The state of strain at the point has components of εx=-100(10-6), εy=-200(10-6), and γxy=100(10-6). use the strain-transformation equations to determine (a) the in-plane principal strains and (b)the maximum in-plane shear strain and average normal strain. in each case specify the orientation of the element and show how the strains deform the element within the x-y plane.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.

What is the heat treatment of metals? what is the benefit of it? why and how it's useful? answer in details, do not write by hand.