The state of strain on an element has components = -280(10-6), ɛ, = 120(10-6), Yæy = 180(10-6). Specify the orientation of the corresponding elements for these states of strain with respect to the original element. (Figure 1) Ex =

Solve parts (a) to (c) using transformation equations only (not Mohr's circle), and show the complete state of stress with the appropriate stress element properly oriented relative to the given xy coordinate system. Given the state of plane stress shown, (a) determine the state of stress for an element oriented 20° clockwise relative to the given xy coordinate system. (b) determine the state of stress for the element containing the principal stresses. (c) determine the state of stress for the element containing the maximum in- plane shear stresses. (d) determine the state of stress for the element containing the maximum shear stresses. (e) draw Mohr's circle indicating the states of stress and angular orientation found in parts (a) to (c). - 8 MPa 40 MPa 12 MPa x

Part C Determine the equivalent shear stress Try on an element at the same point oriented 45° clockwise with respect to the element shown. Express your answer to three significant figures and include the appropriate units. PH HA ?

Kindly answer correctly. Please show the necessary steps

The brass has a shear modulus (G) of 40 GPa. In the torsion test calculated results, (G) was found to be 37 830 MPa. What is the percentage of errors in the experiment? Select one: a. 0.54% O b. 5.425% c. 0.05425% O d. 3.779%

Determine the state of stress of a beam at the point shown in Figure 2 to represent: a) the principal stresses; b) the maximum in-plane shear stress and the associated average normal stress. c) For each of the two cases mentioned in (a) and (b), determine the corresponding orientation of the element with respect to the original element shown and sketch the results relative to the longitudinal axis of the beam. Please show the full working to provide sufficient information for the sketching to be complete. 15MPa Figure 2 20° 50MPa

please includde scetch

Derive the relationship between critical resolved shear stress and disloca- tion density given below Terss = To + AVPD

A thin rectangular plate is uniformly deformed as shown. The distance A = 552mm. Determine the shear strain yy at P. State your answer in urad. Note: Do not include units in your answer. -0.8 mm A 1.7 mm 1,000 mm Answer: