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-rw-r--r--3772/CH16/EX16.1/Ex16_1.sce71
-rw-r--r--3772/CH16/EX16.2/Ex16_2.sce23
-rw-r--r--3772/CH16/EX16.3/Ex16_3.sce35
-rw-r--r--3772/CH16/EX16.4/Ex16_4.sce36
-rw-r--r--3772/CH16/EX16.5/Ex16_5.sce34
-rw-r--r--3772/CH16/EX16.6/Ex16_6.sce26
-rw-r--r--3772/CH16/EX16.7/Ex16_7.sce40
-rw-r--r--3772/CH16/EX16.8/Ex16_8.sce33
8 files changed, 298 insertions, 0 deletions
diff --git a/3772/CH16/EX16.1/Ex16_1.sce b/3772/CH16/EX16.1/Ex16_1.sce
new file mode 100644
index 000000000..d53e30304
--- /dev/null
+++ b/3772/CH16/EX16.1/Ex16_1.sce
@@ -0,0 +1,71 @@
+// Problem 16.1,Page no.366
+
+clc;clear;
+close;
+
+t=1 //cm //thickness of plates
+sigma_t=150 //MPa //Working stress
+sigma_c=212.5 //MPa //crushing stress
+sigma_s=94.5 //MPa //shearing stress
+
+//Calculation (Part-1)
+
+//P_s=%pi*4**-1*d**2*sigma_s //N //Shearing strength
+//After substituting values and further simplifying we get
+//P_s=%pi*4**-1*d**2*94.5*10**6 //N
+
+//P_c=d*t*sigma_c //N //crushing strength
+//After substituting values and further simplifying we get
+//P_c=d*1*10**-2*212.5*10**6 //N
+
+//P_t=(p-d)*t*sigma_t //N //Strength of plate in tearing
+//After substituting values and further simplifying we get
+//P_t=(p-d)*1*10**-2*150*10**6
+
+//Now comparing strengths
+//P_s=P_c
+//%pi*4**-1*d**2*94.5*10**6=d*1*10**-2*212.5*10**6
+d=1*10**-2*212.5*10**6*(%pi*4**-1*94.5*10**6)**-1 //m //Diameter of rivet
+
+//Now comparing strengths
+//P_t=P_c
+//(p-d)*1*10**-2*150*10**6=d*1*10**-2*212.5*10**6
+//Afte further simplifying equation we get
+//(p-d)=1.4166*d
+p=(1.4166*d+d) //m //%pitch length of rivet
+
+P=p*sigma_t*10**6*t*10**-2 //N //Strength of solid plate //Answer for strength of solid plate is incorrect in textbook
+
+rho=(p-d)*p**-1*100 //Efficiency of the joint //Notification has been changed
+
+//Calculation (Part-2)
+
+//P_s=2*%pi*4**-1*d**2*sigma_s //N //Shearing strength
+//After substituting values and further simplifying we get
+//P_s=2*%pi*4**-1*d**2*94.5*10**6 //N
+
+//P_c=2*d*t*sigma_c //N //crushing strength
+//After substituting values and further simplifying we get
+//P_c=2*d*1*10**-2*212.5*10**6 //N
+
+//P_t=(p-d)*t*sigma_t //N //Strength of plate in tearing
+//After substituting values and further simplifying we get
+//P_t=(p-d)*1*10**-2*150*10**6
+
+//Now comparing strengths
+//P_s=P_c
+//2*%pi*4**-1*d**2*94.5*10**6=2*d*1*10**-2*212.5*10**6
+d=1*10**-2*212.5*10**6*(%pi*4**-1*94.5*10**6)**-1 //m //Diameter of rivet
+
+//Now comparing strengths
+//P_t=P_c
+//(p-d)*1*10**-2*150*10**6=2*d*1*10**-2*212.5*10**6
+//Afte further simplifying equation we get
+//(p-d)=2.833*d
+p_1=(2.833*d+d) //m //%pitch length of rivets in shearing strength of plate //Notification for %pitch length has been changed
