Q1: The state of stress at a point in a member is shown on the element inFigure (1). Determine the following:1) The stress components acting on the inclined plane AB (o, and tx'y').2) The principal normal stresses (p1.op2) and max in-plane shear stress (Tmax).Do not calculate the angles of the planes of the principal stresses.Solve the problem using the equations.8 ksi2 ksiFigure (1)60B5 ksi

Given: Block with 2d normal stress Shear stress Angle To find: Normal stress and shear stress on…

Q1: The state of stress at a point in a member is shown on the element in Figure (1). Determine the following: 1) The stress components acting on the inclined plane AB (o, and Ty'y'). 2) The principal normal stresses (op1, p2) and max in-plane shear stress (Tmax). Do not calculate the angles of the planes of the principal stresses. Solve the problem using the equations. 8 ksi 2 ksi Figure (1) 5 ksi

Q1: The state of stress at a point in a member is shown on the element in Figure (1). Determine the following: 1) The stress components acting on the inclined plane AB (o, and Ty'y'). 2) The principal normal stresses (op1, p2) and max in-plane shear stress (Tmax). Do not calculate the angles of the planes of the principal stresses. Solve the problem using the equations. 8 ksi 2 ksi Figure (1) 5 ksi

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The strain components E, Ey, and yxy are given for a point in a body subjected to plane strain.…

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

Q: 40MPA 30 40MPA 100MPA

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

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

A: Given, Each grid size= 4 MPa

Q: Given an element with stresses as indicated in figure below, find the following: a) The maximum and…

A: Find:a) The maximum and minimum principal stressesb) The maximum shear stress, and the average…

Q: Q.2) A state of stress is specified as shown in Figure (2), By using Mo determine the normal and…

A: Radius of the circleR=(σx-σy2)2+τxy2R=(40+802)2+502R=78.1…

Q: Problem #2. The state of stress at a point with ox, oy and txy as shown. Analyze the state of stress…

Q: a) The maximum and minimum principal stresses b) The maximum shear stress, and the average normal…

A: ###Determination of given parts question of a stress system ### Principle stresses ###

Q: Q4) ( ): A state of stress is specified as shown in Figure (4), By using Mohr's circle determine the…

A: .

Q: Draw the Mohr’s Circle. B. Determine the principle stresses and draw the corresponding stress…

Q: Determine whether the following stress functions satisfy the conditions of compatibility for a…

Q: Problem 1. From the given beam and loading in the figure. a. Determine the neutral axis of the beam…

Q: Relative to the Cartesian axes Ox,x,x3 a stress field is given by the matrix (1–x; )x, + x -(4–…

Q: 160 MPа 160 MPа, The state of stress at a point is shown on the element. You are required to…

Q: For the given state of stress of element A, strictly using Mohr's Circle perform the following:…

Q: 3. b) The state of stress at a point is shown on the element. Using Mohr's cicle, determine The…

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

Q: Q: For the state of stress shown in fig. below. Determine the principle stress and the max. shearing…

A: given fig sigma x sigma y shear stress to find max shear stress principle stress]

Q: 3. The plane stress is shown on the element. Use Mohr's circle. 1) Determine the principal stresses…

A: Finding out principal planes and stresses.

Q: Problem#1 A cantilever beam along with its cross-section is shown in the figure below. 1) Determine…

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

Q: ress at point A is ress at point Bis [ ksi. ksi.

Q: The state of stress at a point with ox, oy, and txy as shown. Analyze the state of stress at the…

Q: The nodal co-ordinates of a plane stress element are 1 (100,100), 2 (500,100) and 3(250,500). The…

A: Given values: Stress elements: 1(100,100) 2(500,100) 3(250,500) Nodal displacements: u1=1.5 mm v1= 1…

Q: t y n

Q: 0=-80MPA o=20MPA 0=20MPA 0=-80MPA

Q: Determine the principal stress, the maximum in-plane shear stress, and average normal stress.…

A: Solutions are given below

Q: 80 50 50 80

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: What is the shear stress component (τ) on a plane at 35o counterclockwise from the x-plane (in MPa)?…

A: stress ox x axis σx=-106 MPaσy=+150 MPashear stress ζxy=150 MPaangle of plane =+35° from…

Q: The state of stress at a point in a member is shown on the element. Determine the absolute normal…

A: Determine the absolute normal stress component acting on the inclined plane AB in ksi.

