**Problem Statement:**Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that \( \sigma_x = -13 \text{ ksi} \) and \( \tau_{xy} = -19 \text{ ksi} \). Solve the problem using Mohr's circle.**Diagram Description:**The diagram shows a square element with arrows indicating stress applied to its sides. Two horizontal arrows point inward from the left and right sides, and two vertical arrows point inward from the top and bottom sides. **Tasks:****Part A:**Determine the normal stress \( \sigma_{x'} \).- **Instruction:** Express your answer in kilopounds per square inch to three significant figures.- **Answer:** \( \sigma_{x'} = \_\_\_ \text{ ksi} \)**Part B:**Determine the normal stress \( \sigma_{y'} \).- **Instruction:** Express your answer in kilopounds per square inch to three significant figures.- **Answer:** \( \sigma_{y'} = \_\_\_ \text{ ksi} \) **Part B**Determine the normal stress \( \sigma_{y'} \).**Express your answer in kilopounds per square inch to three significant figures.**ANSWER: \( \sigma_{y'} = \) [______] ksi---**Part C**Determine the shear stress \( \tau_{x'y'} \).**Express your answer in kilopounds per square inch to three significant figures.**ANSWER: \( \tau_{x'y'} = \) [______] ksi

Answered: Image /qna-images/answer/c8ca060a-f3e5-4a92-a74c-374c6b63911d.jpg

Answered: Determine the equivalent state of…

Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that = -13 ksi and Txy = -19 ksi. Solve the problem using Mohr's circle.

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

Q: The state of strain on an element has components P x = -400(10-6), Py = 0, gxy = 150(10-6).…

A: Lets represent P x = Py = gxy =

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: After being rotated through an angle 0, the stress elements σx and Tx'y' can be calculated by the…

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: 5. Solve the following problem Use stress transformation formulas and Mohr's circle • to determine…

A: Step 1: Step 2: Step 3: Step 4:

Q: An element in biaxial stress is subjected to stresses o, = -60 MPa and oy = 18 MPa, as shown in the…

Q: Problem 2 Consider the beam of length L and cross-sectional moment of inertia I shown in the figure…

A: Given data:

Q: An element is found in a stress condition as shown in figure. Then Calculate: Principal stresses…

A: From the figure, σx=30 MPaσy=-20 MPaτxy=-15 MPa (i) The formula to calculate the principal stress…

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

Q: PROBLEM 10-n GIVEN: THE STATE OF STRAIN AT THE POINT ON THE PIN LEAF HAS COMPONENTS OF = 200(106), y…

A: εx=200×10-6 εy=180×10-6 γxy=-300×10-6 θ=-30o counter clock wise

Q: 1. Given stress on an element as shown. a) Using both Analytical method and Graphical method…

A: a) Analytical Method i) σ1 , σ3 σx = - 75 MPa σy = 40 MPa τxy = 20 MPa σ1,3=σx + σy2 ± (σx - σy2)2 +…

Q: For the 2-D linear triangular plane stress element below (figure 3), the nodes' displacements have…

Q: 1. A beam element with length L = 10.0 m is used in a finite element analysis and the displacement…

A: mx..+cx.+kx=0 m=mass c=damper k=spring constant Mg=F [self-weight] F=kx [Spring force] F=cx. Given,…

Q: 1. The state of plane stress at a point is represented on the element shown in the figure below.…

A: Given data Normal stresses Angle of transformation

Q: An axial bar is shown below. E = 200 × 10⁹ Pa, A = 0.42 × 10-3 m². The bar can be divided into two…

Q: 2- The derivatives of the displacement components are related to the strain vector of the element as…

A: Structural design is a highly specialised field of structural engineering. It very well may be…

Q: 4. Complete the following a. Draw Mohr's circle for the element given and label the axes b.…

A: Answer Since we are not allowed to provide handwritten solution we have used Autocad to draw the…

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

**Problem Statement:**

Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that \( \sigma_x = -13 \text{ ksi} \) and \( \tau_{xy} = -19 \text{ ksi} \). Solve the problem using Mohr's circle.

**Diagram Description:**

The diagram shows a square element with arrows indicating stress applied to its sides. Two horizontal arrows point inward from the left and right sides, and two vertical arrows point inward from the top and bottom sides.

