Please solve all 1. As a section cut in a prismatic bar varies from 0 = 0° to 180° at what values of 0 will the maximumvalues of normal stress and shearing stress occur, respectively?2. Draw a generic stress element with no values, using only variables (0, for example) and arrows, thatcorrectly shows the following:• Normal stress in the y-direction (o,) is positive• Normal stress in the x-direction (0.) is negative• Shear stress (Tw) is negative3. A circular steel bar is subjected to an axial compressive load of 175 kN. The bar has a diameter of55mm. Calculate the maximum normal and shearing stresses in the bar in Mpa.4. A square prismatic bar with cross section dimensions a = b = 76.2 mm is subjected to an axial tensileload of P = 200 kN, as seen below. Determine the normal and shearing stresses on all faces of anelement oriented using W = 35° as seen below. Units of stress should be MPa.bcrosssection

1. As a section cut in a prismatic bar varies from 0 = 0° to 180° at what values of 0 will the maximum values of normal stress and shearing stress occur, respectively? 2. Draw a generic stress element with no values, using only variables (0, for example) and arrows, that correctly shows the following: • Normal stress in the y-direction (o,) is positive • Normal stress in the x-direction (0.) is negative • Shear stress (Ty) is negative 3. A circular steel bar is subjected to an axial compressive load of 175 kN. The bar has a diameter of 55mm. Calculate the maximum normal and shearing stresses in the bar in Mpa. 4. A square prismatic bar with cross section dimensions a = b = 76.2 mm is subjected to an axial tensile load of P = 200 kN, as seen below. Determine the normal and shearing stresses on all faces of an element oriented using W = 35° as seen below. Units of stress should be MPa. cross section

1. As a section cut in a prismatic bar varies from 0 = 0° to 180° at what values of 0 will the maximum values of normal stress and shearing stress occur, respectively? 2. Draw a generic stress element with no values, using only variables (0, for example) and arrows, that correctly shows the following: • Normal stress in the y-direction (o,) is positive • Normal stress in the x-direction (0.) is negative • Shear stress (Ty) is negative 3. A circular steel bar is subjected to an axial compressive load of 175 kN. The bar has a diameter of 55mm. Calculate the maximum normal and shearing stresses in the bar in Mpa. 4. A square prismatic bar with cross section dimensions a = b = 76.2 mm is subjected to an axial tensile load of P = 200 kN, as seen below. Determine the normal and shearing stresses on all faces of an element oriented using W = 35° as seen below. Units of stress should be MPa. cross section

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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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.
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
At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: All three principle stresses, the max in plane shear stress, average normal stress and absolute max shear stress
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).
Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.
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)
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.
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!
The stress-strain curve for mild steel is shown in figure given below. Choose the correct option referring to both figure and table. R Point on the graph Description of the point 1. Upper yield point 2. Ultimate tensile strength P. Q. 3. Proportionality limit 4. Elastic limit 5. Lower yield point U. 6. Failure ORST
At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: -all 3 principle stresses, the max in plane stress, average noemal stress and the absolut max shear stress. - Show the principle stress, the max inplane shear stress and the average normal stress on an appropriate schematic
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