1. Use the diagram below to answer thefollowing questionsa. Determine the normal stress145 MPaexerted on the oblique face of theshaded triangular element.b. Find the shearing stress exertedon the oblique face of the shadedtriangular element.16 MPa60 MPaFigure P3SO MPa4. Use the diagrams below to answer thefollowing questionsa. Determine the normal and40 MPashearing stress ox after theelement shown has been rotatedthrough 25° clockwise.b. Find the shearing stress after theelement shown has been rotatedFigure PIthrough 10° counterclockwise.2. Use the diagram below to answer thefollowing questionsa. Determine the principal planes.b. Compute for the maximumprincipal stress.| 60 MPa20 MPa40 MPa48 MPa16 MPaFigure P460 MPa5. The grain of a wooden member formsan angle of 15° with the vertical.|15 MPAFigure P23. Use the diagram below to answer thefollowing questionsa. Determine the orientation of the3 MP.planes of maximum in-planeshearing stress.b. Find the maximum in-planeshearing stress.c. Compute for the correspondingnormal stress.Figure P5

Answered: Image /qna-images/answer/60a628a6-b0b9-4d2d-a17a-387b4c1bc294.jpg

1. Use the diagram below to answer the following questions a. Determine the normal stress exerted on the oblique face of the shaded triangular element. b. Find the shearing stress exerted on the oblique face of the shaded triangular element. sO MPa 40 MP.

1. Use the diagram below to answer the following questions a. Determine the normal stress exerted on the oblique face of the shaded triangular element. b. Find the shearing stress exerted on the oblique face of the shaded triangular element. sO MPa 40 MP.

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 the state of stress given below, a) Determine principal stresses and principal planes b)…

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

Q: For the state of plane stress shown in Figure-1. t a) Draw Mohr's circle, b) Determine the maximum…

A: Given data:- σx=-20MPa,σy=90MPa,τxy=60MPa Center of mohr's circle=σx+σy2,0=-20+902,0=(35,0) Radius…

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

Q: The principal tensile stress at a point across two mutually perpendicular planes are 100 N/mm2 and…

A: Write the given data with suitable variables: σx=σ1=100 N/mm2σy=σ2=40 N/mm2θ=20°

Q: Forces are applied as shown at point D of the steel post shown.Since the diameter of the pole is 60…

Q: 3. (a) Using Stress transformation equations, determine the principal planes, the principal stresse…

A: To find: The principle planes, the principle stress, the maximum in-plane shear stress and the…

Q: Q: A block is 45 mm long, 20 mm high, 10 mm thickness. the block is subjected to a uniformly…

Q: a) Prime planes, b) Prime stresses, c) Maximum shear stress and this in the plane of the stress

A: Given data: Normal streses along x and y axis σx=12000lb/in2 σy=18000lb/in2 Shear stress…

Q: Determine the minor principal stress and position of the principal plane when a block is subjected…

Q: Find the normal, tangential and the resultant stress & its inclination on a plane making an angle of…

Q: 2: haft shown below, determine the normal and A, including stress concentrations. Then dr and…

A: Given: r=0.0042 m d=0.03 m D=0.033 m P=1500 N M=300 Nm T=250 Nm

Q: Given the following state of stress where ox = 50 MPa, 0y = 0 MPa, txy = %3D -25 MPa, (i) draw…

Q: 1- The principal stresses or a point in the section of a member are 50 MPa or 20 MPa both tensile.…

A: To find : The normal and shear stress. Given : The principal stresses are σ1=50 MPa. σ2=20 MPa.…

Q: 3. (a) Using Stress transformation equations, determine the principal planes, the principal…

Q: 1 MPa 2- For the state of stress as shown below 2 MPa a) Find principal stresses З МРа b) Draw…

A: Given:σx=3 MPaσy=1 MPaζxy=2 MPa

Q: Question 1: For the given state of stress, by using formula determine; Principal Plane - Principal…

