Advanced Methods of Structural Analysis

Appendix............................................................................

Ta b l e A. 1 Typical graphs, their area and centroid position

No Shape of the graph Area

Position of the centroid

z 1 z 2

1

l

h

z 1 z 2

hl l

2

l

2

2

l

h

z 1 z 2

hl

2

l

3

2l

3

3

l

h

Quadratic parabola

z 1 z 2

hl

3

l

4

3l

4

4

l

h

Cubic parabola

z 1 z 2

hl

4

l

5

4l

5

5

Parabola of the

n-th degree

l

h

z 1 z 2

hl

nC 1

l

nC 2

.nC 1 /l

nC 2

6

l

h

Quadratic

parabola

z 1 z 2

2hl

3

3l

8

5l

8

551