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author | priyanka | 2015-06-24 15:03:17 +0530 |
---|---|---|
committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1898/CH6 | |
download | Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.gz Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.bz2 Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.zip |
initial commit / add all books
Diffstat (limited to '1898/CH6')
-rwxr-xr-x | 1898/CH6/EX6.11/Ex6_11.sce | 25 | ||||
-rwxr-xr-x | 1898/CH6/EX6.13/Ex6_13.sce | 27 | ||||
-rwxr-xr-x | 1898/CH6/EX6.14/Ex6_14.sce | 35 | ||||
-rwxr-xr-x | 1898/CH6/EX6.15/Ex6_15.sce | 32 | ||||
-rwxr-xr-x | 1898/CH6/EX6.16/Ex6_16.sce | 38 | ||||
-rwxr-xr-x | 1898/CH6/EX6.17/Ex6_17.sce | 42 | ||||
-rwxr-xr-x | 1898/CH6/EX6.18/Ex6_18.sce | 46 | ||||
-rwxr-xr-x | 1898/CH6/EX6.19/Ex6_19.sce | 48 | ||||
-rwxr-xr-x | 1898/CH6/EX6.20/Ex6_20.sce | 39 | ||||
-rwxr-xr-x | 1898/CH6/EX6.21/Ex6_21.sce | 43 | ||||
-rwxr-xr-x | 1898/CH6/EX6.22/Ex6_22.sce | 50 | ||||
-rwxr-xr-x | 1898/CH6/EX6.23/Ex6_23.sce | 37 | ||||
-rwxr-xr-x | 1898/CH6/EX6.24/Ex6_24.sce | 41 | ||||
-rwxr-xr-x | 1898/CH6/EX6.25/Ex6_25.sce | 39 | ||||
-rwxr-xr-x | 1898/CH6/EX6.26/Ex6_26.sce | 27 | ||||
-rwxr-xr-x | 1898/CH6/EX6.27/Ex6_27.sce | 33 | ||||
-rwxr-xr-x | 1898/CH6/EX6.28/Ex6_28.sce | 27 | ||||
-rwxr-xr-x | 1898/CH6/EX6.29/Ex6_29.sce | 34 | ||||
-rwxr-xr-x | 1898/CH6/EX6.30/Ex6_30.sce | 23 | ||||
-rwxr-xr-x | 1898/CH6/EX6.5/Ex6_5.sce | 22 |
20 files changed, 708 insertions, 0 deletions
diff --git a/1898/CH6/EX6.11/Ex6_11.sce b/1898/CH6/EX6.11/Ex6_11.sce new file mode 100755 index 000000000..195fd6560 --- /dev/null +++ b/1898/CH6/EX6.11/Ex6_11.sce @@ -0,0 +1,25 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.11 : ")
+
+//Given:
+l = 4.5; //m
+R1 = 1.5; //kN
+R2 = 3; //kN
+uvl = 2; //kN/m
+
+//Shear diagram:
+x = sqrt((2*R1*l)/(uvl));
+M = (R1*x) - (0.5*uvl*x^3)/(3*l);
+
+//Display:
+
+
+ printf('\n\nV becomes zero at x = %1.1fm',x);
+ printf('\nThe magnitude of the maximum moment = %1.1f kNm',M);
+
+//-----------------------------------------------------------------END--------------------------------------------------------------------------
+
+
+
+
diff --git a/1898/CH6/EX6.13/Ex6_13.sce b/1898/CH6/EX6.13/Ex6_13.sce new file mode 100755 index 000000000..421d8ad0d --- /dev/null +++ b/1898/CH6/EX6.13/Ex6_13.sce @@ -0,0 +1,27 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.13 : ")
+
+//Given:
+l_ab = 4; //m
+l_cd = 4; //m
+l_bc = 6; //m
+Rb = 8; //kN
+uvl = 2; //kN/m
+
+//Moment diagram:
+p = [-1/18 0 -3.6 17.6]
+x = roots(p)
+y = x(3);
+
+//Display:
+
+ printf('\n\nV becomes zero at x = %1.2f m',y);
+
+
+//-----------------------------------------------------------------END--------------------------------------------------------------------------
+
+
+
+
+
diff --git a/1898/CH6/EX6.14/Ex6_14.sce b/1898/CH6/EX6.14/Ex6_14.sce new file mode 100755 index 000000000..40a46c0a7 --- /dev/null +++ b/1898/CH6/EX6.14/Ex6_14.sce @@ -0,0 +1,35 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.14 : ")
+
+//Given:
+b = 60; //mm
+h = 120; //mm
+sigma_max = 20; //N/mm^2
+c = b;
+
+//Part (a):
+I = (1/12)*b*h^3;
+M1 = (sigma_max*I)/(c); //sigma_max = Mc/I Flexure Formula
+M1 = M1*10^-6; //in kN/m
+
+//Part (b):
+y0=60;
+y1=-60
+
+M2 = integrate('-(20*y^2)','y',y0,y1);
+M2 = M2*10^-6;
+
+F = (0.5*sigma_max*b*b);
+c = 2*(60 -(0.5*b)); //distance between centroids of both the volumes.
