Consider a point in a structural member that is subjected to plane…

Q: For the state of plane stress in the figure, (a) draw the Mohr's circle, (b) determine the principal…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

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: 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: In a thin plate, the state of stress prevails according to the figure. Calculate the principal…

Q: On a stress element, the following stresses are acting: σ x = 5 ksi (Compression) σ y = 10 ksi…

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

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

Q: 2. Discuss briefly what are stress elements and how essential are these on the analysis of principal…

A: To discuss: What is stress element and how essential are these on the analysis of principle stress…

Q: A structural member is subjected to a plane stress loading condition. The state of stress at a point…

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

Q: Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with…

Q: A body is subjected to the following stresses: og=10 MPa, oy -2 MPa, oz =3 MPa. Which of the…

A: For plane stress or 2D stress element they should two are normal stresses and one is shear stress.…

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

Q: Please work out c and d

Q: 4. The state of stress at a point, for a body in plane stress, is shown in the figure below. If the…

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: (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b)…

A: Given: Grid square size is 11 ksi. Mohr's circle can be denoted here as,

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

Q: A point on a thin plate is subjected to two successive states of stress. The stresses have magnitude…

Q: Consider a point in a structural member that is subjected to plane stress. Normal vertical planes at…

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

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

Q: Using “Transformation Equations" for the figure shown, (a) determine the stresses acting on an…

Q: Lical planes at the polnt are Sx (a) Determine the principal stresses (o,l > Op2) and the maximum…

Q: he forces applied to the pulleys are given in the figure below. Accordingly, show the stress…

Q: Oy Ot Txy Tnt Ox On (b) (a) On the surface of a structural member, stresses are given as ox=61 MPa,…

A: Given,

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

Q: For the plane stress state shown: (a) Determine the principal stresses and show them on a properly…

A: Given :Given figure;

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

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

A: In this issue, we will compute the major stresses in the x and y directions for the given stress…

Q: Q-1 Figure Q-1, below, shows Mohr's arde for a pointin a physical object that is subjected to plane…

A: Write the position coordinates for both x and y coordinates. Now write the stresses value in the x…

Q: or this 2D state of stress. stresses, the maximum in-plane shear al stresses acting at this point.…

Q: Consider a point in a structural member that vertical planes at the point are S, =26 MPa, S,= 19…

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

Q: 3. An element in plane stress on the fuselage of an airplane (figure part a) is subjected to…

Q: Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each…

A: Given Each grid square is 280 psi in size

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

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 = 26.9 ksi, Sy = 6.8 ksi, and Sxy= 19.0 ksi.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) On a piece of paper, show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). For the sketch, calculate
0p, the angle between the x axis and the principal stress orientation. Also, calculate avg, the normal stress on planes of maximum in-
plane shear stress.
(c) Compute the absolute maximum shear stress at the point.
Answers:
(a) Opl =
Op2 =
Tmax =
(b) 0,=
Oavg
=
(c) Tabs max
Sxy
=
i
i
Mi
i
i
ksi
ksi
ksi
0
ksi
ksi

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: GIVE DATA

VIEW

Step 2: TO FIND OUT

VIEW

Step 3: Calculatation

VIEW

Step 4: Calculation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 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

Please show full work than you
Can you help me with this problem, please: At a material point in plane stress it is known that the hydrostatic component of the stress is 15 ksi and that the second stress invariant is 30 ksi. Determine the magnitude of the principal stresses and the maximum shear stress.
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
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, 2750 psi, S, = 1100 psi, and Sy 1950 psi. Assume ß - 53°. (a) Draw Mohr's circle for this state of stress. %3D (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (c) Determine the normal and shear stresses on the indicated plane and show these stresses on a sketch. (d) Determine the absolute maximum shear stress at the point. Sxy Answer: (a) Draw Mohr's Circle for this state of stress. (b) op1- psi Op2 - psi Tmax in-plane psi (c) on psi Tnt psi (d) Tabs max psi eTextbook and Media
Please provide correct solution and fast
need help with this Mechanics of Materials
For a plane stress state, in the original Oxy system we know the component Ox = 120 MPa and Txy = 60 MPa. After the element (see the left figure) is rotated counterclockwise by 45°, we know the stress component Txryı = -60 MPa in the new Ox'y' system (see right figure). Determine the two principal stresses and the absolute maximum shear stress (ra). y Oy Txıy! x' Txy Ox 45 х
An element in plane stress is subjected to stresses o, = -60 MPa, o , = -40MPA, and Ty = 35MPA, as shown in Fig. a. (1) Determine the principal stresses and show them on a sketch of a properly oriented element; (2) Determine the maximum shear stresses; (3) Sketch the circular relationship of transformed stresses. | 40 MPa 35 MPa 60 MPa
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 = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
Please solve a,b,c
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
Please answer attach file