By Y C Pao
ISBN-10: 084932016X
ISBN-13: 9780849320163
Read or Download Engineering analysis : interactive methods and programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica PDF
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Additional info for Engineering analysis : interactive methods and programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica
Sample text
More features have been added to show the three principal views of the brick and also the rotated view at the northeast corner of screen, as illustrated in Figure 6. The window-viewport transformation of the rotated brick for displaying on the screen is implemented through the functions FNTX and FNTY. The actual ranges of the x and y measurements of the points used for drawing the brick are described by the values of V1 and V2, and V3 and V4, respectively. These ranges are mapped onto the screen matching the ranges of W1 and W2, and W4 and W3, respectively.
2001 by CRC Press LLC QUICKBASIC VERSION Sample Application © 2001 by CRC Press LLC FORTRAN VERSION © 2001 by CRC Press LLC Sample Application GAUSS-JORDAN METHOD One slight modification of the elimination step will make the backward substitution steps completely unnecessary. That is, during the elimination of the xi terms from the linear algebraic equations except the ith one, Equations 25 and 26 should be applied for k equal to 1 through N and excluding k = i. For example, the x3 terms should be eliminated from the first, second, fourth through Nth equations.
And z′P = z P In matrix notation, we may define {P} = [xP yP zP]T and {P'} = [xP' yP' zP']T and write the above equations as {P'} = [Tz]{P} where the transformation matrix for a rotation of z-axis by ⍜z is: cos θz [Tz ] = − sin θz 0 sin θz cos θz 0 0 0 1 (5) In a similar manner, it can be shown that the transformation matrices for rotating about the x- and y-axes by angles ⍜x and ⍜y, respectively, are: 1 [Tx ] = 0 0 0 cos θx − sin θx 0 sin θx cos θx (6) − sin θ y 0 cos θ y (7) and cos θ y Ty = 0 sin θ y [ ] © 2001 by CRC Press LLC 0 1 0 FIGURE 3.
Engineering analysis : interactive methods and programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica by Y C Pao
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