+
+rho_2=(p_1-d)*p_1**-1*100 //Efficiency of the joint //Notification has been changed
+
+//Result
+printf("The Efficiency of joint in single rivet is %.2f %%",rho)
+printf("\n The Efficiency of joint in double rivet is %.2f %%",rho_2)
diff --git a/3772/CH16/EX16.2/Ex16_2.sce b/3772/CH16/EX16.2/Ex16_2.sce
new file mode 100644
index 000000000..e307d6a21
--- /dev/null
+++ b/3772/CH16/EX16.2/Ex16_2.sce
@@ -0,0 +1,23 @@
+// Problem 16.2,Page no.367
+
+clc;clear;
+close;
+
+p=7.5 //cm //%pitch of rivets
+t=1.5 //cm //Thickness of plate
+d=2.5 //cm //diameter of rivets
+sigma_t=400 //MPa //Working stress
+sigma_c=640 //MPa //crushing stress
+sigma_s=320 //MPa //shearing stress
+n=2 //No. of rivets
+
+//Calculation
+
+P_t=(p-d)*t*10**-4*sigma_t*10**6*10**-3 //kN //Strength of plate in tearing
+P_s=n*%pi*4**-1*d**2*10**-4*sigma_s*10**6*10**-3 //kN //Shearing strength
+P_c=n*d*t*10**-4*sigma_c*10**6*10**-3 //kN //crushing strength
+
+//Thus Minimum force that will rapture the joint is least of P_t,P_s,P_c i.e P_t
+
+//Result
+printf("Minimum force that will rapture the joint is %.2f",P_t);printf(" kN")
diff --git a/3772/CH16/EX16.3/Ex16_3.sce b/3772/CH16/EX16.3/Ex16_3.sce
new file mode 100644
index 000000000..7597f9873
--- /dev/null
+++ b/3772/CH16/EX16.3/Ex16_3.sce
@@ -0,0 +1,35 @@
+// Problem 16.3,Page no.367
+
+clc;clear;
+close;
+
+d_1=2 //cm //Diameter of rivets
+p_1=6 //cm //%pitch of rivet
+d_2=3 //cm //Diameter of rivet
+p_2=8 //cm //%pitch of rivet
+sigma_t=120 //MPa //Working stress
+sigma_c=160 //MPa //crushing stress
+sigma_s=90 //MPa //shearing stress
+t=1.2 //cm //thickness of plate
+n=2 //No. of rivets
+
+//Calculation (part-1)
+
+P_t=(p_1-d_1)*t*10**-4*sigma_t*10**6 //N //Strength of plate in tearing
+P_s=n*%pi*4**-1*d_1**2*10**-4*sigma_s*10**6 //N //Shearing strength
+P_c=n*d_1*t*10**-4*sigma_c*10**6 //N //crushing strength
+P=p_1*t*10**-4*sigma_t*10**6 //N //Strength of solid per %pitch length
+
+rho_1=P_s*(P)**-1*100 //% //Efficiency of the joint
+
+//Calculation (part-2)
+
+P_t_2=(p_2-d_2)*t*10**-4*sigma_t*10**6 //N //Strength of plate in tearing
+P_s_2=n*%pi*4**-1*d_2**2*10**-4*sigma_s*10**6 //N //Shearing strength
+P_c_2=n*d_2*t*10**-4*sigma_c*10**6 //N //crushing strength
+P_2=p_2*t*10**-4*sigma_t*10**6 //N //Strength of solid per %pitch length
+
+rho_2=P_t_2*(P_2)**-1*100 //% //Efficiency of the joint
+
+//Result
+printf("First joint has higher Efficiency i.e %.2f",rho_1);printf(" %% than second joint")
diff --git a/3772/CH16/EX16.4/Ex16_4.sce b/3772/CH16/EX16.4/Ex16_4.sce
new file mode 100644
index 000000000..ae45eb84a
--- /dev/null
+++ b/3772/CH16/EX16.4/Ex16_4.sce
@@ -0,0 +1,36 @@
+// Problem 16.4,Page no.368
+
+clc;clear;
+close;
+
+t=18 //mm //thickness of plates
