Material: Copper Alloy; Elastic Modulus, E $=16\mathrm{.}0$ Mpsi; Poisson's Ratio, v $=0\mathrm{.}343$; Yield

Strength, ${}_o=4\mathrm{.}83$ksi; Tensile Strength, ${}_u=30\mathrm{.}5$ksi

The beam geometry and load configuration is shown in the following figure:

The measured strains with the $3$ lb load applied were

${}_A=102,{}_B=-54,{}_C=26(5$ points$)$ Use your "Experimental Mohr's Strain Circle" to calculate the strain on a

single strain gage mounted such that the axis through this gage is oriented $30$ degrees

clockwise from the L$-$axis of the beam. Use the Mohr's Circle and Hooke's Law to

determine the normal stress component on the plane of a stress element oriented $30$

degrees clockwise from the L$-$axis. In other words, what would a $30$ degree clockwise

off L$-$axis $($longitudinal axis$)$ strain gage read when the $3-$pound load is applied, and

what is the measured normal stress in that direction?

$(5$ points$)$ Use your "Theoretical Mohr's Stress Circle" to determine the theoretical

normal stress on an element face or plane rotated $30$ degrees counterclockwise from

the T$-$axis $($transverse axis$),$ and then determine the predicted normal strain in the

direction of that axis. In other words, what is the theoretical normal stress on an

element face oriented $30$ degree counterclockwise off the T$-$axis with the $3-$pound

load applied, and what is the predicted theoretical normal strain in that direction?