+M = F*c/1000;
+
+//Display:
+
+ printf("\n\nThe internal moment M calculated using : ");
+ printf('\na)The flexure formula = %1.2f kNm',M1);
+ printf('\nb)The resultant of the stress distribution using the basic principles = %1.2f kNm',M2);
+
+
+//-----------------------------------------------------------------END--------------------------------------------------------------------------
+
diff --git a/1898/CH6/EX6.15/Ex6_15.sce b/1898/CH6/EX6.15/Ex6_15.sce new file mode 100755 index 000000000..19cc03020 --- /dev/null +++ b/1898/CH6/EX6.15/Ex6_15.sce @@ -0,0 +1,32 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.15 : ")
+
+//Given:
+udl = 5; //kN/m
+l1 = 3;//m
+l2 = 6; //m
+t = 20/1000; //mm
+yb = 0.15;//m
+
+//Section Property:
+I_bar1 = (1/12)*(0.25)*(0.02^3);
+Ad2 = (0.25)*(0.02)*(yb+(t/2))^2;
+I_bar2 = (1/12)*(0.02)*(0.3^3);
+I = 2*(I_bar1 + Ad2) + I_bar2;
+
+//Bending stress:
+c = 0.15 + t;
+M= 22.5; //kNm
+
+sigma_max = (M*c)/(I*1000);
+
+sigma_B = (M*yb)/(I*1000);
+
+//Display:
+
+ printf('\n\nThe absolute maximum bending stress is = %1.1f MPa',sigma_max);
+
+
+//-----------------------------------------------------------------END--------------------------------------------------------------------------
+
diff --git a/1898/CH6/EX6.16/Ex6_16.sce b/1898/CH6/EX6.16/Ex6_16.sce new file mode 100755 index 000000000..22a9b104b --- /dev/null +++ b/1898/CH6/EX6.16/Ex6_16.sce @@ -0,0 +1,38 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.16 : ")
+
+//Given:
+t1 = 15/1000; //m
+t2 = 20/1000; //m
+l = 250/1000; //m
+b = 200/1000; //m
+P = 2.4; //kN
+l_a = 2; //m
+l_b = 1; //m
+
+//Internal Moment:
+y1 = b/2;
+y2 = t2/2;
+A = (2*t1*b)+(t2*l);
+y_bar = ((2*y1*t1*b)+(y2*t2*l))/A;
+
+M = (P*l_a)+(1*y_bar);
+
+//Section Property:
+I1 = (1/12)*(l*t2^3) + (l*t2*(y_bar - y2)^2);
+I2 = (1/12)*(t1*b^3) + (t1*b*(y1 - y_bar)^2);
+I =I1+ 2*I2;
+
+//Maximum Bending Stress:
+c = b - y_bar;
+sigma_max = (M*c)/(I*1000);
+
+//Display:
+
+ printf('\n\nThe maximum bending stress at section a-a = %1.1f MPa',sigma_max);
+
+
+//-----------------------------------------------------------------END--------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.17/Ex6_17.sce b/1898/CH6/EX6.17/Ex6_17.sce new file mode 100755 index 000000000..0a3f795a6 --- /dev/null +++ b/1898/CH6/EX6.17/Ex6_17.sce @@ -0,0 +1,42 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.17 : ")
+
+//Given:
+b = 60/1000; //m
+h = 30/1000; //m
+M = 40; //Nm
+c1= h/2;
+rib_t = 5/1000; //m
+rib_w = 10/1000;//m
+
+//Without Ribs:
+I1 = (1/12)*(b*h^3);
+sigma_max1 = (M*c1)/(I1*10^6);
+
+//With Ribs:
+y1 = c1;
+y2 = h+(rib_t/2);
+A1 = h*b;
+A2 = rib_t*rib_w;
