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Diffstat (limited to '764/CH7/EX7.19.b')
-rwxr-xr-x | 764/CH7/EX7.19.b/graph7_19.png | bin | 0 -> 14660 bytes | |||
-rwxr-xr-x | 764/CH7/EX7.19.b/result7_19.txt | 91 | ||||
-rwxr-xr-x | 764/CH7/EX7.19.b/solution7_19.sce | 59 |
3 files changed, 150 insertions, 0 deletions
diff --git a/764/CH7/EX7.19.b/graph7_19.png b/764/CH7/EX7.19.b/graph7_19.png Binary files differnew file mode 100755 index 000000000..e7b7f8c0b --- /dev/null +++ b/764/CH7/EX7.19.b/graph7_19.png diff --git a/764/CH7/EX7.19.b/result7_19.txt b/764/CH7/EX7.19.b/result7_19.txt new file mode 100755 index 000000000..d9a304656 --- /dev/null +++ b/764/CH7/EX7.19.b/result7_19.txt @@ -0,0 +1,91 @@ +-->//(Threaded Joints) Example 7.19
+
+-->//Maximum external force Pmax (kN)
+
+-->Pmax = 10
+ Pmax =
+
+ 10.
+
+-->//Minimum external force Pmin (kN)
+
+-->Pmin = 0
+ Pmin =
+
+ 0.
+
+-->//Assume the stiffness of the bolts to be 1N/mm kb
+
+-->kb = 1
+ kb =
+
+ 1.
+
+-->//Calculate the stiffness of the parts kc
+
+-->kc = 3 * kb
+ kc =
+
+ 3.
+
+-->//Overload percentage load (%)
+
+-->load = 50
+ load =
+
+ 50.
+
+-->//Yield tensile strength of 50C4 Syt (N/mm2)
+
+-->Syt = 460
+ Syt =
+
+ 460.
+
+-->//Ultimate tensile strength of 50C4 Sut (N/mm2)
+
+-->Sut = 660
+ Sut =
+
+ 660.
+
+-->//Fatigue stress concentration factor Kf
+
+-->Kf = 2.2
+ Kf =
+
+ 2.2
+
+-->//Expected reliability (%)
+
+-->reliability = 90
+ reliability =
+
+ 90.
+
+-->//Factor of safety fs
+
+-->fs = 2
+ fs =
+
+ 2.
+
+-->//Assume diameter of the bolt to be less than 7.5mm for Kb to be 1
+
+-->d = 1
+ d =
+
+ 1.
+
+-->//As Ka is incorporated into Kf, assume the assembly to be ground
+
+-->//This is just to obtain a random value of Ka
+
+-->op = 1
+ op =
+
+ 1.
+
+
+Core cross-section area of the bolt(A) = 39.413787 mm2
+
\ No newline at end of file diff --git a/764/CH7/EX7.19.b/solution7_19.sce b/764/CH7/EX7.19.b/solution7_19.sce new file mode 100755 index 000000000..bd4260cf2 --- /dev/null +++ b/764/CH7/EX7.19.b/solution7_19.sce @@ -0,0 +1,59 @@ +
+
+function[] = plot_format()
+ //Get the handle of current axes
+ g = gca()
+ //Give labels and set label properties
+ g.labels_font_color=5
+ g.font_size=3
+ g.grid=[1,1]
+ g.box="off"
+endfunction
+
+//Obtain path of solution file
+path = get_absolute_file_path('solution7_19.sce')
+//Obtain path of data file
+datapath = path + filesep() + 'data7_19.sci'
+//Obtain path of function file
+funcpath = path + filesep() + 'functions7_19.sci'
+//Clear all
+clc
+//Execute the data file
+exec(datapath)
+exec(funcpath,[-1])
+//Calculate the endurance limit stress for bolt Sdash (N/mm2)
+Sdash = (50/100)*Sut
+//Calculate Ka, Kb and Kc
+[Ka, Kb, Kc] = fluctuate(op, d, reliability)
+//Calculate Kd
+Kd = 1/Kf
+//Calculate the corrected endurance limit stress Se (N/mm2)
+Se = Kb * Kc * Kd * Sdash
+//Plot modified Goodman diagram
+//The common quadrilateral in the plot is the area of concern
+y1 = {Se 0}
+x1 = {0 Sut}
+y2 = {Syt 0}
+x2 = {0 Syt}
+plot(x1,y1,'--*')
+plot(x2,y2,'-*')
+plot_format()
+title('Modified Goodman diagram (Example 7.19)')
+xlabel('sigmaM (N/mm2)')
+ylabel('sigmaA (N/mm2)')
+//Calculate the external force at overload condition PbMax (N)
+PbMax = (Pmax * 1000) + ((load/100)*Pmax * 1000)
+//Calculate the initial pre-load Pi (N)
+Pi = PbMax/((kb + kc)/kc)
+//Calculate the maximum force in the bolt PMAX (N)
+PMAX = Pi + ((kb/(kb + kc))*(Pmax * 1000))
+//Calculate the minimum force in the bolt PMIN (N)
+PMIN = Pi + ((kb/(kb + kc))*(Pmin * 1000))
+//Calculate the mean force and force amplitude
+Pm = (PMAX + PMIN)/2
+Pa = (PMAX - PMIN)/2
+//Calculate the actual core cross-section area of the bolt A (mm2)
+A = (Pa + (Pi/((1 + (Sut/Se)) * fs)))/(Sut/((1 + (Sut/Se))*fs))
+//Choose proper diameter from Table 7.1
+//Print results
+printf('\nCore cross-section area of the bolt(A) = %f mm2\n',A)
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