Part AAOr, Try50°VE ΑΣΦ60 MPaDetermine the stress components acting on the inclined plane AB in (Figure 1), where Tzy - -40.3 MPa.Solve the problem using the stress transformation equations.Express your answers, separated by a comma, to three significant figures.↓↑Bvec80 MPa?MPa, MPa+

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Answered: Determine the stress components acting…

Determine the stress components acting on the inclined plane AB in (Eigure 1), where Tzy = Solve the problem using the stress transformation equations. -40.3 MPa.

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 7.2.19P: At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with...

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At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
Determine the equivalent state of stress on an element at the same point onented 30° counterclockwise with respect to the element shown in the figure below Suppose that |o₂|= 102 MPa, la,l= 80 MPa (Figure 1) Figure Part C TI'Y' 1 of 1 Submit HA Part A Value Determine d Express your answer to three significant figures and include the appropriate units. Part B μA Submit Request Answer ay = Value Request Answer 1 Determine dy Express your answer to three significant figures and include the appropriate units. μA Value Submit Request Answer Determine Tr'y' Express your answer to three significant figures and include the a C Units CE ? Units Units ?
▼ Part A - State of Stress on an Inclined Plane The state of stress at a point in a member is shown on the rectangular stress element in (Figure 3), the magnitudes of the stresses are lo 100 MPa, |oy| = 35 MPa, and Try| = 49 MPa. = Using the stress-transformation equations, determine the state of stress on the inclined plane AB. Express your answers, separated by a comma, to three significant figures. ► View Available Hint(s) Or Try Submit VE ΑΣΦ ↓↑ Previous Answers vec X Incorrect; Try Again; 3 attempts remaining ? Part B - Clockwise Rotation of a Stress Element with Only One Normal Stress MPa, MPa Figure ▼ 60° 15⁰ Part A State of Stress on an Inclined Plane B 3 of 6 O 8
The state of plane stress at a point is represented by the element shown in the figure. Oy o, = 200 Mpa oy = 450 Mpa Txy Try 3D200 Мра Click here to see all formulas Ox Part A - Determine the maximum principal stress in Mpa. O 253 О 355 O 507 O 760 O 608 Submit Request Answer O O O O O
The rod has a diameter of 40 mm. It is subjected to the force system Fx 1300 N, Fy = 600 N, F₂ = 900 N. (Figure 1) Figure F Fy 300 mm 100 N-m 100 mm B 1 of 1 x Part A Determine the normal stress that acts at point B. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. OB = Submit Part B (TB) xy Submit ☐ Part C O μĂ Value Determine the shear stress (TB) xy that acts at point B. Express your answer to three significant figures and include the appropriate units. Correct (TB)xz Request Answer = 0 MPa Previous Answers Units Determine the shear stress (TB) xz that acts at point B. Express your answer to three significant figures and include the appropriate units. μĂ Value ? MPa Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ? <
In (Figure 1), Tzy = 57.7 MPa. Figure 80 MPa T ▼ Part A Determine the principal stresses. Specify the orientation of the element. Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval (-90°; 90°]. 01, 02, 0p1 = Submit Part B IVE] ΑΣΦ 41 Ivec Request Answer Submit T max =, Javg, ₂ = In-plane Determine the maximum in-plane shear stress and average normal stress. Specify the orientation of the element. Express your answers, separated by commas, to three significant figures. Choose the angle from the half-interval (-90°; 90°]. Request Answer < Return to Assignment 15] ΑΣΦ 41 | vec ↑ S ? Provide Feedback D MPa, MPa, º ? MPa, MPa, 0
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
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 <
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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.
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