+y_bar = ((y1*A1)+2*(y2*A2))/(A1 + 2*A2);
+
+c2 = h+rib_t - y_bar;
+I2 = I1 + (b*h*(y_bar - y1)^2);
+I3 = (1/12)*rib_w*rib_t^3 + (rib_w*rib_t*(y2 - y_bar)^2);
+I = I2 + 2*I3;
+
+sigma_max2 = (M*c2)/(I*10^6);
+
+if(sigma_max2>sigma_max1)
+
+ printf("\n\nThe maximum normal stress in the member without ribs = %1.2f MPa',sigma_max1);
+ printf("\nThe maximum normal stress in the member with ribs = %1.2f MPa',sigma_max2);
+ printf("\nThe ribs should be omitted.");
+
+ end
+
+
+//-----------------------------------------------------------------END--------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.18/Ex6_18.sce b/1898/CH6/EX6.18/Ex6_18.sce new file mode 100755 index 000000000..c5938e163 --- /dev/null +++ b/1898/CH6/EX6.18/Ex6_18.sce @@ -0,0 +1,46 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.18 : ")
+
+//Given:
+M = 12; //kNm
+l_bc = 0.2; //m
+l_be = 0.4; //m
+
+//Internal Moment Components:
+My = (-4/5)*M;
+Mz = (3/5)*M;
+
+Iy = (1/12)*(l_be*l_bc^3);
+Iz = (1/12)*(l_bc*l_be^3);
+
+//Bending Stress:
+sigma_B = (-Mz*1000*(l_be/2))/Iz + (My*1000*(-l_bc/2))/Iy;
+sigma_B = sigma_B/10^6;
+sigma_C = (-Mz*1000*(l_be/2))/Iz + (My*1000*(l_bc/2))/Iy;
+sigma_C = sigma_C/10^6;
+sigma_D = (-Mz*1000*(-l_be/2))/Iz + (My*1000*(l_bc/2))/Iy;
+sigma_D = sigma_D/10^6;
+sigma_E = (-Mz*1000*(-l_be/2))/Iz + (My*1000*(-l_bc/2))/Iy;
+sigma_E = sigma_E/10^6;
+
+//Orientation of Nuetral Axis:
+z = (0.45)/(sigma_E + sigma_B);
+
+//theta = -atan(4/3);
+tanA = (Iz/Iy)*(-4/3);
+alpha = atan(tanA);
+alpha = alpha*(180/%pi);
+
+
+//Display:
+
+
+ printf("\n\nThe normal stress at B = %1.2f MPa',sigma_B);
+ printf("\nThe normal stress at C = %1.2f MPa',sigma_C);
+ printf("\nThe normal stress at D = %1.2f MPa',sigma_D);
+ printf("\nThe normal stress at E = %1.2f MPa',sigma_E);
+ printf("\nThe orientation of the nuetral axis = %1.1f degrees',alpha);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
diff --git a/1898/CH6/EX6.19/Ex6_19.sce b/1898/CH6/EX6.19/Ex6_19.sce new file mode 100755 index 000000000..c5d5e7907 --- /dev/null +++ b/1898/CH6/EX6.19/Ex6_19.sce @@ -0,0 +1,48 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.19 : ")
+
+//Given:
+theta = 30*(%pi/180);
+M = 15; //kNm
+My = M*cos(theta);
+Mz = M*sin(theta);
+b = 0.1; //m
+t1 = 0.04;//m
+t2 = 0.03;//m
+
+
+//Section Properties:
+y1 = b/2;
+y2 = b + t2/2;
+A1 = (b*t1);
+A2 = (b*2*t2);
+z_bar = (y1*A1 + y2*A2)/(A1+A2);
+
+Iz = (1/12)*(b*t1^3) + (1/12)*(t2*(2*b)^3);
+Iy = (1/12)*(t1*b^3) + b*t1*(z_bar - y1)^2 + (1/12)*(2*b*t2^3) + 2*b*t2*(y2 - z_bar)^2;
+
+//Maximum Bending Stress:
+l_b = b+t2 - z_bar;
+sigma_B = (-Mz*1000*(-b))/Iz + (My*1000*(l_b))/Iy;
