00:01
For the given question we can consider the scenario where there is a rectangular plate and the load over this point is p considering this point as a and this point is b and suppose the length of the it is l therefore the bending moment for the given scenario can be written as m equals to minus of p l and suppose this point over here is x can be written as minus x now using the deflection curve equation deflection curve equation we can say that e i d to v by d x square will be equals to m this we can write e .i d to v by dx square can be written as the value of m that is minus of p l minus x.
01:19
As we can say that d to v by d x squared equals to minus pl by e .i plus px by e .i.
01:33
This can be considered as equation so, if we integrate equation 1, we have the value as dv by dx equals to minus pl by ei x plus p by ei, that is x squared by 2 and a constant will come that is c1 and this can be written as equation 2.
02:02
Thus we have done integration over here.
02:11
Now if we considered an equation 2 as x equals to 0 and we consider that dv by d x is 0.
02:21
So we can say we have 0 equals to minus pl by ei multiplied to 0 plus p by ei multiplied to 0 therefore we get the value of c1 as 0.
02:40
Thus we have dv by d x as minus pl by ei x plus p by ei x plus p by ei x squared by 2.
02:53
Similarly we will consider this as equation 3.
02:56
Again integrating equation 3, we get the value as v equals to minus of pll by e .i...