00:01
Hi, so we are given that a cantilever beam supported at a point a.
00:10
So let me draw that beam first.
00:13
So this cantilever beam is supported at this point let's suppose this point to be as a.
00:20
Now at this point there is a force applied of 80 kn while for beam in downward direction the force is 32 kn per meter.
00:36
Now this much of distance is given 1 meter and this complete remaining distance is 3 meter.
00:43
So in a part we have to find all the reactions at every of the points.
00:48
So let me get started with a part.
00:50
First of all let's say the reaction at point a will be ra, this point to be as c and this point to be as b.
01:02
So we have to take the moment about clockwise direction.
01:06
So let's say moment about a in clockwise direction.
01:10
So according to the concept we remember that the summation of moment about any point that is b let's say is equals to 0.
01:17
Now moment is nothing but force into that radial distance.
01:21
So from the given this 80 kn multiplied by 1 will be there then plus this 32 multiplied by 3 plus 1 will become how much that is 4.
01:34
This should be equals to the reaction ra.
01:37
So 32 multiplied by 4 plus 80 this will give me the reaction at point a and that will comes out equals to 208 of kn.
01:49
So this will be the required answer for a part of our question.
01:53
Now let's move to the next.
01:55
So basically we have to find the moment about a also.
01:59
So how could we find out that that is summation of moment this should be equals to 0.
02:07
So now in this case minus of 32 multiplied by 4 multiplied by c horizontal component of it sorry vertical component means cosine of theta.
02:19
So it will become 4 by 2 minus of 80 into 3 plus moment about a this should be equals to 0.
02:29
So on solving you will get moment about a is equals to 436 kn per meter.
02:38
So this is also one of the answer for a part.
02:41
Now next in b part we have to draw the bending moment diagram...