+sigma_B = sigma_B/10^6;
+sigma_C = (-Mz*1000*(t1/2))/Iz + (My*1000*(-z_bar))/Iy;
+sigma_C = sigma_C/10^6;
+
+sigma = max(abs(sigma_B),abs(sigma_C));
+
+//Orientation of the nuetral axis:
+theta1 = 60*(%pi/180);
+alpha = atan((Iz/Iy)*tan(theta1));
+alpha = alpha*(180/%pi);
+
+//Display:
+
+
+ printf("\n\nThe maximum normal stress in the beam = %1.2f MPa',sigma);
+ printf("\n The orientation of the nuetral axis = %1.1f degrees',alpha);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
+
diff --git a/1898/CH6/EX6.20/Ex6_20.sce b/1898/CH6/EX6.20/Ex6_20.sce new file mode 100755 index 000000000..56f0f586e --- /dev/null +++ b/1898/CH6/EX6.20/Ex6_20.sce @@ -0,0 +1,39 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.20 : ")
+
+//Given:
+M =20; //kN
+Iy = 0.96*10^-3; //m^4
+Iz = 7.54*10^-3; //m^4
+theta = 57.1*(%pi/180);
+
+
+//Internal moment Components:
+My = M*sin(theta);
+Mz = M*cos(theta);
+
+//Bending Stress:
+y_p = -0.2; //y Coordinate of P
+z_p = 0.35; //z Coordinate of P
+
+theta1 = (%pi/2)-(theta);
+yp = -z_p*sin(theta1)+ y_p*cos(theta1);
+zp = z_p*cos(theta1) + y_p*sin(theta1);
+
+//Eq 6-17
+
+sigma_p = ((Mz*-yp)/Iz) + ((My*zp)/Iy) ;
+sigma_p = sigma_p/10^3;
+
+//Orientation of the Nuetral Axis:
+alpha = atan((Iz/Iy)*tan(theta));
+alpha = alpha*(180/%pi);
+
+//Display:
+
+
+ printf("\n\nThe maximum normal stress at point P = %1.2f MPa',sigma_p);
+ printf("\nThe orientation of the nuetral axis = %1.1f degrees',alpha);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
diff --git a/1898/CH6/EX6.21/Ex6_21.sce b/1898/CH6/EX6.21/Ex6_21.sce new file mode 100755 index 000000000..3aec6bca9 --- /dev/null +++ b/1898/CH6/EX6.21/Ex6_21.sce @@ -0,0 +1,43 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.21 : ")
+
+//Given:
+M = 2; //kNm
+Ew = 12; //GPa
+Est = 200; //GPa
+bw = 150/1000; //m
+t = 20/1000; //m
+rib = 9/1000;//m
+
+//Section Properties:
+n = (Ew/Est);
+bst = n*bw;
+
+y1 = t/2;
+A1 = t*bw;
+y2 = bw/2 + t;
+A2 = rib*bw;
+
+y_bar = (y1*A1 +y2*A2)/(A1+A2);
+
+I1 = (1/12)*(bw)*(t^3) + A1*(y_bar - y1)^2;
+I2 = (1/12)*(rib)*(bw^3) + A2*(y2-y_bar)^2;
+Ina = I1+I2;
+
+//Normal Stress:
+sigma_B = (M*(bw+t-y_bar))/(Ina*1000);
+sigma_C = (M*(y_bar))/(Ina*1000);
+
+//Normal Stress in the wood:
+sigmaB = n*sigma_B;
+
+//Display:
+
+
+ printf("\n\nThe normal stress at point B = %1.1f MPa',sigma_B);
+ printf("\nThe normal stress at point C = %1.2f MPa',sigma_C);
+ printf("\nThe normal stress at point B in the wood = %1.2f MPa',sigmaB);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
