At a point on a component, the stress has been calculated. The direct stress in the x direction is o,=160 N/mm2 and the associated shear stress isTry =990 N/mm2 . A Mohr's stress circle is to be constructed representing this state of stress. If the centre of the circle is at -10, what is the radius of the circle? Give your answer in N/mm2 to 3 significant figures. Your Answer: Answer

At a point on a component, the stress has been calculated. The direct stress in the x direction is o,=160 N/mm2 and the associated shear stress isTry =990 N/mm2 . A Mohr's stress circle is to be constructed representing this state of stress. If the centre of the circle is at -10, what is the radius of the circle? Give your answer in N/mm2 to 3 significant figures. Your Answer: Answer

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 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...

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-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
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
The internal loadings at a section of the beam in (Eigure 1) are shown Figure 20 mm 100 mm 200 mm 20 mm 10 kNm 20 mm 10/12 60 kN 80 KN 500 N-m Determine the in-plane principal stresses at point C. Also compute the maximum in-plane shear stress at this point Express your answers, separated by commas, to three significant figures. VAZ Ivec 4 d Submit Provide Feedback T Wha Bequest Answer ? MPA, MPA, MPA
(b) Mohr's circle, invented by Christian Otto Mohr, is a graphical representation of the transformation law for the stress system. Use Mohr's circle to determine the stresses on an element inclined at 30° clockwise to the state of plane stress system as shown in Figure 1 and show the corresponding stress elements. Q2 (a) It is important im 80 MPa 50 MPa Ľ 50 MPa Figure 1 80 MPa 25 MPa
2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m? (tensile) and 70 MN/m2 (Compressive). The shear stress across the planes is 65 MN/m2. Find the following by Mohr's Circle method and compare with Analytical solutions: (i)The Normal stress on a plane making an angle of 50° with the plane of first stress. (ii)Shear stress on the plane (iii) Maximum shear stress (iv) Resultant stress and it's direction. (v) Major and minor principal stresses.
Angle 1 Tyx Tyx Figure 1 Point A- x-direction stress 60MPA(compression), y-direction stress 40MPA(tension), negative shear stress 30MPA Using your assigned point determine the following for the yz-plane: a) From basic priciples determine the stresses on the plane of the indicated angle 1-30°, Show al calculations. Draw the orientation of the stress block for this scenario. b) Repeat question (a) using a Mohr circle. c) Using a Mohr circle, determine and draw the maximum stress block of the in-plane maximum shear and principle stresses. d) Determine the stresses and orientation of the stress block where the normal stress is zero. Make use of the stress transformation equations. e) Determine the values of absolute maximum shear stress and corresponding normal stress.
The state of stress at a point on a thin plate is as shown in the left side of the Figure below. Determine the state of stress (ox, oy, txy) represented on the element oriented as shown on the right. 120 Sigma_x^prime (MPa) 200 Sigma_y^prime (MPa) 60 Tau_xy^prime (MPa) 30 Alpha (degrees) O x' Oy Txy' Txy Ox
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
The state of stress at a point on an element of material is shown. Let sigmaX= 49.0 ksi, sigmaY= 17.0 ksi, and Txy= 11.0 ksi. Use this information to represent the principle state of stress and maximum in plane shear stress. Plot the mohr circle and state sigmaX' and sigmaY' and Tx'y' with unit. Also draw the state of stress on the rotated element.
Given a stress state of ø, = -4 MPa, øy = 12 MPa, ty = 7 MPa ccw 1) Draw a properly oriented stress element illustrating this state of stress 2) Using Mohr's circle, find the principal stresses and directions, and show these on a stress element correctly aligned with respect to the xy coordinates. Draw another stress element to show zi and 72, find the corresponding normal stresses, and label the drawing completely. 3) Use the plane-stress transformation equations to validate your answers in part 2
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 Draw the Planes of Principal and Maximum Shear Stresses Provide "full" details and Use 3 Sig. Fig. in this problem Oy = 15 Ksi Tcw → S Txy= -5 ksi Ox = 10 Ksi Tyx = 5 Ksi 10 5 -20 -10 5 10 15 20 5 10 Tccw → S'
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).