+sigma_t=100 //MPa //Tensile stress //Notification has been changed
+sigma_s=70 //MPa //Shearing stress //Notification has been changed
+
+//Calculations
+
+d=6*t**0.5 //mm //Diameter of rivet //Answer is in correct in textbook
+s=%pi*4**-1*d**2*10**-6*sigma_s*10**6 //N //Strength of one rivet in single shear //Answer is in correct in textbook
+
+//Consider strip of joint equal to %pitch p
+
+//S_1=(p-d)*t*10**-3*sigma_t*10**6 //Strength of plate against tearing along 1-1
+//After substituting values and further simplifying we get
+//S_1=1800*p-45900 (Equation 1)
+
+//S_2=(p-d)*t*10**-3*sigma_t*10**6+s //Strength of plate against tearing along 1-1
+//After substituting values and further simplifying we get
+//S_1=1800*p-56050.64 (Equation 2)
+
+//But the value of Equation 2 is smaller than Equation 1
+
+//Strength of rivets in single shear is
+S=4*s
+
+//Equating Equation 2 to shearing value
+//1800*p-56050.64=S
+p=(S+56050.64)*18000**-1 //cm //%pitch of rivet
+
+//Result
+printf("Diameter of rivets is %.2f",d);printf(" mm")
+printf("\n pitch of rivet is %.2f",p);printf(" cm")
diff --git a/3772/CH16/EX16.5/Ex16_5.sce b/3772/CH16/EX16.5/Ex16_5.sce
new file mode 100644
index 000000000..25401bf11
--- /dev/null
+++ b/3772/CH16/EX16.5/Ex16_5.sce
@@ -0,0 +1,34 @@
+// Problem 16.5,Page no.369
+
+clc;clear;
+close;
+
+t=12 //mm //Thickness of plate
+d=24 //mm //Diameter of rivets
+sigma_t=120 //MPa //stress in tension
+sigma_s=200 //MPa //stress in double shear
+sigma_b=200 //MPa //stress in Bearing
+n=1 //No. of rivet
+
+//Calculation
+
+//P_t=(p-d)*t*10**-4*sigma_t*10**6 //N //Strength of plate in tearing
+//After further simplifying we get
+//P_t=(p-24)*14400 //N
+
+P_s=n*%pi*4**-1*d**2*10**-6*sigma_s*10**6 //N //Shearing strength of rivet in double shear
+
+P_b=n*d*10**-3*t*10**-3*sigma_b*10**6 //N //Bearing strength per %pitch length
+
+//Now Equating P_t to P_s or P_b whichever is small
+//(p-24)*14400=P_b
+p=P_b*14400**-1+24*10**-1 //cm //pitch of rivet
+p_min=2.5*d*10**-1 //cm //Minimum pitch
+
+//Now adopting 6.4 cm %pitch
+
+rho=(p-d*10**-1)*p**-1*100
+
+//Result
+printf("pitch of rivet is %.2f",p);printf(" cm")
+printf("\n Efficiency of joint is %.2f %%",rho)
diff --git a/3772/CH16/EX16.6/Ex16_6.sce b/3772/CH16/EX16.6/Ex16_6.sce
new file mode 100644
index 000000000..11d213674
--- /dev/null
+++ b/3772/CH16/EX16.6/Ex16_6.sce
@@ -0,0 +1,26 @@
+// Problem 16.6,Page no.370
+
+clc;clear;
+close;
+
+t=12 //mm //thickness of plate
+d=18 //mm //Diameter of rivet
+p=8 //cm //%pitch of rivet
+sigma_t=460 //MPa //Tensile stress
+sigma_s=320 //MPa //shearing stress
+sigma_b=640 //MPa //bearing stress
+n=2 //No. of rivet
+
+//Calculation
+
+P_t=(p-d*10**-1)*t*10**-1*10**-4*sigma_t*10**6 //N //Strength of plate in tearing