diff --git a/1898/CH6/EX6.22/Ex6_22.sce b/1898/CH6/EX6.22/Ex6_22.sce new file mode 100755 index 000000000..51deaa8c9 --- /dev/null +++ b/1898/CH6/EX6.22/Ex6_22.sce @@ -0,0 +1,50 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.22 : ")
+
+//Given:
+sigma_allow_st = 168; //MPa
+sigma_allow_w = 21; //MPa
+Est = 200; //GPa
+Ew = 12; //GPa
+Iz = 7.93*10^6; //mm^4
+A1 = 5493.75; //mm^2
+t = 5; //mm
+h = 100; //mm
+
+//Without Board:
+c = h+t;
+M1 = (sigma_allow_st*Iz)/(c*10^6);
+
+//With Board:
+bw = 300;//mm
+n = (Ew/Est);
+bst = n*bw;
+
+//For the transformed section:
+y1 = 0;
+y2 = 55;
+A2 = bst*h;
+
+y_bar = (y1*A1 + y2*A2)/(A1+A2);
+
+I1 = Iz + A1*y_bar^2;
+I2 = (1/12)*(bst*h^3) + (A2*(y2-y_bar)^2);
+I = I1+I2;
+
+c = c+y_bar;
+M2 = (sigma_allow_st*I)/(c*10^6);
+
+cw = c - y_bar;
+Mw = (sigma_allow_w*I)/(n*cw*10^6);
+
+M = min(Mw,M2);
+
+//Display:
+
+ printf("\n\nThe maximum bending moment without re-inforcement = %1.3f kNm',M1);
+ printf("\nThe maximum bending moment with re-inforcement = %1.2f kNm',M);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.23/Ex6_23.sce b/1898/CH6/EX6.23/Ex6_23.sce new file mode 100755 index 000000000..0045d814c --- /dev/null +++ b/1898/CH6/EX6.23/Ex6_23.sce @@ -0,0 +1,37 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.23 : ")
+
+//Given:
+M = 60; //kNm
+Est = 200; //GPa
+Econc = 25; //GPa
+d = 25;//mm
+r = d/2;
+w = 300;//mm
+ht =400; //mm
+
+//Section Properties:
+n = Est/Econc;
+Ast = 2*%pi*r^2;
+A = n*Ast;
+
+p = [1 52.37 -20949.33]
+h = roots(p)
+h = h(2);
+
+I = (1/12)*(w*h^3) +w*h*(h/2)^2 + A*(ht - h)^2;
+
+//Normal Stress:
+sigma_conc_max = (M*1000*h*1000)/(I);
+sigma_conc = (M*1000*(ht-h)*1000)/(I);
+sigma_st = n*sigma_conc;
+
+//Display:
+
+
+ printf("\n\nThe normal stress in each steel reinforcing rod = %1.2f MPa',sigma_st);
+ printf("\nThe maximum normal stress in the concrete = %1.2f MPa',sigma_conc_max);
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.24/Ex6_24.sce b/1898/CH6/EX6.24/Ex6_24.sce new file mode 100755 index 000000000..52ba2562c --- /dev/null +++ b/1898/CH6/EX6.24/Ex6_24.sce @@ -0,0 +1,41 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.24 : ")
+
+//Given:
+sigma = 140; //Mpa
+ri = 90; //mm
+ro = 110; //mm
+a = 20; //mm
+
+//Section Properties:
+
+y = integrate('a*(1/r)','r',ri,ro)
+R = (a*a)/y;
+
+r_avg = (ri+ro)/2;
+M1 = (-sigma*a*a*ro*(r_avg - R))/(R-ro);
+M1 = M1*10^-6;
+
+M2 = (sigma*a*a*ri*(r_avg - R))/(R-ri);
+M2 = M2*10^-6;
+
+M = min(M1,M2);
+
+sigma1 = (M*(R - ro))/(a*a*ro*(r_avg - R));
+
+//For a straight Bar:
+I = (1/12)*(a*a^3);
+c = 10; //mm
+M_strt= (sigma*I)/c;
+M_strt = M_strt*10^-6;
+
+//Display:
+
+ printf("\n\nThe maximum bending moment that can be applied to the bar = %1.3f kNm',M);
