initial commit / add all books

14 files changed, 319 insertions, 0 deletions

diff --git a/3137/CH3/EX3.1/Ex3_1.sce b/3137/CH3/EX3.1/Ex3_1.sce
new file mode 100755
index 000000000..db66a1994
--- /dev/null
+++ b/3137/CH3/EX3.1/Ex3_1.sce
@@ -0,0 +1,27 @@
+//Initilization of variables

+F1=150 //lb

+F2=200 //lb

+F3=80 //lb

+F4=180 //lb

+theta1=((30*%pi)/180) //radians

+theta2=((150*%pi)/180) //radians

+theta3=((240*%pi)/180)  //radians

+theta4=((315*%pi)/180)  //radians

+//Calculations

+F1x=F1*cos(theta1) //lb

+F1y=F1*sin(theta1) //lb

+F2x=F2*cos(theta2) //lb

+F2y=F2*sin(theta2) //lb

+F3x=F3*cos(theta3) //lb

+F3y=F3*sin(theta3) //lb

+F4x=F4*cos(theta4) //lb

+F4y=F4*sin(theta4) //lb

+Fx=F1x+F2x+F3x+F4x //lb

+Fy=F1y+F2y+F3y+F4y //lb

+R=sqrt(Fx^2+Fy^2) //lb

+theta=((atan(Fy/Fx))*180)/%pi //degrees

+theta_R=360+theta //degrees

+//Result

+clc

+printf('The resultant of the force system is:%f lb\n',R) //lb

+printf('The resultant is at :%f degrees',theta_R) //degrees

diff --git a/3137/CH3/EX3.10/Ex3_10.sce b/3137/CH3/EX3.10/Ex3_10.sce
new file mode 100755
index 000000000..669d0c68b
--- /dev/null
+++ b/3137/CH3/EX3.10/Ex3_10.sce
@@ -0,0 +1,36 @@
+//Initilization of variables

+F1=100 //lb

+F2=80 //lb

+F3=120 //lb

+F4=150 //lb

+theta1=((60*%pi)/180) //radians

+theta2=((45*%pi)/180) //radians

+theta3=((90*%pi)/180) //radians

+theta4=((75*%pi)/180) //radians

+//Distance from point O

+x1=-5 //ft

+y1=20 //ft

+x2=10 //ft

+y2=10 //ft

+x3=25 //ft

+y3=25 //ft

+x4=35 //ft

+y4=15 //ft

+//Calculations

+Fx=F1*cos(theta1)+F2*cos(theta2)+F4*cos(theta4) //lb

+Fy=-F1*sin(theta1)+F2*sin(theta2)-F3-F4*sin(theta4) //lb

+R=sqrt(Fx^2+Fy^2) //lb

+theta=atan(Fy/Fx) //radians

+theta_x=(theta*180)/%pi //degrees

+M_O=-(F1*cos(theta1)*y1)+(-x1)*(F1*sin(theta1))-(x2)*(F2*cos(theta2))+(y2)*(F2*sin(theta2))-(x3*F3)-(y4*F4*cos(theta4))-(x4*F4*sin(theta4)) //lb-ft

+//Applying varignons theorem

+x=M_O/Fy //ft

+y=-M_O/Fx //ft

+//Results

+clc

+printf('The resultant of the force system is:%f lb\n',R) //lb

+printf('The resultant acts at %f degrees with respect to X-Axis \n',theta_x) //degrees

+printf('The moment about point O is:%f lb-ft \n',M_O) //lb-ft

+printf('The x intercept of resultant is:%f ft\n',x) //ft

+printf('The y intercept of resultant is:%f ft\n',y) //ft

+//Answer for angle should be negative which has not been mentioned in the tectbook but a schematic shows the angle in fourth quadrant to clarify the doubt 

diff --git a/3137/CH3/EX3.11/Ex3_11.sce b/3137/CH3/EX3.11/Ex3_11.sce
new file mode 100755
index 000000000..20ed04db3
--- /dev/null
+++ b/3137/CH3/EX3.11/Ex3_11.sce
@@ -0,0 +1,18 @@
+//Initilization of variables

