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clear
//variable declaration
E=(2*100000) //Young's modulus,N/mm^2
alpha=(0.000012) //expansion coeffecient,/°c
L=(12) //length,m
t=(40-18) //temperature difference,°c
delta=alpha*t*L*1000 //free expansion of the rails,mm
// Provide a minimum gap of 3.168 mm between the rails, so that temperature stresses do not develop
// a) If no expansion joint is provided, free expansion prevented is equal to 3.168 mm
//delta=(P*L)/(A*E) & p=P/A where p is stress, P,A is load,area
p1=(delta*E)/(L*1000) //stress developed , N/mm^2
printf("\n (a) p= %0.1f N/mm^2",p1)
//(b) If a gap of 1.5 mm is provided, free expansion prevented delta2 = 3.168 – 1.5 = 1.668 mm.
delta2=1.668 //mm
//delta2=(P*L)/(A*E) & p=P/A where p is stress, P,A is load,area
p2=(delta2*E)/(L*1000) //stress developed , N/mm^2
printf("\n (b) p= %0.1f N/mm^2",p2)
// If the stress developed is 20 N/mm2, then p = P/ A
p3=20 //stress developed,N/mm^2
delta3=delta-(p3*L*1000/E)
printf("\n (iii) delta= %0.3f mm",delta3)
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