+ printf("\nThe maximum bending moment that can be applied to a straight bar = %1.3f kNm',M_strt);
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
+
+
diff --git a/1898/CH6/EX6.25/Ex6_25.sce b/1898/CH6/EX6.25/Ex6_25.sce new file mode 100755 index 000000000..89531fecd --- /dev/null +++ b/1898/CH6/EX6.25/Ex6_25.sce @@ -0,0 +1,39 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.25 : ")
+
+//Given:
+ri = 200/1000; //m
+r1 = 250/1000; //m
+ro = 280/1000; //m
+M = 4; //kNm
+a = 0.05; //m
+h = 0.03; //m
+
+//Section Properties:
+A1 = a^2 ;
+A2 = (0.5*a*h);
+A = A1+A2;
+r_avg1 = (r1+ri)/2;
+r_avg2 = r1+(h/3);
+r_bar =((r_avg1*A1)+(r_avg2*A2))/A;
+
+int_dA_r1 = a*log(r1/ri);
+int_dA_r2 = (a*ro*log(ro/r1))/(ro-r1) - a;
+R = (A)/(int_dA_r1+ int_dA_r2);
+k= r_bar - R;
+
+//Normal Stress:
+sigma_B = (-M*(R-ri))/(A*ri*k*1000);
+sigma_A = (-M*(R-ro))/(A*ro*k*1000);
+
+sigma = max(abs(sigma_B),abs(sigma_A))
+
+
+//Display:
+
+ printf("\n\nThe maximum normal stress in the bar = %1.0f MPa',sigma);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.26/Ex6_26.sce b/1898/CH6/EX6.26/Ex6_26.sce new file mode 100755 index 000000000..b7b754a12 --- /dev/null +++ b/1898/CH6/EX6.26/Ex6_26.sce @@ -0,0 +1,27 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.26 : ")
+
+//Given:
+M = 5; //kNm
+sigma_y = 500; //MPa
+r = 16; //mm
+h = 80; //mm
+w = 120; //mm
+r_h = r/h;
+w_h = w/h;
+k = 1.45;
+c = h/(2000);
+t = 20/1000; //m
+
+//Calculations:
+I = (1/12)*(t)*(h/1000)^3
+sigma_max = (k*M*c)/(I*1000);
+
+//Display:
+
+ printf("\n\nThe maximum normal stress in the steel = %1.0f MPa',sigma_max);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.27/Ex6_27.sce b/1898/CH6/EX6.27/Ex6_27.sce new file mode 100755 index 000000000..b73c9c1b0 --- /dev/null +++ b/1898/CH6/EX6.27/Ex6_27.sce @@ -0,0 +1,33 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.27 : ")
+
+//Given:
+sigma_y = 250; //MPa
+t = 12.5; //mm
+w = 200; //mm
+h = 225; //mm
+
+//Maximum Elastic Moment:
+yy = (h+t)/2;
+I1 = (1/12)*(w*t^3) + (w*t*yy^2);
+I = (1/12)*(t*h^3) + 2*(I1);
+c = 125; //mm
+
+My = (sigma_y*I)/(c); //Flexure Formula
+
+//Plastic Moment:
+C1= sigma_y*t*(h/2);
+C2= sigma_y*t*(w);
+Mp = (2*56.25*C1) + (2*yy*C2);
+
+//Shape Factor:
+k = Mp/My;
+
+//Display:
+
+
+ printf("\n\nThe shape factor for the beam = %1.2f ',k);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
diff --git a/1898/CH6/EX6.28/Ex6_28.sce b/1898/CH6/EX6.28/Ex6_28.sce new file mode 100755 index 000000000..46c556012 --- /dev/null +++ b/1898/CH6/EX6.28/Ex6_28.sce @@ -0,0 +1,27 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.28 : ")
+
+//Given:
+sigma_y = 250; //MPa
+t = 15/1000; //m