**Tasks:**

**Part A:**

Determine the normal stress \( \sigma_{x'} \).

- **Instruction:** Express your answer in kilopounds per square inch to three significant figures.
- **Answer:** \( \sigma_{x'} = \_\_\_ \text{ ksi} \)

**Part B:**

Determine the normal stress \( \sigma_{y'} \).

- **Instruction:** Express your answer in kilopounds per square inch to three significant figures.
- **Answer:** \( \sigma_{y'} = \_\_\_ \text{ ksi} \)

**Part B**

Determine the normal stress \( \sigma_{y'} \).

**Express your answer in kilopounds per square inch to three significant figures.**

ANSWER:
\( \sigma_{y'} = \) [______] ksi

---

**Part C**

Determine the shear stress \( \tau_{x'y'} \).

**Express your answer in kilopounds per square inch to three significant figures.**

ANSWER:
\( \tau_{x'y'} = \) [______] ksi

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: Given

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 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

1. Element A is subjected to the stress state shown in the x-y plane 75 MPa (+x is to the right, +y is up). Use Mohr's Circle to solve the following problems. You MUST draw Mohr's Circle to get credit for these problems! 25 MPa 105 MPa (a) Determine the complete state of stress on the element in the x-y coordinate system. (b) Determine the state of stress if this element is rotated 25° (c) Determine the values of the principal stresses. (d) Determine the value of the maximum in-plane shear stress, Tmax in plans. (e) Determine the absolute maximum shear stress, Tmax abzolute (by drawing circles from each principal stress to the origin). Is Tmax abzoluts in the x-y plane (i.e., is Tmax absolute equal to Tmax, in-plane)? nswers: (a) ox = 105 MPa (T); oy = 75 MPa (T); Ty = +25 MPa; o; = Tx = Tyz = 0 (b) ox = 118.8 MPa (T); o, = 61.21 MPa (T); t = -4.579 MPa (c) 01.2 =119.2 MPa (T), 60.8 MPa (T) (d) Tmax in-plane = 29.15 MPa (e) Tmax absolute = 59.58 MPa; no, Tmax, absolute is not in the…
3. The plane stress is shown on the element. Use Mohr's circle. 1) Determine the principal stresses and corresponding orientation of the element from the position shown. 2) Determine the in-plane maximum shear stress and corresponding orientation of the element from the position shown. 3) Determine the state of stress on an element oriented 45° counterclockwise from the position shown. 90 MPа 60 MPа 20 MPа
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
Solve using Mohr’s circle
Part C - Counterclockwise Rotation of a Stress Element Figure 5 of 6 The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |0z| = 13 ksi, Joy = 23 ksi, and |Tzy| = 12 ksi. Determine the state of stress on an element rotated 45° counterclockwise from the element shown. Express your answers, separated by commas, to three significant figures. • View Available Hint(s) Vol AEO I vec Or =, oy =, Tự'y = ksi, ksi, ksi Submit Pearson
8 Expansion is an axial deformation. 9 True 10 False The coordinates of centroid locate the ge ometric center of the cross-section of the material.( True False Torsional stress is also known as bending stress.( True False
Using Mohr's circle, determine the stresses acting on an oriented element An Angle Θ from the x-axis, show those stresses on an element oriented at that Angle Θ Θ = positive (+) when rotated counterclockwise Θ = negative (-) clockwise. Also determine the principal normal stresses and the maximum shear stress, and draw an element with the orientation of these. data to use σx= 33 MPa σy= - 9 MPa τxy= 29 MPa Θ=35°
A differential element on the bracket is subjected to plane strain that has the following components: , strain at x = 250 x 10-6, strain at y = 300 x 10-6, strain at x y= -500 x 10-6. Use the strain-transformation equations and determine the normal strain strain x' in the x' direction on an element oriented at an angle of 35°. Note, a positive angle is counter clockwise.
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 8 MPa in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).
i need the answer quickly
An element in plane stress is subjected to stresses σ_x, σ_y, and τ_xy (see figure). Using Mohr’s circle, determine the stresses acting on an element oriented at an angle θ from the x axis. Show these stresses on a sketch of an element oriented at the angle θ. (Note: The angle θ is positive when counterclockwise and negative when clockwise.) Given: σ_x=33 MPa,σ_y=-9 MPa,τ_xy=29 MPa,θ=35°