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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /764/CH4/EX4.12.b | |
| download | Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.gz Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.bz2 Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.zip | |
initial commit / add all books
Diffstat (limited to '764/CH4/EX4.12.b')
| -rwxr-xr-x | 764/CH4/EX4.12.b/result4_12.txt | 58 | ||||
| -rwxr-xr-x | 764/CH4/EX4.12.b/solution4_12.sce | 51 |
2 files changed, 109 insertions, 0 deletions
diff --git a/764/CH4/EX4.12.b/result4_12.txt b/764/CH4/EX4.12.b/result4_12.txt new file mode 100755 index 000000000..2c972d98c --- /dev/null +++ b/764/CH4/EX4.12.b/result4_12.txt @@ -0,0 +1,58 @@ +-->//(Design against Static Load) Example 4.12
+
+-->//Refer Fig.4.39
+
+-->//Force acting on the bracket P (kN)
+
+-->P = 5
+ P =
+
+ 5.
+
+-->//Ultimate tensile strength of FG200 material Sut (N/mm2)
+
+-->Sut = 200
+ Sut =
+
+ 200.
+
+-->//Factor of safety fs
+
+-->fs = 3.5
+ fs =
+
+ 3.5
+
+-->//Angle made by the line of force with the vertical theta (radian)
+
+-->theta = (60 * (%pi/180))
+ theta =
+
+ 1.0471976
+
+-->//Distance between the point load and the horizontal axis h (mm)
+
+-->h = 150
+ h =
+
+ 150.
+
+-->//Distance between the point load and the rigid support r (mm)
+
+-->r = 300
+ r =
+
+ 300.
+
+-->//Ratio of depth to width of the cross-section ratio
+
+-->ratio = 2
+ ratio =
+
+ 2.
+
+
+Value of t = 35.000000 mm
+
+Area of cross-section = (35.000000 x 70.000000) mm2
+
\ No newline at end of file diff --git a/764/CH4/EX4.12.b/solution4_12.sce b/764/CH4/EX4.12.b/solution4_12.sce new file mode 100755 index 000000000..b26cdec54 --- /dev/null +++ b/764/CH4/EX4.12.b/solution4_12.sce @@ -0,0 +1,51 @@ +
+//Function to round-up a value such that it is divisible by 5
+function[v] = round_five(w)
+ v = ceil(w)
+ rem = pmodulo(v,5)
+ if (rem ~= 0)
+ v = v + (5 - rem)
+ end
+endfunction
+
+//Obtain path of solution file
+path = get_absolute_file_path('solution4_12.sce')
+//Obtain path of data file
+datapath = path + filesep() + 'data4_12.sci'
+//Clear all
+clc
+//Execute the data file
+exec(datapath)
+//Calculate the permissible tensile stress sigmat (N/mm2)
+sigmat = Sut/fs
+//Calculate the horizontal component of the force Ph (N)
+Ph = (P * 1000) * sin(theta)
+//Calculate the vertical component of the force Pv (N)
+Pv = (P * 1000) * cos(theta)
+//Calculate the maximum bending moment Mb (N-mm)
+Mb = (Ph * h) + (Pv * r)
+//Assume the value of t to be 1mm
+t = 1
+//Calculate the value of y (mm)
+y = t
+//Calculate the second moment of area I (mm4)
+I = (t * ((ratio * t)^3))/12
+//Calculate the bending stress sigmab (N/mm2)
+sigmab = (Mb * y)/I
+//Calculate the direct tensile stress D (N/mm2)
+D = Ph/(ratio * (t^2))
+//Coefficients of the resulting cubic equation
+p = [sigmat 0 (-1 * D) (-1 * sigmab)]
+//Calculate the roots to obtain the the true value of t
+r = roots(p)
+real_part = real(r)
+for i = 1:1:3
+ if(real_part(i)>0)
+ t = real_part(i)
+ break
+ end
+end
+t = round_five(t)
+//Print results
+printf('\nValue of t = %f mm\n',t)
+printf('\nArea of cross-section = (%f x %f) mm2\n',t,(ratio * t))
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