+P_s=n*2*%pi*4**-1*d**2*10**-6*sigma_s*10**6 //N //Shearing strength of rivet pr %pitch length
+P_b=n*d*10**-3*t*10**-3*sigma_b*10**6 //N //Bearing strength per %pitch length
+
+//The joint will fail at a pull of P_b
+
+S=p*t*sigma_t*10**6*10**-5 //N //strength of solid plate
+rho=P_b*S**-1*100 //Efficiency of joint
+
+//Result
+printf("Pull per pitch length at which joint will fail is %.2f",P_b);printf(" N")
diff --git a/3772/CH16/EX16.7/Ex16_7.sce b/3772/CH16/EX16.7/Ex16_7.sce
new file mode 100644
index 000000000..8f5e86937
--- /dev/null
+++ b/3772/CH16/EX16.7/Ex16_7.sce
@@ -0,0 +1,40 @@
+// Problem 16.7,Page no.370
+
+clc;clear;
+close;
+
+W=270 //KN //Load
+t=14 //mm //thickness of plate
+b=20 //cm //width of plate
+d=20 //mm //diameter of rivet
+sigma_s=70 //MPa //shear stress
+sigma_b=190 //MPa //stress in bearing
+sigma_t=110 //MPa //stress in tensile
+
+//Calculation
+
+S_1=1.75*%pi*4**-1*b**2*10**-4*sigma_s*10**6 //strength of one rivet in double shear
+S_2=20*10**-3*t*10**-3*sigma_b*10**6
+
+n=W*10**3*S_1**-1
+
+//Adopt 7 rivets
+
+//The plates may tear along section 1-1
+W_1=(20-4)*10**-2*t*10**-3*sigma_t*10**6 //N //Permissible Load
+
+//The plates may tear along section 2-2,at the same time shearing the 4 rivets along 1-1
+W_2=(20-2*2)*10**-2*t*10**-3*sigma_t*10**6+2*S_1 //N //Permissible Load
+
+//The plates may tear along section 3-3,at the same time shearing the rivets along 1-1 and 2-2
+W_3=(20-3*2)*10**-2*t*10**-3*sigma_t*10**6+4*S_1 //N //Permissible Load
+
+W_s=7*S_1 //N //Load to shear all the rivets
+W_c=7*S_2 //N //Load to crush all the rivets
+
+W_4=b*10**-2*t*10**-3*sigma_t*10**6 //N //Load carried by solid plate
+
+rho=W_1*W_4**-1*100 //% //Efficiency of joint
+
+//Result
+printf("Efficiency of joint is %.2f %%",rho)
diff --git a/3772/CH16/EX16.8/Ex16_8.sce b/3772/CH16/EX16.8/Ex16_8.sce
new file mode 100644
index 000000000..c5138b52e
--- /dev/null
+++ b/3772/CH16/EX16.8/Ex16_8.sce
@@ -0,0 +1,33 @@
+// Problem 16.8,Page no.371
+
+clc;clear;
+close;
+
+D=1.5 //cm //Diameter of boiler
+rho=75 //% //Efficiency of joint
+sigma_t=85 //MPa //stress in tension
+sigma_s=70 //MPa //stress in shear
+P=1 //MPa //Steam Pressure //Notification has been changed
+
+//Calculation
+
+t=P*10**6*D*(2*sigma_t*10**6*rho*10**-2)**-1*100
+
+//Adopt 12 mm thickness of plate
+t_1=12 //mm
+d=6*t_1**0.5
+
+//Adopt 21 mm diameter of rivet
+d_1=21 //mm
+
+//P_t=(p-d_1*10**-1)*t*10**-1*10**-4*sigma_t*10**6 //N //Strength of plate in tearing
+//After substituting values and further simplifying we get
+//P_t=(p-2.1)*10200 //N
+
+P_s=1.875*%pi*4**-1*d_1**2*10**-6*2*sigma_s*10**6
+
+//(p-d_1*10**-1)*10200=P_s
+p=P_s*10200**-1+d_1*10**-1
+
+//Result
+printf("Pitch of plate is %.2f",p);printf(" cm")
generated by cgit (git 2.34.1) at 2024-12-19 12:47:45 +0000