Q: Q2: For the stresses at the point shown, find: The maximum shearing stress. • The principal stresses…

A: To Find : the maximum shearing stress the principal stresses and planes Given : stress acting…

Q: Q.1) For the state of stress shown below, use stress transformation equations to determine the…

Q: Oy = 90MPA %3D Try 60MPA %3D Ox=20MPA

A: Given Data Normal stresses σx= 20MPa σy=90MPa Shear stress fxy=60MPa Main stresses are the…

Q: a. Use Mohr's Circle to determine the maximum shear stress on the element b. Also, using Mohr's…

A: Mohr's circle for, σx=-30MPaσy= 50MPaτxy= 20MPa

Q: For the state of plane stress shown in Fig. determine (a) the princi-pal planes, (b) the principal…

A: σx=50MPaσY=-10 MPaτxy=40 MPa (a) the principal planes…

Q: - The state of plane stress is represented by the stress element below. Draw the Mohr's circle,…

Q: Question 2 For the stresses of plane stress state is ox = -8 MPa , Oy = 7 MPa and Txy = -6 MPa Draw…

Q: Quiz// For the state of stress shown in Figure below. Draw the Mohr's circle and find the principal…

Q: Q2) A state of plane stress is given by g =- 32MPa, gy = 16MPA and Txy = 10MPA. Use Mohr's stress…

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

Q: 2- The state of plane stress at a point with respect to the xy-axes is shown in Fig, find the normal…

A: To find : The normal and shear stress on section inclined at an angle of 30° Given : The stress in…

Q: 2- The normal stress in an inclined plane is 21.782 Mpa, the stress in the x-axis is 35 Mpa, in the…

Q: Required information Consider the given state of stress. Take Y=4 ksi. 10 ksi Determine the normal…

Q: Q)The state of plane stress at a point is represented by the stress element below: A. Draw the…

A: Question (A) ,(B) & (C) is Solved here. For the other Parts, Please Post this Question again.

Q: Draw Mohr's circle for the state of stress Shown in Fig.Q2. From the drawing, determine the…

A: Consider the figure: Given: σx=0σy=-45 MPaζxy=35 MPa

Q: Draw the Mohr's Circle (Fig. 3) as accurately as possible on a graph paper. (a) Using equation find…

Q: )The principal stresses.b)The principal directions (angles to the principal planes).c)The maximum…

A: Given:

Q: QJThe state of plane stress at a point is represented by the stress element below: A. Draw the…

A: According to the company's guidelines when multiple sub parts are asked only first 3 has to be…

Q: Please check attach file

A: In the given problem, firstly, we need to find out the type of loading (axial, bending or torsion)…

Q: For the state of plane stress shown in Fig. (1), determine:(a) the largest value of (oy) for which…

A: Given figure

Q: 2. For the state of plane stress given, determine the principal planes, the principal stresses and…

A: givenstress in x direction σx=100MPa tensile stress in y direction σy=-60MPa compressive shear…

Q: 1. Mohr's Circle as seen below has already been completed. Using the information contained in it,…

A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2. A point in a strained material is subjected to a tensile stress of 50 MPa. Find the normal and…

Q: For the following state of stress, 48 MPa 16 MPa 60 MPa Find: i. The principal planes ii. The…

A: Given data: σx=16 MPaσy=-48 MPaτxy=60 MPa Need to determine the principal plane, principal stress,…

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

A: Given data as per question Each grid slide=16 MPaFor a point in a physical object that is subjected…

Q: 1. Determine the equivalent state of stress on an element at the point which represents, the…

A: The stepwise procedure to solve this problem is shown in the following attached image:

Q: A force of 400N is applied on a area of 20m ^2 . Determine the stress generated by the force .

