Q1. For the given cube below, complete the following: 1.find the center, radius (R), principal normal stresses (0₁ and 03), max shear stress (Tmax) and draw the Mohr's Circle. 2. Find the stresses on a plane that is rotated 60° clockwise from the horizontal plane. 6PSE IPSF 10psT 60⁰ →IPSF 10PSF •6PSF

Need only handwritten solution only (not typed one).

An element in plane stress is subjected to stresses: 0 = 85 MPa, o, = -30 MPa, and Try = 32MPa, as shown in the figure below. (1) Determine the principal stresses and show them on a sketch of a properly oriented element; (2) Determine the maximum shear stresses and show them on a sketch of a properly oriented element. 30MPA 85MPA 32MPа 1

Determine the stress resultants N(x), V(x), M(x) and draw the diagrams of the stress resultants and calculate the extremal values. At first, consider all parameters (F, a, L, ...) as variables and fill in their actual values at the end of your calculation.

Find the Normal Stress at points A, B, and C in the Rod below. Dimensions given are diameters.

use angle of 92 please

For a plane stress state, in the original Oxy system we know the component Ox = 120 MPa and Txy = 60 MPa. After the element (see the left figure) is rotated counterclockwise by 45°, we know the stress component Txryı = -60 MPa in the new Ox'y' system (see right figure). Determine the two principal stresses and the absolute maximum shear stress (ra). y Oy Txıy! x' Txy Ox 45 х

Problem 3. Strains are measured on the surface of a structural component as &A = = 1200 x 10-6. EB = 500 x 10-6, &c = 300 × 10-6. E = 200 GPa and v = 0.3. b) a) Find the principal stresses and show these on a sketch of a properly oriented element. Use Mohr's Circle to find the stresses at 0 = 30° counterclockwise from the x axis and show these on a sketch of a properly oriented element. y 60° C B A X

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).

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