Problem $03\mathrm{.}015-$ Find the center and radius for Mohr's circle and determine the principal normal and

shear stresses

Consider the following plane stress state:

${}_x=-12\mathrm{.}00k,{}_y=22\mathrm{.}00k,{}_{xy}=12\mathrm{.}00kcw$

Calculate the following:

The coordinates of the center of the Mohr's circle $C$

The location of the center of the Mohr's circle $C$ is $($

kpsi,

kpsi$).$

Principal normal stresses $({}_1,{}_2)$

The principal normal stresses are ${}_1=$

kpsi and ${}_2=$

kpsi. $($Round the final answers to three decimal

places.$)($Include a minus sign if necessary.$)$

Maximum shear stress $(T)$

The maximum shear stress is $20\mathrm{.}809$ kpsi $.($Round the final answer to three decimal places.$)$

The angle from the $x$ axis to ${}_1({}_p)$

The angle from the $x$ axis to ${}_1({}_p)$ is ${?}^{\text{c}\text{d}\text{o}\text{t}\text{s}\text{c}\text{d}\text{o}\text{t}\text{s}\text{c}\text{d}\text{o}\text{t}\text{s}\text{c}\text{d}\text{o}\text{t}\text{s}\text{c}\text{d}\text{o}\text{t}\text{s}}cW.$

The angle from the $x$ axis to $({}_s)$

The angle from the $x$ axis to $({}_8)$ is $27\mathrm{.}391CW.$

The radius of the Mohr's circle

The radius of the Mohr's circle is $20\mathrm{.}809$ kpsi. $($ROUND THE FINAL ANSWER TO THREE DECIMAL PLACES PLEASE!$)$ THANKS