Answered: 2. In one specific point in a…

2. In one specific point in a structure, the stress state is as pictured on the differential element. Calculate a) Principal stresses and their angle of orientation b) Absolute maximum shear stress.

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: For a point under a plane state of stress, the stresses on the vertical and horizontal planes are…

A: Find the normal stress at inclined surface. And location of principal plane.

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

A: Given: The shear stress acting on the element = -35 kPa The normal stress along the x-axis = 20 kPa…

Q: A state of plane stress is illustrated below 30 MPa 30 MPa 30 MPa (a) Plot Mohr circle, (b) Find…

Q: 2- The state of stresses at a point are defined as follows. Find the normal and shear stress vector…

A: Given: The point of plane, P(2,1.5,2)

Q: Determine: Draw Mohr's circle for the stress shown, labe a) max and min principal stresses, b) max…

A: here take stress in x direction = -12ksi, in y direction = 0 and shear stress in plane is = -6ksi.…

Q: Homework: For the element shown find 1) Principle stresses and their direction 2) Shear stresses and…

A: (1) To find : The principle stress and their direction. Given data : The normal stress in X…

Q: 3. In one specific point in a structure, the stress state is as pictured on the differential…

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: Fig. 1 depicts an aluminum and steel pipes, those pipe are fastened to rigid supports at ends A and…

Q: Mechanics of Materials Two forces are applied to the 100 mm diameter plate attached to the 40 mm…

A: Given: The loads on the shaft is shown below:

Q: Question 3 Based on the diagram below a) Find the internal forces of A, B & C. 950 тm 045 тm Ø30mm F…

A: First we need to calculate the reaction from the wall by balancing all the forces. Sum of all the…

Q: The state of plane stress at a point is represented by the element shown in Figure Q1. Construct a…

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: In one specific point in a structure, the stress state is as pictured on the differential element.…

A: In one specific point in a structure, the stress state is as pictured on the differential element.…

Q: The stress at a point of a machine component are 200MPa tensile and 100MPa compressive. Using Mohr’s…

A: Given: σx=200 MPaσy=-100 MPaτxy=0θ=30°

Q: shear stresses.(c) Angle of principal stresses (Op)(d) Angle of maximum shear stress (es) * o.y =…

A: Mohr circle is a two dimensional graphical method of expressing the normal stresses and shear stress…

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: a. Determine the stress matrix for this stress state if the axes are rotated 30° counterclockwise…

A: Solution: Given Data: σ=2010010100005 To Find: (a) Determine the stress matrix for the given…

Q: 2.4. The stress at a point is defined by the components Og =0 MPa, Oyy =100 MPa, Oxy = Oyx = -40…

A: Given Data⇒σxx=0 MPaσyy=100 Mpaσxy=σyx=-40 MPaProblem definition⇒Problem says find principle…

Q: 1. This question relates to stresses due to combined loading. A shaft subjected to combined torsion…

A: Given: The stress in x-direction = -130 MPa The shear stress acting on element = 90 MPa

Q: rect stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a…

A: Given, direct tensile stress, σt=160N/mm2 Compressive stress, σc=120N/mm2 The greatest principal…

Q: a state of stress at a point in a member defined by the element shown in the figure. Find the main…

Q: The state of stress at a given point is given in the following figure. Use Mohr’s circle to find: a)…

Q: 10m Stresses in Beams: Part 1 39 X +y 2m Sign Mechanical Engineering Mechanics of Materials 2 (a)…

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

Q: Relative to the x-, y-, and z-axes, the state of stress at a point in a component is found to be…

A: Given- To Find-(a) The normal, shear, and resultant stresses that act on a plane whose normal…

Q: Problem 2: A pressure vessel with p = 200 psi internal pressure is subjected also to a twisting…

A: Given data, Applied internal pressure, P = 200 psi Applied twisting moment, T = 450 kips Internal…

Q: 950 MPa 70 MPa 210 MPa 60°

Q: Determine the stress components acting on the inclined plane AB. Solve the problem using the method…

Q: By using the Mohr's circle approach, c. Construct the Mohr's circle for the stress element shown in…

A: Givenσx=45MPaσy=-60MPaτ=30MPa

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: 3) Solve the plane stress problem using two-element model to find displacements and stresses. 15 kN…

Q: C= 60 R= σ1 = 02 = Determine the principal stresses 1 and 2 for the stress element shown above: Ts=…