+w = 100/1000; //m
+h = 120/1000; //m
+c = 10/1000; //m
+
+//Calculations:
+d = ((sigma_y*t*w)+(sigma_y*t*h))/(sigma_y*t*2);
+
+T = sigma_y*t*d*10^3;
+C1 = sigma_y*t*c*10^3;
+C2 = sigma_y*t*w*10^3;
+
+Mp = (T*d/2)+(C1*c/2)+(C2*(c+t/2));
+
+//Display:
+
+
+ printf("\n\nThe plastic moment that can be resisted by the beam = %1.1f kNm',Mp);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
diff --git a/1898/CH6/EX6.29/Ex6_29.sce b/1898/CH6/EX6.29/Ex6_29.sce new file mode 100755 index 000000000..a40ed93f7 --- /dev/null +++ b/1898/CH6/EX6.29/Ex6_29.sce @@ -0,0 +1,34 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.29 : ")
+
+//Given:
+ep1 = 0.01;
+ep2 = 0.05;
+sig1 = 1050;//N/mm^2
+sig2 = 1330;//N/mm^2
+sig3 = 280; //N/mm^2
+y = 0.3; //cm
+h = 3; //cm
+w = 2; //cm
+
+//Calculations:
+yy = (h/2)-y
+T1 = (1/2)*(sig3*yy*w);
+y1 = y +(2/3)*(yy);
+T2 = yy*sig1*w;
+y2 = y+(0.5*yy);
+T3 = (0.5*y*sig1*w);
+y3 = (2/3)*(y);
+
+M = 2*(T1*y1 + T2*y2 + T3*y3);
+M = M/1000;
+
+//Display:
+
+
+ printf("\n\nThe bending moment applied that will cause a strain of 0.05mm/mm = %1.2f kNm',M);
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
+
+
diff --git a/1898/CH6/EX6.30/Ex6_30.sce b/1898/CH6/EX6.30/Ex6_30.sce new file mode 100755 index 000000000..6e72712b4 --- /dev/null +++ b/1898/CH6/EX6.30/Ex6_30.sce @@ -0,0 +1,23 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.30 : ")
+
+//Given:
+sigma_y = 250; //MPa
+t = 12.5; //mm
+w = 200; //mm
+h = 225; //mm
+c = (h/2)+t;
+I = 82.44*10^6;//mm^4
+Mp = 188; //kN
+
+//Calculations:
+sigma_allow = (Mp*10^6*c)/(I);
+y = (sigma_y*c)/(sigma_allow);
+
+//Display:
+
+ printf("\n\nThe point of zero normal stress = %1.2f mm',y);
+ printf("\nThe Residual Stress distribution is shown in the text book.");
+
+ //------------------------------------------------------------------------END---------------------------------------------------------------------------------------
diff --git a/1898/CH6/EX6.5/Ex6_5.sce b/1898/CH6/EX6.5/Ex6_5.sce new file mode 100755 index 000000000..183e0d83d --- /dev/null +++ b/1898/CH6/EX6.5/Ex6_5.sce @@ -0,0 +1,22 @@ +clear all; clc;
+
+disp("Scilab Code Ex 6.5 : ")
+
+//Shear and Moment Diagrams:
+p = [-1/9 -2 30]
+x = roots(p)
+y = (x(2));
+
+
+ M = (30*y) - (y^2) - (y^3)/27;
+
+
+
+//Display:
+
+printf("\n\nThe magnitude of the maximum moment is = %1.0f kNm', M);
+printf('\nRefer to the shear and moment diagrams in the book.');
+
+
+//---------------------------------------------------------------------------END-----------------------------------------------------------------------------
+
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