Consider the 2-D state of stress shown below.Using the provided scales graph the Mohr's Circle for the 2-D state of stress with "full' detailsDraw the Planes of Principal and Maximum Shear StressesProvide "full" details and Use 3 Sig. Fig. in this problemOy = 15 KsiTcw → STxy= -5 ksiOx = 10 KsiTyx = 5 Ksi105-20-105101520510Tccw → S'

Answered: Principal nd Use 3

Engineering

Mechanical Engineering

Principal nd Use 3

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...

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Consider the 2-D state of stress shown below. Using the provided scales graph the Mohr's Circle for the 2-D state of stress with “full" details II-Obtain the Principal Stresses, the Maximum Shear Stress, and complete the table below III- Draw the Planes of Principal and Maximum Shear Stresses in the space provided below Provide "full" details and Use 3 Sig. Fig. in this problem Oy = 15 Ksi Tcw > S y Ox =10 Ksi Тух 5 Ksi 10 5 -20 -15 -10 5 10 15 20 5 10 Tccw > S' O Avg. TMax. 01 02 Op1
(a) Construct Mohr's circle for an element in a uniaxial state of stress (b) Use this Mohr's circle to derive the equation for the normal stress On and shear stress En on the n-face. The equations should depend on Ox and θ (c) Use the Mohr's circle to determine the planes on which the maximum shear stress acts. Sketch a properly oriented maximum-shear-stress element and indicate the normal and shear stresses acting on its faces. Ơn nt o, Note: for (b), the angle θ is between 0 and 90° and is positive
For the following data, using Mohr's circle of stress and trigonometry, (a) Find the principle stresses and show their sense in properly oriented element and (b) find the maximum (principle) shear stresses with the associated normal stresses and show the results on a properly oriented element.
Consider the plane stress element shown in representing the state of stress at a material point. If the magnitudes of the stresses are such that ox 210 Pa, oy = 110 Pa, and = - Txy = 70 Pa, calculate the magnitudes of principal stresses oj and 02, and the maximum shear stress, Tmax, generated at %3D this material point. (a) Record here the the positive of the two principle stresses. (b) Record here the the negative of the two principle stresses. (c) Record here the the maximum shear stress. Tyz Oy
the state of stress at a point can be described by óx=36 MPa and Txy= 17MPa a second coordinate system is rotated by theta35 degrees What is the normal stress in the direction of the x' axis what is the shear stress in the y'-direction for the faces with a normal in the x'-direction what is the normal stress in the direction of the y'-axis
Consider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).
A composite shaft consists of 3 cylinders that are made from aluminum, copper and steel. Multiple axial loads are applied. The radii and Elastic Moduli of the cylinders are given. Neglect the size of collars B and C. F₁ Aluminum Eal r1 F₁ F₂ F3 FA d₁ d₂ d3 F₂ H F₂ B d₁ Copper Ecu r2 T1 72 T3 Ealuminum Ecopper Esteel Value C 1.75 KN 5.75 KN 2 KN 5.75 KN 0.5 m 0.2 m 0.3 m 0.16 m 0.28 m 0.12 m 74 GPa 112 GPa 202 GPa Steel Est [3 d3 Values for the figure are given in the following table. Note the figure may not be to scale. Variable F₂ F₂ D F₁ a. Determine the normal stress in section AB, OAB. b. Determine the normal stress in section BC, OBC. c. Determine the normal stress in section CD, gcn.
The state of plane stress shown occurs at a critical point of a metal machine component. As a result of several tensile tests, it has been found that the tensile yield strength is Fy for the grade of metal used. Determine the ratio of OT/ OH shown in the figure, using the maximum-shearing-stress criterion (Tresca Hexagon). (Using Mohr circle method to calculate principle and average stresses) OX TXy Mpa Mpa Mpa MPa ob σy тху 90 -60 45 310 dy OX x Sx=Sx Sy=sy txy=txy Fy=Yield Strength Answer
1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear stresses and directions by using Mohr’s circle. Support your answers with diagrams. 41 GOMPa 60MPR Txy=40MPA 40MPA (a) (b)
For each of the plane stress states listed below, draw a Mohr's circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the r axis to of. Draw stress elements as in Figure 3-11c and d and label all details. a.) sigma,x = - 12 kpsi, sigma,y = 22 kpsi, txy = 12 kpsi cw b.) sigma,x = 30 kpsi, sigma,y = -10 kpsi, txy = 10 kpsi ccw c.) sigma,x = -10 kpsi, sigma,y = 18 kpsi, txy = 9 kpsi cw Attached is an image of Figure 3-11c and d for example. THIS IS THE ONLY INFORMATION I AM PROVIDED WITH! Thank you for the help in advance!
1. Given a combination of stresses on an element shown in the figure, (a) draw a Mohr's circle representing the complete state of stress of the element, i.e. show prinicpal stresses (01,02), maximum shear stresses (Tmax), principal direction (0p), original orientation, and original stresses (Ox, Oy, Txy). (b) draw three-dimensional Mohr's circles showing the three principal stresses and absolute maximum shear stress. Oy = -50 MPa Txy 20 MPa Ox = -150 MPa
Assume the plane stress element shown in Fig. E3-a represents the stress a geosynthetic membrane used in a mechanically stabilized earth wall. If the reference state of stress for this element results in the Mohr’s circle plot shown in Fig. E3-b, determine: The principal stresses. The principal directions (angles to the principal planes). The maximum in-plane shear stress. It is known that the seam, which is rotated 45 deg from the vertical as shown in Fig. E3-c, will fail if subjected to a tensile stress of 25 kPa or a shear stress of 1 kPa. Determine the normal stress and shear stress acting on the seam, and state if the seam will fail due to the loading indicated.