Civil Engineering Reference
In-Depth Information
Three points are shown in Table 3.13:
Table 3.13.
Example 3.5 Gaussian quadrature
x
i
-0.774596669
3-point
0
0.774596669
w
i
0.555555556
0.888888889
0.555555556
s
1
+sx
i
2.01431499
5.5
8.985685011
f(s
1
+sx
i
)
0.304127385
0.740362689
0.953551191
f(s
1
+sx
i
)w
i
0.168959658
0.658100169
0.529750662
1.356810489
S
S*s
6.105647198
Four points are shown in Table 3.14:
Table 3.14.
Example 3.5 Gaussian quadrature
x
i
-0.861136312
4-points
-0.339981044
0.339981044
0.861136312
w
i
0.347854845
0.652145155
0.652145155
0.347854845
s
1
+sx
i
1.624886596
3.970085302
7.029914698
9.375113404
f(s
1
+sx
i
)
0.210823056
0.598799838
0.846950055
0.97197653
f(s
1
+sx
i
)w
i
0.073335822
0.390504413
0.552334375
0.338106745
S
1.354281355
6.094266097
S*s
