A plane element removed from a thin-walled cylindrical shell loaded in torsion is subject to the shearing stresses shown in Fig. 3-20. Determine the principal stresses existing in this element and the directions of the planes on which they occur. Ans. 50 MPa at 45° 50 MPa 50 MPa 50 MPa 50 MPa

The critical resolved shear stress for a metal is 24 MPa. Determine the maximum possible yield strength (in MPa) for a single crystal of this metal that is pulled in tension. i MPa

The stresses acting on element A on the web of a train rail (see part (a) of the figure) are found to be 50 MPa tension in the horizontal direction and 140 MPa compression in the vertical direction (see part (b) of the figure). 140 MPa B 50 MPa A A Side View Cross 57 MPa Section (a) (b) Also, shear stresses of magnitude 57 MPa act in the directions shown. Determine the stresses (in MPa) acting on an element oriented at a counterclockwise angle of 52° from the horizontal. (Use the sign convention for stresses acting on inclined sections. Round your answer for o,1 to at least one decimal place.) Ov1 = MPa MPa Oyi MPа Tx1y1 Show these stresses on a sketch of an element oriented at this angle. (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.) Choose File No file chosen

A plane element is subjected to the stresses as shown in Fig. Determine (a) the principal stresses and their directions and (b) the maximum shearing stresses and the directions of the planes on which they occur. 70 MPa 35 MPa 40 MPa

A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm

es A state of stress at a point is the result of two separate actions; one produces the pure shear of 35 MPa shown in figure A and the other produces the pure shear of 30 MPa shown in figure B. 35 MPa -19.86 degrees Y -17.04 degrees -X Figure A Which of the following most nearly gives the principal planes for the combined state of stress? Select the correct response: 35 MPa 30° Figure B 30 MPa 30 MPa 4

The state of stress at a point is the result of two loadings as shown in figure. When acting alone, the first loading produces the 3 MPa pure shear with respect of xy-axis. The second loading alone results in the 4 MPa pure shear with respect to the x'y-axis. The angle between the two sets of axis is 30° as shown. If the two loadings act simultaneously then resultant (absolute) shear stress at that point with respect to x-y axis is MPa (in integer). 3 MPa st 1 loading 2 loading 4 MPa α = 30° x'

At a point on the free surface of a machine component the strain rosette shown in the figure below

1. The stress condition on a two-dimensional infinitesimal material element is shown in Fig. 1 Fig. 1 60 MPа A 50 MPа В 30 MPа A. Describe the state of stress on: (i) Face A (ii) Face B B. State the sign convention for stress components on faces A and B in the: (i) Physical-space (ii) Mohr-Circle-space C. Draw the Mohr circle for the stress element in Fig. 1

FCC single crystal is alligned such that [001] is parallel to the stress axis, σ=100MPa.