Could you please explain the algebra steps step by step in w

Solution

Steps to achieve solution:

Need to calculate moment and forces at point B as it include rope tension and moment due to force on davit.

Shear moment on pinB =Tension force*pin radius......(1)

Moment due to Davis force=25*cos 54*d......(2)

Subtracting equation 1 & 2, Total moment can be calculated.

SHEAR STRESS calculation

tou/radius of pin=T/IZ

Where tou-shear stress

T -total torsional moment

I - moment of Inertia

Z - distance from neutral axis.

From this formula we can get \'Torsional stress\'

From torsional shear stress we can calculate the Factor of safety(FOS) using formula.

FOS= Ultimate shear strength/tou

Similarly for yield strength,

FOS= yield strength/tou for point B