Introduction

We have a penstock that has a gate that moves along the y$-$axis. The actuation force of $20270\mathrm{.}53$ N is required to open the gate under the nominated differential head of $2\mathrm{.}4$m measured from the sill plate at the bottom.

Determine the required torque at the above$-$mentioned load condition, Assuming the spindle thread is $($M$35$ x $6$mm PITCH RH THREAD $($SS$-316)$ ANTI CLOCKWISE CLOSING$)$ and that the door nut material is Aluminium Bronze with a spindle$-$to$-$nut friction coefficient of $0\mathrm{.}2$

Also, determine the rim pull $($tangential force in Newton to the rim of the hand wheel$)$ at this load condition, assuming that the Actuator has an internal Handwheel to drive nut gearing ratio of $8$:$1$

the internal gearing efficiency is $85\%$

handwheel dia is $300$mm

Actuator Assembly has a mass of $55\mathrm{.}90$ kg

Please assume where needed and mention.

Also, explain every step.