A: The problem is based on mechanics and can be solved as:

Q: Current Attempt in Progress At a point on the free surface of a stressed body, a normal stress…

Q: 1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear…

A: a) The given values are - σx= 60MPa , τxy=40 MPa , σy= 0 The principal stresses are given by - σ1,…

Q: Q2) A state of plane stress is given by g =- 32MPA, g = 16MPa and Txy = 10MPA. Use Mohr's stress…

A: Given Normal stress at X axis = 32MPa Normal Stress at Y axis = 16MPa Shear stress = 10MPa To find…

Q: An aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are…

Q: * 'Determine the ox 30 MPa 10 MPa 20 MPa The state of plane stress at a point is represented on the…

A: find the segma x in oriented element.

Q: QUESTION 4) For the given plane state stress, if the components at the inclined surface is known and…

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

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

Trending now

This is a popular solution!

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

A body is subjected to a direct tensile stress of 300 MPa in one plane accompained by a simple shear stress of 200 MPa. Determine maximum normal stress on the plane.
Direct stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm?. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
2. (a)A single thick-walled cylinder h2as an inner radius of 100 mm and an outer radius of 155 mm. The cylinder is subjected to an internal pre2 ssure of 65 ????/?? and an external pressure of 25????/?? . (i) Calculate the hoop and radial stress inside and outside of the cylinder. (ii) Sketch the 3D Mohr’s Circle of a point on the inner surface of the cylinder and label the principal stresses (include coordinates values). (iii) If the cylinder is made of a copper alloy with yield strength of 200 MPa; verify whether the cylinder will fail using the Von Mises Criteria and calculate the Factor of Safety. (b) To increase the FOS to the standards value, another cylinder is shrunk-fitted to make a compound cylinder. When the internal pressure load remains unchanged, the maximum hoop stress in the inner cylinder of the compound cylinder has been found to be reduced by 5% of the original value(i)Calculate the interface pressure at the common radius of the compound cylinder. (ii)Assume the…
Suppose that σx = 42 MPa A) Determine the normal stress σx′ that acts on the element with orientation θ = -17.8 ∘. B) Determine the normal stress σy′ that acts on the element with orientation θ = -17.8 ∘. C) Determine the shear stress τx′y′ that acts on the element with orientation θ = -17.8 ∘.
Determine the principal planes and the principal stresses for the state of plane stress resulting from the superposition of the two states of stress shown.
A hollow bronze shaft with anoutside diameter of 80 mm and a wallthickness of 5 mm is subjected to a torqueof T = 620 N·m and an axial load of P =9,500 N, as shown in Figure P15.3/4.(a) Determine the principal stresses andthe maximum shear stress at point Hon the surface of the shaft.(b) Show the stresses of part (a) and theirdirections on an appropriate sketch.
Using Mohr's circle on each case, determine a)The principal stresses and maximun shear stress. Show all results on sketches of properly oriented elements b)Is there the invariance of normal stresses in each case?
By using Hooke’s law, how can we express the dilatation interms of the applied stress?
The butt joint shown in the figure is connected using five 20mm diameter bolt. If the tension force (P) acting on the member is 25 KN, determine the maximum shearing stress developed within among the bolts. *you gave me 3 answer which I don't know if its correct please give the right answer and please help me with this assignment I struggle much on how to solve the answers right. *https://www.bartleby.com/questions-and-answers/the-butt-joint-shown-in-the-figure-is-connected-using-five-20mm-diameter-bolt.-if-the-tension-forcep/8ea038d7-9ba4-4dcf-95f5-fdd29164bd28
At a point on the free surface of a stressed body, thenormal stresses are 20 ksi (T) on a vertical plane and 30 ksi (C) ona horizontal plane. An unknown negative shear stress exists on thevertical plane. The absolute maximum shear stress at the point hasa magnitude of 32 ksi. Determine the principal stresses and theshear stress on the vertical plane at the point.
In a plane stress condition, the components of stress at a point are sigma_{x}= 20MPa , sigma_{y} = 80MPa , Ty = 40 MPa . What is the maximum shear stress (in MPa) at the point?
The yield stress for a zirconium-magnesium alloy is sY = 15.3 ksi. If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 that will cause yielding according to the maximum shear stress theory.