initial commit / add all books

1 files changed, 45 insertions, 0 deletions

diff --git a/278/CH5/EX5.16/ex_5_16.sce b/278/CH5/EX5.16/ex_5_16.sce
new file mode 100755
index 000000000..389045e13
--- /dev/null
+++ b/278/CH5/EX5.16/ex_5_16.sce
@@ -0,0 +1,45 @@
+//find dia of bolt using all theories

+clc

+//solution

+//given

+Pt1=10000//N

+Ps=5000//N

+fs=100//N/mm^2

+m=10/3

+pi=3.14

+//let d be diameter of bolt in mm

+//A=(pi/4)*d^2=0.7854*d^2//mm^2

+//f1=Pt1/A=12.73/d^2//kN/mm^2

+//t=Ps/A=6.365/d^2//kN/mm^2

+//fs=[(f1^2)+(0.5*sqrt(f1^2 + 4*t^2))]//acc to max principal stress theory

+//fs=15.365/d^2//kN/mm^2

+d=sqrt(15365/fs)//mm

+//using max shear stres theory

+Tm=fs/2//N/mm^2

+//Tm=0.5*[f1^2+ 4*t^2]

+//Tm=9000/d1^2//N/mm^2

+d1=sqrt(9000*2/fs)//mm

+//using max principal strain theory

+//we know

+//fs=[(f1^2)+(0.5*sqrt(f1^2 + 4*t^2))]//

+//fs=15365/d2^2//N/mm^2//max pricipla stress

+//fs2=[(f1^2)-(0.5*sqrt(f1^2 + 4*t^2))]//min principal stress

+//fs2=-2635/d2^2//N/mm^2

+//fs/E-(fs2/(m*E))=fs/E

+//15365/d2^2+2635/(3.33*d2^2)=100

+d2=sqrt(16156/100)//mm

+//using max strain energy theory

+//fs^2+fs^2-2*fs*fs2/m=fs^2

+//[15365/d3^2]^2+[-2635/d3^2]^2+(2*15365*2635/d3^4/3.33)=100^2

+//[23600/d3^4]+[694/d3^4]+[2430/d3^4]=1

+d3=[26724]^(1/4)//mm

+//using max distortion energy theory

+//(fs^2)+(fs2)^2-(2*fs*fs2)=fs^2

+//[15365/d4^2]^2+[2635/d4^2]^2+(2*15365*2635/d4^4)=100^2

+//32391/d4^4=1

+d4=(32391)^(1/4)//mm

+printf("the dia og bolt using max prin stress theory is,%f mm\n",d)

+printf("the dia of bolt using max shear stress thewory is,%f mm\n",d1)

+printf("the dia of bolt using max prin strain theory is ,%f mm\n",d2)

+printf("the dia of bolt using max strain energy theory is,%f mm\n",d3)

+printf("the dia of boltusing distortion energy is,%f mm\n",d4)
\ No newline at end of file