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Using mathlab: input required m=input(\'Enter Mass of the bean : \'); F1=input(\

ID: 3599818 • Letter: U

Question

Using mathlab:
input required

m=input('Enter Mass of the bean : ');
F1=input('Enter Triangular Distributed Load : ');
F2=input('Enter Rectangular Distributed Load : ');
F3=input('Enter Point Load : ');
theta=input('Enter Angle : ');
X1=input('Enter Distance1 : ');
X2=input('Enter Distance2 : ');
X3=input('Enter Distance3 : ');
X4=input('Enter Distance4 : ');

g=9.91;

a)Convert the triangular distributed distance load (F1) into point load (P1y) and find its distance (d1) from pin A
P1y=1/2*x1*F1
d1=x1/3

b)Convert the rectangular distributed load (F2) into point load (P2y) and find its distance (d2) from pin A 2
P1y=1/2*x1*F1
d1=x1/3

c)Convert the rectangular distributed load (F2) into point load (P2y) and find its distance (d2) from pin A 2
P2y=x2*F2
d2=x1+(x2/2)

d)convert the angle from degree to radian
angle radains=(theta*3.14)/180

e)Resolve the point load (F3) into x-direction (P3x)
P3x=F3*sin theta

f)Resolve the point load (F3) into y- direction (P3y)
P3y=F3*cos theta

g)Find the distance (d3) between the point load (F3) and pin A
d3=(x1+x2+x3+x4)*sin theta

h)Find the horizontal reaction force at pin A (RAx)
RAx=P3x

i)Find the vertical reaction force at roller B (RBy)
RBy=(P3y*(x1+x2+x3+x4)+P2y*d2+P1y*d1)/(x1+x2+x3)
-
g)Find the vertical reaction force at pin A (RAy)
Ray=P1y+P2y-RBy+P3y

k)Find the resultant reaction force (RA)
RA=square root RAx square+RAy square

l)Write an output function to display the horizontal reaction force at pin A (RAx)

m)Write an output function to display the vertical reaction force at pin A (RAy)

n)Write an output function to display the resultant reaction force at pin A( RA)

o)Write an output function to display the vertical reaction force at roller B (RBy

Explanation / Answer

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Different forces have been calculated in different forms as given in the question. Each part has been written in each function and returns the required value. The function gives the values according to the inputs provided. A sample input output has been given at the end of the code.
Hope this helps.
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m=input('Enter Mass of the bean : ');
F1=input('Enter Triangular Distributed Load : ');
F2=input('Enter Rectangular Distributed Load : ');
F3=input('Enter Point Load : ');
theta=input('Enter Angle : ');
X1=input('Enter Distance1 : ');
X2=input('Enter Distance2 : ');
X3=input('Enter Distance3 : ');
X4=input('Enter Distance4 : ');
g=9.91;
function d1 = triangulartopoint(X1,F1)
    P1y=1/2*X1*F1;
    d1=X1/3;
end
function d2 = rectangulartopoint(X1,X2,F2)
    P2y=X2*F2;
    d2=X1+(X2/2);
end
function radian = degreetoradian(theta)
    radian=(theta*3.14)/180;
end
function P3x = loadx(F3,theta)
    P3x=F3*sin(theta);
end
function P3y = loady(F3,theta)
    P3y=F3*cos(theta);
end
function d3 = distance(X1,X2,X3,X4,theta)
    d3=(X1+X2+X3+X4)*sin(theta);
end
function RAx = horizontalreaction(P3x)
    RAx=P3x;
end
function RBy = verticalreactionB(X1,X2,X3,X4,d1,d2,P1y,P2y,P3y)
    RBy=(P3y*(X1+X2+X3+X4)+P2y*d2+P1y*d1)/(X1+X2+X3);
end
function RAy = verticalreactionA(P1y,P2y,P3y,RBy)
    RAy=P1y+P2y-RBy+P3y;
end
function RA = resultant(RAx,RAy)
   RA=sqrt((RAx*RAx)+(RAy*RAy));
end
P1y=1/2*X1*F1;
P2y=X2*F2;
d1 = triangulartopoint(X1,F1);
d2 = rectangulartopoint(X1,X2,F1);
radian = degreetoradian(theta);
P3x = loadx(F3,radian);
P3y = loady(F3,radian);
d3 = distance(X1,X2,X3,X4,radian);
RAx = horizontalreaction(P3x);
RBy = verticalreactionB(X1,X2,X3,X4,d1,d2,P1y,P2y,P3y);
RAy = verticalreactionA(P1y,P2y,P3y,RBy);
RA = resultant(RAx,RAy);
printf(" The horizontal reaction force at pin A (RAx) = %f",RAx);
printf(" The vertical reaction force at pin A (RAy) = %f",RAy);
printf(" The resultant reaction force at pin A (RA) = %f",RA);
printf(" The vertical reaction force at roller B (RBy) = %f",RBy);


****************************************************************************************
SAMPLE INPUT / OUTPUT:
****************************************************************************************
Enter Triangular Distributed Load : F1 = 122
Enter Rectangular Distributed Load : F2 = 564
Enter Point Load : F3 = 356
Enter Angle : theta = 45
Enter Distance1 : X1 = 10
Enter Distance2 : X2 = 20
Enter Distance3 : X3 = 30
Enter Distance4 : X4 = 40

The horizontal reaction force at pin A (RAx) = 251.629764
The vertical reaction force at pin A (RAy) = 7928.224295
The resultant reaction force at pin A (RA) = 7932.216463
The vertical reaction force at roller B (RBy) = 4213.605929
*****************************************************************************************

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