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Diffstat (limited to '3250/CH3/EX3.3')
-rwxr-xr-x | 3250/CH3/EX3.3/Ex3_3.sce | 50 | ||||
-rwxr-xr-x | 3250/CH3/EX3.3/Ex3_3.txt | 3 |
2 files changed, 53 insertions, 0 deletions
diff --git a/3250/CH3/EX3.3/Ex3_3.sce b/3250/CH3/EX3.3/Ex3_3.sce new file mode 100755 index 000000000..fbb8cb052 --- /dev/null +++ b/3250/CH3/EX3.3/Ex3_3.sce @@ -0,0 +1,50 @@ +clc +// Given that +A = 150*6 // Cross-section of strips in mm^2 +w = 150 // Width of the strip in mm +ti = 6 // Thickness in mm +pA = 0.20 // Reduction in area +d = 400 // Diameter of steel rolls in mm +Ys = 0.35// Shear Yield stress of the material before rolling in KN/mm^2 +Ys_ = 0.4// Shear Yield stress of the material after rolling in KN/mm^2 +mu = 0.1 // Cofficient of friction +mu_ = 0.005 // Cofficient of friction in bearing +D = 150 // The diameter of bearing in mm +v = 30 // Speed of rolling in m/min +// Sample Problem 3 on page no. 115 +printf("\n # PROBLEM 3.3 # \n") +tf =0.8*ti +Ys_a = (Ys + Ys_)/2 +r=d/2 +thetaI = sqrt((ti-tf)/r) +lambdaI=2*sqrt(r/tf)*atan(thetaI *sqrt(r/tf)) +lambdaN = (1/2)*((1/mu)*(log(tf/ti)) + lambdaI) +thetaN =(sqrt(tf/r))*(tan((lambdaN/2)*(sqrt(tf/r)))) +Dtheta_a = thetaN/4 +Dtheta_b = (thetaI- thetaN)/8 +i = 0 +for i = 0:4 + theta = i*Dtheta_a + y = (1/2)* (tf+r*theta^2) + lambda = 2*sqrt(r/tf)*atand(theta*(%pi/180) *sqrt(r/tf)) + p_a = 2*Ys_a*(2*y/tf)*(exp(mu*lambda)) +end +I1 = (Dtheta_a/3) *(0.75+.925+4*(.788+.876)+2*.830) +for i = 0:8 + theta1 = i*Dtheta_b + thetaN + y = (1/2)* (tf+r*theta1^2) + lambda = 2*sqrt(r/tf)*atand(theta1*(%pi/180) *sqrt(r/tf)) + p_b = 2*Ys_a*(2*y/ti)*(exp(mu*(lambdaI-lambda))) +end +I2 = (Dtheta_b/3)*(0.925+.75+4*(.887+.828+.786+.759) + 2*(.855+.804+.772)) +F = r*(I1 + I2) +F_ = F*w +T = (r^2)*mu*(I2-I1) +T_ =T*w +W = v*(1000/60)/r +P_ = 2*T_*W +Pl = mu_*F_*D*W +P = Pl+P_ +printf("\n The mill power = %f kW",P/1000) +// Answer in the book is given as 79.18 kW + diff --git a/3250/CH3/EX3.3/Ex3_3.txt b/3250/CH3/EX3.3/Ex3_3.txt new file mode 100755 index 000000000..48ecc32cc --- /dev/null +++ b/3250/CH3/EX3.3/Ex3_3.txt @@ -0,0 +1,3 @@ + # PROBLEM 3.3 #
+
+ The mill power = 80.952339 kW
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