The articular Cartilage is subjected to plane stress with normal stresses ox , o, and shear stress Txy, as shown in the figure. At a counterclockwise angle e = 30° from the x-axis, the normal stress is 3 MPa tension, and at an angle e = 50°, it is 2 MPa compression. Find the principals stresses. Ty 0, =10 MPa

When there is a plane stress condition as shown in the figure, display this stress in the form of the maximum in-plane shear stress and the corresponding average vertical stress.

7.2-5 The stresses acting on element A on the web of a train rail (see figure part a) are found to be 6500 psi tension in the horizontal direction and 18,500 psi com- pression in the vertical direction (see figure part b). Also, shear stresses with a magnitude of 3800 psi act in the directions shown. Determine the stresses acting on an element ori- ented at a counterclockwise angle of 30° from the horizontal. Show these stresses on a sketch of an ele- ment oriented at this angle. Can Stock Photo Inc./corepics Cross Section PROBLEM 7.2-5 Can Stock Photo Inc./scanrail A Side View Sa A 18,500 psi T (b) 16500 psi 3800 psi

For the stress state shown in the figure below, use the Mohr’s circle method to determine (a) the maximum and minimum principal stresses, (b) the orientations of the maximum and minimum principal stresses (c) how the principal stresses on a properly oriented element. (d) Draw Mohr’s circle using a ruler and a compass

1. Determine stress distributions of a rotating ring (See the figure below; Angular speed: 0; Mass density: p). a b

Please show full work than you

A cylindrical rod is made of three segments and is subjected to axial loads as indicated in the figure. The diameters of the segments are x = 0.5 in, y = 1 in, and z = 0.5 in. Find the average normal stress at points A, B, and C. Remember that the sign convention is tension positive, and compression is negative. 3 kip A x 9 kip у ac 030 Z B 2021 Cathy Zupke 8 kip C 2 kip The average normal stress at A is σ A = The average normal stress at B is σB = The average normal stress at C is σc = ksi. ksi. ksi.

Calculate non-zero stress components (normal and shear) at points A, B and C. Point C is located at the center of the cross section attached to the wall. Calculate non-zero strain components at point B. Neglect shear stress due to shear force. Given: loading F = 400 N, P-2000 N, and T = 75 N·m, Young's modulus E = 70 GPa, Poisson's ratio v = 0.25 15-mm D. -100 mm

A thin-walled cylindrical pressure vessel of inner radius r = 0.6 cm and a thickness of 0.06 cm is subjected simultaneously to internal gas pressure p = 3.5 MPa, a compressive force F = 800 N acting at the ends, and a torsional load of 25 N · m (see figure). Determine the following quantities (a) the principal stresses at a point H on the surface of the vessel and the absolute maximum shear stress; (b) the normal strain along x-axis (ɛx) and the shear strain (yxy) at the same point H. See the established Oxy coordinate system. The Young's modulus of the material is 200 GPa and the Poisson's ratio is 0.3. Hint: the cross-section of the vessel can be regarded as a hollow tube and the cross-section area can be calculated as 1(0.00662 – 0.006²). You can do the same treatment for the polar moment inertia. 25 N· m F F H X 25 N· m

Q5: Draw the Mohr's Circle of the stress element shown in figure. Find: - The stresses acting on inclined plane A-B with Y -axis. A 60 6 MPa B 6 MPa 6 MPa