Table 1 Nodes and weight coefficients of Gauss-Legendre quadrature formula.

From: Calculation algorithm of additional stresses in irregularly shaped foundation soils under non-uniform loading

n

\({x_k}\)

\({A_k}\)

0

0.0000000

2.0000000

1

\(\pm\)0.5773503

1.0000000

2

\(\pm\)0.7745967

0.0000000

0.5555556

0.8888889

3

\(\pm\)0.8611363

\(\pm\)0.3399810

0.3478548

0.6521452

4

\(\pm\)0.9061798

\(\pm\)0.5384693

0.0000000

0.2369269

0.4786287

0.5688889

5

\(\pm\)0.9324695

\(\pm\)0.6612094

\(\pm\)0.2386192

0.1713245

0.3607616

0.4679139

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