
please show all work. An element is subjected to the following plane stress condition. The maximum...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the element is also subject to: Average normal stress Undefined normal stress O Maximum normal stress O Zero normal stress Question 43 On Mohr's Circle, the sign convention is: O Positive normal stress to the right, positive shear stress down Positive normal stress to the left, positive shear stress up o Positive normal stress to the left, positive shear stress down o Positive normal stress...
For the state of stress shown:
a) Determine the in-plane principal stresses and the maximum
in-plane shear stress.
b) Show these stresses on a properly oriented element.
c) Determine the maximum shear stress d) How do these (a, b, c)
change if z = -20 MPa (20 MPa in compression)?
With detialed explination please! Much appreciated
90 MPa 20 MPa 60 MPa
150A 4. A machine element is subjected to the following respective maximum and minimum stress states (all values are in MPa): nt Name: Minimum: Maximum: 800 200 -150 -600 -300 500 -150 200 The endurance limit for the machine elements when corrected for all of its Marin factors is 925 MPa. Please determine the life of the machine element nder this load assuming a finite life and using Goodman line equation. Ote: The state of stress is two dimensional but...
The figure below shows the stress condition at a point. a) Draw a Mohr circle for the stress condition b) Locate the Pole c) Estimate magnitude of major and minor principal stresses and orientation of the principal planes graphically and algebraically, and compare the results. d) Estimate the maximum shear stress Show all your work and label all the points. ?,-1400 psf 00 psi ox- 600 psf Tyx 200 psf
Question 5 The state of plane stress at a point on the surface of a structural element is represented on an unrotated element as shown. 10 psi 40 psi 90 psi I The principal stresses are most nearly: 64 psi and -64 psi 90 psi and -10 psi 40 psi and -40 psi
Problem 73-2 An element in plane stress is subjected to stresses σ.-105 MPa, dry-75 MPa, and Try-25 MPa (see the figure for Prob. 7.2-2) Determine the principal stresses and show them on a sketch of a properly oriented element.
Question 2 (2 points) element is subjected to plane stresses that generate the Mohr's circle shown. Mohr's Sircle xy (ksi maximum principle stress is most nearly: ugh information provided
6. Find the maximum principal stress for the state of plane stress illustrated here: a. 20,000 psi b. 25,620 psi c. 10,000 psi d. 20,620 psi Txy 20,000 psi ?,-10,000 psi