A: The principal stresses are The maximum shear stress is The principal plane is rotated by The radius…

Q: A point on the surface of a mechanical component has the following state of plane stress o. = 90…

A: Given:- σx=90 MPaσy= -50 MPaτxy= 60 MPaTo find:-a) Draw mohrs circleb) Principal stresses and…

Q: h G bị Q4) For the given system; a) Draw internal force diagrams and determine the most critical…

Q: A bar with varying cross section is subjected to various forces as shown below. Compute: a) Stresses…

A: Given Data- E=2.1*10^5 N/mm2 P1=17KN , P3=38KN , P4=21KN We have to find a) stress in each section…

Q: Problem 2. Amaterial element in plane stress is subjected to stresses: = -5000 psi Ox Oy = -2000 psi…

Q: At a point in a stressed body, the known stresses are o, = 15 ksi (T). o, 12 ksi (T). oz = 11 ksi…

A: Given Dataσx=15ksiσy=12ksiσz=11ksiτxy=3ksiτyz=-4ksiτzx=0θ1=41°θ2=61°θ3=63.77°

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

2. In one specific point in a structure, the stress state is as pictured on the differential
element. Calculate
a) Principal stresses and their angle of orientation
b) Absolute maximum shear stress.

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 data

VIEW

Step 2: Calculation of principal stresses

VIEW

Step 3: Calculation of angle of orientation and the maximum shear stress

VIEW

Solution

VIEW

Step by step

Solved in 4 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

For the element shown find 1) Principle stresses and their direction 2) Shear stresses and their direction 300MPA +200MPA 300MPA
By using Mohr's circle on the element subjected to stresses in the figure; 950 MPa a) Find the principal stresses, the maximum shear stress and their planes and show them on the element. 70 MPa b) Calculate the normal and shear stress in the c plane. 210 MPa 60°
The stress components acting on an infinitesimal element extracted from a plate subjected to the plane stress state are given in the figure. a) Find the principal normal stresses and their directions and show them on the oriented element. b) Draw the Mohr circle schematically and indicate the points on the given element on this circle. 60MPA A 30° 60° 40MPA 80MPA
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.
50 MPа 60 100 MPa For the stress conditions given in the figure; a) Draw the Mohr Circle. b) Find the principal stress values and their directions and show them on the figure. c) Find the normal and shear stresses on the C plane and show the point corresponding to this plane on the Mohr circle.
Using mohr’s circle
Q2. What is meant by major stresses and major levels? b An element in a plane affected by the stresses shown in the figure using the arithmetic and semi-graphical method. Calculate 1- The main stresses and their trends or levels on which they are located. - The greatest shear stress, the plane on which it lies and the associated vertical stress. - Vertical stresses if the element rotates at an angle of 20 on the main plane. B 5.000 psl 4.000 psl 15,000 psl veroo
M A For the given system; a) Draw internal force diagrams and determine the most critical section. b) Show the stress distribution on this critical section and find the maximum normal stress. GIVEN: €1 = 80 cm, {z=40 cm, M= 8000 Nem, b= 4 cm, h = 6 cm, t= 1 cm F = 1400 N, q.= 30 N/cm
Please solve a,b,c
Part C - Counterclockwise Rotation of a Stress Element 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 |o₂| = 16 ksi, |oy| 29 ksi, and Try = 8 ksi Determine the state of stress on an element rotated 50° counterclockwise from the element shown. Express your answers, separated by commas, to three significant figures. ► View Available Hint(s) 02 Oy, Tz'y' Submit - VE ΑΣΦ ↓↑ vec Part D-Clockwise Rotation of a Stress Element with No Shear Stress ? ksi, ksi, ksi The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are ₂ = 13 ksi and|oy| = 12 ksi Figure Part A - State of Stress on an Inclined Plane <
The normal and tangential stresses on a plane inclined at 30° to the axis of the minor principal stress are 75 N/mm2 and 20 N/mm2. The resultant stress on a plane by analytical method is
3. As shown, a vertical 200 lb force is applied to the gear and shaft assembly at point D. Shaft ABC is solid and has a 0.5 in. radius. (you may use a coordinate system of your choice, as long it's correct.) y 2.5 in. 10 in. D H B Z X 200 lb a) Determine the state stress (all stresses with their indices) at point H on top of the shaft. b) Determine the principal stresses and max shear stress at point H.