7.57 Determine the principal planes and the principal stresses for the state of plane stress resulting...
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.
Problem 1: Determine the principal stresses and corresponding principal stress planes for the state of stress given by 2 0 -2 Show the three principal directions are orthogonal to each other. Express the principal stress direction Problem 2: Transform the stress tensor in Problem 1 toxyz'coordinate system. The direction cosines of the x'; y'and z' axes are respectively0nd0, V5V5
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
Problem 4 (Plane Stress State: Principal Stresses) Given the stress acting uniformly over the sides of a thin, flat plate, determine: 1. The stresses on planes inclined at 20 to the horizontal. 2. The principal stresses and their orientations. To 30° 10° 20°
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
For the given state of stress, determine (a) the principal planes, (b) the principal stresses 0 MPa 35MPa 0 MP
URGENT!!!
3. For the given state of stress, determine a) the principal planes, b) the principal stresses, and c) the maximum shear stress 20MP 3y
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 250 MPa 175 MPa 200 MPa Prob. 9-16
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average...
8.42A 13-kN force is applied as shown to the 60-mm-diameter cast-iron post ABD. At point H, determine (a) the principal stresses and principal planes, (b) the maximum shearing stress 13 kN 300 mm 100 mm 125 mm 150 mm Fig. P8.42
8.42A 13-kN force is applied as shown to the 60-mm-diameter cast-iron post ABD. At point H, determine (a) the principal stresses and principal planes, (b) the maximum shearing stress 13 kN 300 mm 100 mm 125 mm 150 mm...