+F1=150 //lb

+F2=80 //lb

+F3=100 //lb

+F4=50 //lb

+theta1=((45*%pi)/180) //radians

+r=3  //units

+//Calculations

+Fh=F1-F3*cos(theta1) //lb

+Fv=F4-F2-F3*sin(theta1) //lb

+R=sqrt(Fh^2+Fv^2) //lb

+//Applying the Varignons Theorem

+a=(F4*r-F1*r+F2*r-F3*r)/R //units

+//Result

+clc

+printf('The resultant of the force system is:%f lb \n',R) //lb

+printf('The resultant acts at %f units form the point O',a) //units

+//Negative sign indicates a negative moment caused by the resultant

diff --git a/3137/CH3/EX3.12/Ex3_12.sce b/3137/CH3/EX3.12/Ex3_12.sce
new file mode 100755
index 000000000..e969be3b2
--- /dev/null
+++ b/3137/CH3/EX3.12/Ex3_12.sce
@@ -0,0 +1,23 @@
+//Initilization of variables

+F1=150 //lb

+F2=200 //lb

+F3=200 //lb

+F4=225 //lb

+M=900 //lb-ft

+Theta1=(45*%pi)/180 //radians

+Theta2=(30*%pi)/180 //radians

+x1=3 //ft

+x2=15 //ft

+x3=12 //ft

+x4=6 //ft

+//Calculations

+Fx=F1*cos(Theta1)+F2-F4*cos(Theta2) //Applying sum of all forces equal to zero in X direction

+Fy=F1*sin(Theta1)-F4*sin(Theta2)+F2 //Applying sum of all forces equal to zero in Y direction

+R=sqrt(Fx^2+Fy^2) //lb

+theta=atand(Fy/Fx) //degrees

+M_o=x1*F2-x2*F1*cos(Theta1)+x3*F1*sin(Theta1)-x4*F2+M+x4*F4*cos(Theta2)-x1*F4*sin(Theta2) //Moment about point O

+x=M_o/Fy //Varignons Theorem 

+//Result

+clc

+printf('The x intercept of resultant position is %f\n',x)

+printf('The Resultant is %f lb and acts at an angle of %f degrees',R,theta)

diff --git a/3137/CH3/EX3.13/Ex3_13.sce b/3137/CH3/EX3.13/Ex3_13.sce
new file mode 100644
index 000000000..5fe8fea04
--- /dev/null
+++ b/3137/CH3/EX3.13/Ex3_13.sce
@@ -0,0 +1,20 @@
+//Initilization Of Variables

+a=0 //Lower Limit oF the Integral

+b=6 //Upper Limit of the Integral

+n=10 //Interval of the integral

+l=20 //lb/ft

+//Calculation

+//Using Trapezoidal Rule for Intergration 

+R=(b-a)*l

+function[I2]=Trap_Composite2(f1,a,b,n)

+    h=(b-a)/n

+    t=linspace(a,b,n+1)

+    I2=(h/2)*((2*sum(f1(t)))-f1(t(1))-f1(t(n+1)))

+endfunction

+deff('[y1]=f1(t)','y1=20*t')

+d=Trap_Composite2(f1,a,b,n)/R //ft

+//Result

+clc

+printf('The value of R is:%i lb\n',R)

+printf('The value of d is:%i ft',d) 

+

diff --git a/3137/CH3/EX3.14/Ex3_14.sci b/3137/CH3/EX3.14/Ex3_14.sci
new file mode 100755
index 000000000..e2331fed4
--- /dev/null
+++ b/3137/CH3/EX3.14/Ex3_14.sci
@@ -0,0 +1,24 @@
+//Initilization Of Variables

+a=0 //Lower Limit oF the Integral

+b=9 //Upper Limit of the Integral

+n=10 //Interval of the integral

+//Calculation

+//Using Trapezoidal Rule for Intergration 

+function[I1]=Trap_Composite1(f,a,b,n)

+    h=(b-a)/n

+    t=linspace(a,b,n+1)

+    I1=(h/2)*((2*sum(f(t)))-f(t(1))-f(t(n+1)))

+endfunction

+deff('[y]=f(t)','y=(t/9)*30') //y defined as a function of t and not x

+function[I2]=Trap_Composite2(f1,a,b,n)

+    h=(b-a)/n

+    t=linspace(a,b,n+1)

+    I2=(h/2)*((2*sum(f1(t)))-f1(t(1))-f1(t(n+1)))

+endfunction

+deff('[y1]=f1(t)','y1=(t^2/9)*30')

+d=Trap_Composite2(f1,a,b,n)/Trap_Composite1(f,a,b,n) //m

+//Result

+clc

+printf('The value of d is:%f m\n',d) //m

+printf('The value of R is %f N',Trap_Composite1(f,a,b,n)) //N

+

diff --git a/3137/CH3/EX3.2/Ex3_2.sce b/3137/CH3/EX3.2/Ex3_2.sce
new file mode 100755
index 000000000..d262aaf64
--- /dev/null
+++ b/3137/CH3/EX3.2/Ex3_2.sce
@@ -0,0 +1,21 @@
+//Initilization of variables