Concept explainers

Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

Q1: The state of stress at a point in a member is shown on the element in
Figure (1). Determine the following:
1) The stress components acting on the inclined plane AB (o, and tx'y').
2) The principal normal stresses (p1.op2) and max in-plane shear stress (Tmax).
Do not calculate the angles of the planes of the principal stresses.
Solve the problem using the equations.
8 ksi
2 ksi
Figure (1)
60
B
5 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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Principal stress: 01,2 Ox+0y tan20, = Txy 2 (Ox-0y)/2 2 maximum in-plane shear stress: Tmax *) : + Txy? tan20s -(0x-0y)/2 Ox+0y σανg Txy 2 The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work. 57 MPa 28 MPa 42 MPa
Problem example Example 7-5: The state of plane stress at a point with respect to the xy- axes is shown in the figure. Using Mohr's circle, determine (a) The principal stresses and principal planes and sketch the results. (b) The maximum shear stress. (c) The state of stress with respect to the x'y'-axes. 20 MPa (+) A 16 MPa 50° X 40 MPa (+) 1. Omax 3. Op 7-42
The stresses acting on element A in the web of a train rail are found to be ‘75 (MPa)’tension in the horizontal x-direction and ‘90 (MPa)’ compression in the verticaly-direction. Also, shear stresses of magnitude ‘40(MPa)’ act in the directions shown inthe figure.a) Draw Mohr’s circle for the state of stress.b) Determine the stresses (σx', σy' and τxy') acting on an element oriented at an angle‘D=-10 ˚’ from the horizontal. Show these stresses on a sketch of an elementoriented at this angle Note: If the angle D is positive, then the shear stress is in the direction shown onthe unit element figure; if it is a minus sign, then the shear stress is in theopposite direction shown on the unit element figure.
Problem 4 : For the shown Mohr circle: (a) What is the state of stress at the reference point A. Sketch the element at A. (b) Determine the principal normal stresses and their orientation. Show the results on a properly oriented element (c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly oriented element A 20 40 60 80 100 Ở, ksi 20 40 -60
Q.mohr's circle.
element in each case. Question 3. Determine the principal stresses, the maximum in plane shear stress, and average normal stress. Specify the orientation of the Question 4. The state of stress at a point in a member is shown on the plane AB. element. Determine the stress components acting on the inclined 200 MPa 500 MPa 40 MP1 350 MPa 65 MPa
Please use Mohr's Circle.
V= 31 X= 475 V/5 = 31/5 =6.2 %3D Y=155 V/10 = 3.1 2Y = 310 Z= 60 W = 25 %3D W4 = 6.25 lovtY = 10x31 + 155 =465 そ+W-60+25=85 YW= 31x25 = 775 %3D 1OZ = 10X 60 = 600
For the given state of stress of element A, strictly using Mohr's Circle perform the following: plane 1 plane 2 T-40 MPa plane 4 o=40 MPa 30° 1 plane 3 30° T=20√3 MPa 4 18.435° a) Draw its MOHRS circle b) Determine the principal stresses Op1= Op2= Op3= c) Determine the maximum shear stress Tmax= d) Determine the stresses on the horizontal & vertical planes OH= Ov= THV=
1- Determine the orientation measured clockwise to the principal plane (in degrees). 2- Transform the state of stress shown by rotating its orientation 50 degrees counterclockwise. What is the normal stress (in MPa) on the face which originally had the 75 MPa compressive stress (i.e. the top and bottom of the element). Make sure to enter a positive answer if it is in tension and a negative answer if it is in compression.
The stresses acting on an element are dx = 745 psi, ay = 615 psi, and Txy = 430 psi. (Consider only the in-plane stresses the stresses in the x-y-plane). Oy Determine the principal stresses (in psi) and angle of the principle planes (in degrees counterclockwise from the +x-axis). (For normal stresses, use the deformation sign convention. For maximum shear stress, enter the magnitude.) %1 = psi 0₂ = psi psi max = 8p = Show the stresses on a sketch of a properly oriented element. (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.) Choose File No file chosen This answer has not been graded yet.
5. The state of stress at a point in a member is shown on the element. Determine the stress components acting on the inclined plane AB using Mohr's circle method. A 60° 30° 90 MPa 35 MPa B 50 MPa