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diff --git a/278/CH5/EX5.5/ex_5_5.sce b/278/CH5/EX5.5/ex_5_5.sce
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+// find torque applied and tatal twist angle

+clc

+//solution

+//given

+L=3500//mm//total length

+//l1+l2+l3=3500

+do=100//mm

+di=62.5//mm

+d2=100//mm

+d3=87.5//mm

+t=47.5//N/mm^2//shear stress

+C=82.5*10^3//N/mm^2

+//refer fig 5.3

+pi=3.14

+J1=(pi/32)*[do^4-di^4]

+J2=(pi/32)*[d2]^4

+J3=(pi/32)*[d3]^4//mm^4

+//we know q=(T*l)/(C*J)//twist angle

+//q1=q2

+//(T*l1)/(C*J1)=(T*l2)/(C*J2)

+//therefore l1/l2=(J1/J2)=0.847

+//q1=q3

+//therefore (l1/l3)=(J1/J3)=1.447

+//l1+l2+l3=L=3500

+//l1+l1/0.847+l1/1.447=3500

+//l1(1+(1/0.847)+(1/1.447))=3500

+l1=3500/{1+(1/0.847)+(1/1.447)}

+l2=l1/0.847

+l3=l1/1.447

+//T/J=t/r

+T=(pi/16)*t*[(do^4-di^4)/do]//torque//N-mm

+//q=q1+q2+q3//total angle of twist

+q=(T/C)*[{l1/J1}+{l2/J2}+{l3/J3}]

+printf("the torque applied is,%f N-mm\n",T)

+printf("the total angle of twist is,%f radians",q)
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