+F1=50 //N

+F2=100 //N

+F3=30 //N

+//Calculation

+//The book has a misprint for squareroot of 1^2

+F1x=F1/sqrt(2) //N 

+F1y=F1/sqrt(2) //N

+F2x=-(F2*3)/sqrt(10) //N

+F2y=(-F2)/sqrt(10) //N

+F3x=F3/sqrt(5) //N

+F3y=(-F3*2)/sqrt(5) //N

+Fx=F1x+F2x+F3x //N

+Fy=F1y+F2y+F3y //N

+R=sqrt(Fx^2+Fy^2) //N

+theta=atan(Fy/Fx) //radians

+theta_x=180+(theta*180)/%pi //degrees

+//Result

+clc

+printf('The resultant is:%f N\n',R) //N

+printf('The resultant makes an angle of:%f degrees',theta_x)  //degrees

diff --git a/3137/CH3/EX3.3/Ex3_3.sce b/3137/CH3/EX3.3/Ex3_3.sce
new file mode 100755
index 000000000..8aa60849c
--- /dev/null
+++ b/3137/CH3/EX3.3/Ex3_3.sce
@@ -0,0 +1,17 @@
+//Initilization of variables

+F1=70 //lb

+F2=100 //lb

+F3=125 //lb

+theta1=0 //radians

+theta2=((10*%pi)/180) //radians

+theta3=((30*%pi)/180) //radians

+//Calculations

+Fx=F1-(F2*cos(theta3))-(125*sin(theta2)) //lb

+Fy=125*cos(theta2)-(100*sin(theta3)) //lb

+R=sqrt(Fx^2+Fy^2) //lb

+theta=atan(Fy/Fx) //radians

+theta_x=180+(theta*180)/%pi //degrees

+//Result

+clc

+printf('The resultant of the force system is:%f lb\n',R) //lb

+printf('The resultant is at %f with respect to the X-Axis degrees',theta_x) //degrees

diff --git a/3137/CH3/EX3.4/Ex3_4.sce b/3137/CH3/EX3.4/Ex3_4.sce
new file mode 100755
index 000000000..ba329cd29
--- /dev/null
+++ b/3137/CH3/EX3.4/Ex3_4.sce
@@ -0,0 +1,22 @@
+//Initilization of variables

+F1=-20 //N

+F2=30 //N

+F3=5 //N

+F4=-40 //N

+//Distances with respect to point O

+x1=6 //m

+x2=0 //m

+x3=8 //m

+x4=13 //m

+//Calculations

+R=F1+F2+F3+F4 //N

+//Applying moment about point O equal to zero

+M_O=-(F1*x1)+(F2*x2)+(F3*x3)+(F4*x4) //N-m

+//Applying moment about point O equal to R*x

+x=M_O/R //m

+//Result

+clc

+printf('The resultant of force system is:%f N\n',R) //N

+printf('The moment about point O is:%f N-m\n',M_O) //N-m

+printf('The resultant of moment acts at %f meters from point O',x) //m

+

diff --git a/3137/CH3/EX3.5/Ex3_5.sce b/3137/CH3/EX3.5/Ex3_5.sce
new file mode 100755
index 000000000..2ff383b51
--- /dev/null
+++ b/3137/CH3/EX3.5/Ex3_5.sce
@@ -0,0 +1,19 @@
+//Initilization of variables

+F1=-100 //lb

+F2=200 //lb

+F3=-200 //lb

+F4=400 //lb

+F5=-300 //lb

+//Distance with respect to point O

+x1=0 //ft

+x2=2 //ft

+x3=5 //ft

+x4=9 //ft

+x5=11 //ft

+//Calculation

+R=F1+F2+F3+F4+F5 //lb

+M_O=(F1*x1)+(F2*x2)+(F3*x3)+(F4*x4)+(F5*x5) //N-m

+//Result

+clc

+printf('The resultant of the force system is:%i lb \n',R) //lb

+printf('The moment about point O is:%i lb-ft',M_O) //lb-ft

diff --git a/3137/CH3/EX3.6/Ex3_6.sce b/3137/CH3/EX3.6/Ex3_6.sce
new file mode 100755
index 000000000..24301e8c6
--- /dev/null
+++ b/3137/CH3/EX3.6/Ex3_6.sce
@@ -0,0 +1,14 @@
+//Initilization of variables

