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Diffstat (limited to '3862/CH4/EX4.12')
-rw-r--r-- | 3862/CH4/EX4.12/Ex4_12.sce | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/3862/CH4/EX4.12/Ex4_12.sce b/3862/CH4/EX4.12/Ex4_12.sce new file mode 100644 index 000000000..571e8eddb --- /dev/null +++ b/3862/CH4/EX4.12/Ex4_12.sce @@ -0,0 +1,38 @@ +clear +//The given composite section can be divided into two rectangles + +// +//variable declaration + + +A1=150.0*10.0 //Area of 1,mm^2 +A2=140.0*10.0 //Area of 2,mm^2 +A=A1+A2 //Total area,mm^2 +//Due to symmetry, centroid lies on the symmetric axis y-y. The distance of the centroid from the top most fibre is given by: + +Y1=5.0 +Y2=10.0+70.0 + +yc=(A1*Y1+A2*Y2)/A + +//Referring to the centroidal axis x-x and y-y, the centroid of A1 is g1 (0.0, yc-5) and that of A2 is g2 (0.0, 80-yc) + +//Moment of inertia of the section about x-x axis Ixx = moment of inertia of A1 about x-x axis + moment of inertia of A2 about x-x axis. + + +Ixx=(150*(10**3)/12)+(A1*((yc-5)**2))+(10*(140**3)/12)+(A2*((80-yc)**2)) + +printf("\n Ixx= %0.1f mm^4",Ixx) + +Iyy=(10*(150**3)/12)+(140*(10**3)/12) + +printf("\n Iyy= %0.1f mm^4",Iyy) + +//Hence, the moment of inertia of the section about an axis passing through the centroid and parallel to the top most fibre is Ixxmm^4 and moment of inertia of the section about the axis of symmetry is Iyy mm^4. +//The radius of gyration is given by + +kxx=sqrt(Ixx/A) +printf("\n kxx= %0.2f mm",kxx) + +kyy=sqrt(Iyy/A) +printf("\n kyy= %0.2f mm",kyy) |