Design a load cell to measure axial loads with maximum sensitivity up to $1000$ MN$.$ The load cell should be insensitive to bending and torsion loads.Step $1$: Using the Wheatstone bridge equation, design the placement for the gauges. $($Hint: Use all four arms of the bridge$).$Step $2$: Size the steel member assuming using the WA$-06-500$AE$-350$ gauges with Ag $=161\mathrm{.}33$ mm$^2.($Note: $350$ Ohm gauges are used because of their increased sensitivity$.$ Also note that the typical voltage output to excitation voltage is $0\mathrm{.}003($Vo$/$Vs$).$ This represents a typical voltage that can be measured using electrical instruments measuring voltage $($before gain$).$ Use steel with a yield strength of $1000$ MPa and modulus of elasticity of $209$ GPa and Poisson ratio of $0\mathrm{.}3.$a$)$ Assume a circular cross$-$sectionb$)$ Assume a square cross$-$sectionStep $3$: Check the strains in the gauges at the maximum load to make sure that fatigue is not going to be an issue $($For the strain gauge proposed, the strains have to be lower than $3000$ microstrains to prevent fatigue damage$).$Step $4$: Determine the maximum excitation voltage to use based on the power dissipation of the gauges. Assume P$\_0=0\mathrm{.}003\backslash ,\backslash$text$\{$W$/$mm$\}^2.$Step $5$: If a load of $500$ MN is applied, what is the voltage that will be created in the Wheatstone bridge? $($Assume a $10$ Volt excitation is used on the bridge$).$