6. Find the maximum principal stress for the state of plane stress illustrated here: a. 20,000...
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
Consider the following stress state in plane stress: Qx = 120 MPa Qy = -30 MPa Txy = 70 MPa a) Calculate the two in-plane principal stresses and show the principal stress state on a properly oriented stress element. b) Calculate the maximum in-plane shear stress. c) Calculate the maximum out-of-plane shear stress. On what plane (x-z or y-z) does this shear stress occur?
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...
Problem 3 For the following stress state, draw a Mohr's circle diagram, find the principal stresses and maximum normal stress. Also determine 'clockwise' rotation necessary to achieve o. ax 10 ksi, ay 24 ksi, txy 6 ksi
Determine the principal planes and the principal stresses for the state of plane stress resulting from the superposition of the two states of stress shown. Given: X=12 ksi. 14 ksi 12 ksi 45° + + X The orientation of the principal plane in the first quadrant is 176 The orientation of the principal plane in the second quadrant is The maximum principal stress is 35 ks, and the minimum principal stress is - ksi.
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, o, and O2 and their corresponding principal angles, 0p1,0p2 and show all of these on your Mohr's circle construction and a properly oriented stress element c. Calculate the maximum shear stresses, ITmax and their corresponding angles of maximum...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
t. For the given state of stress determine a) The principal plane and the principal stresses b) The masimum in-plane shear stress e) The average normal stress d) The erientation of the stress for each case e) Draw the Mohr circle → 35 MPa 60 N
1000 psi 9. For stress conditions on the element shown, find the principal stresses and the plane on which the maximum principal stress acts. Use the analytical method (stress transformation equations). Draw the two principal stress 3000 psl 3000 psi 5000 psi elements and maximum shear element
please show all work.
An element is subjected to the following plane stress condition. The maximum principal stress in psi is most nearly: 10 psi 20 psi A. 30 B.75 C. 200 D. 24.14