+F1=20 //lb

+F2=20 //lb

+F3=-40 //lb

+//Distance from point O

+x1=3 //ft

+x2=3 //ft

+//Calculations

+R=F1+F2+F3 //lb

+M_O=-(F1*x1)+(F2*x2) //lb-ft

+//Results

+clc

+printf('The resultant of the force system is:%i lb\n',R) //lb

+printf('The Moment about point O is:%i lb-ft',M_O) //lb-ft

diff --git a/3137/CH3/EX3.7/Ex3_7.sce b/3137/CH3/EX3.7/Ex3_7.sce
new file mode 100755
index 000000000..53db5d371
--- /dev/null
+++ b/3137/CH3/EX3.7/Ex3_7.sce
@@ -0,0 +1,19 @@
+//Initilization of variables

+F1=500 //N

+F2=-400 //N

+F3=-200 //N

+C=1500 //N-m

+//Distance from point O

+x1=2 //m

+x2=4 //m

+x3=6 //m

+//Calculations

+R=F1+F2+F3 //N

+M_O=(F1*x1)+(F2*x2)+(F3*x3)+C //N-m

+//Applying Varignons theorem

+x=M_O/R //m

+//Result

+clc

+printf('The resultant of the force system is:%i N\n',R) //N

+printf('The moment about point O is:%i N-m\n',M_O) //N-m

+printf('The resultant acts at %i meters from point O m',x) //m

diff --git a/3137/CH3/EX3.8/Ex3_8.sce b/3137/CH3/EX3.8/Ex3_8.sce
new file mode 100755
index 000000000..fa93732d5
--- /dev/null
+++ b/3137/CH3/EX3.8/Ex3_8.sce
@@ -0,0 +1,19 @@
+//Initilization of variables

+F1=50 //lb

+F2=100 //lb

+theta1=((45*%pi)/180) //radians

+//Distance from point O

+x1=5 //ft

+x2=4 //ft

+//Calculation

+F_x=F1-(F2*cos(theta1)) //lb

+F_y=F1-(F2*sin(theta1)) //lb

+R=sqrt(F_x^2+F_y^2) //lb

+M_O=F1*x1-(x2*F1) //lb-ft

+//Applying Varignons Theorem

+x=M_O/R //ft

+//Result

+clc

+printf('The resultant of the force system is:%f lb\n',R) //lb

+printf('The Moment about point O is:%f lb-ft\n',M_O) //lb-ft

+printf('The Resultant acts at %f feet from point O ft',x) //ft

diff --git a/3137/CH3/EX3.9/Ex3_9.sce b/3137/CH3/EX3.9/Ex3_9.sce
new file mode 100755
index 000000000..41fb56554
--- /dev/null
+++ b/3137/CH3/EX3.9/Ex3_9.sce
@@ -0,0 +1,40 @@
+//Initilization of variables

+A=80 //N

+B=120 //N

+C=100 //N

+D=50 //N

+thetaA=((90*%pi)/180) //radians

+thetaB=((150*%pi)/180) //radians

+thetaC=((45*%pi)/180) //radians

+thetaD=((340*%pi)/180) //radians

+//Calculations

+Ax=A*cos(thetaA) //N

+Ay=A*sin(thetaA) //N

+Bx=B*cos(thetaB) //N

+By=B*sin(thetaB) //N

+Cx=C*cos(thetaC) //N

+Cy=C*sin(thetaC) //N

+Dx=D*cos(thetaD) //N

+Dy=D*sin(thetaD) //N

+M_Ax=0 //N-m

+M_Ay=0 //N-m

+M_Bx=-Bx*5 //N-m

+M_By=By*8 //N-m

+M_Cx=-Cx*1 //N-m

+M_Cy=Cy*1 //N-m

+M_Dx=-Dx*-1 //N-m

+M_Dy=Dy*8 //N-m

+Fx=Ax+Bx+Cx+Dx //N

+Fy=Ay+By+Cy+Dy //N

+R=sqrt(Fx^2+Fy^2) //N

+M_O=M_Dx+M_Dy+M_Cx+M_Cy+M_Bx+M_By+M_Ax+M_Ay //N-m

+theta=atan(Fy/Fx) //radians

+theta_x=(theta*180)/%pi //degrees

+//Appliying Varignons theorem

+x=M_O/R //m

+//Result

+clc

+printf('The resultant of the force system is:%f N\n',R) //N

+printf('The moment about point O is:%f N\n',M_O) //N

+printf('The resultant acts at and angle of %f degrees with respect to X-Axis degrees\n',theta_x) //degrees

+printf('The resultant of the force system acts at %f meters from point O',x) //m