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properties of sections part 1
Roark's Formulas for Stress and Strain
Properties of sections - table A.1 (1-14)
A=area (mm2), x/y= distance to extreme fiber (mm), I=moment of inertia (mm4), r=radius of gyration (mm), Z=plastic section modulus (mm3), SF = shape factor
1. SQUARE
square
 
A square (mm2): A
yc square (mm): yc
xc square (mm): xc
y'c square (mm): y'c
Ix square (mm4): Ix
Iy square (mm4): Iy
I'x square (mm4): I'x
rx square (mm): rx
ry square (mm): ry
r'x square (mm): r'x
Zx square (mm3): Zx
Zy square (mm3): Zy
SFx square: SFx
SFy square: SFy
2. RECTANGLE
rectangle
 
A rectangle (mm2): A
yc rectangle (mm): yc
xc rectangle (mm): xc
Ix rectangle (mm4): Ix
Iy rectangle (mm4): Iy
rx rectangle (mm): rx
ry rectangle (mm): ry
Zx rectangle (mm3): Zx
Zy rectangle (mm3): Zy
SFx rectangle: SFx
SFy rectangle: SFy
3. HOLLOW RECTANGLE
hollow_rectangle
 
A hollow rectangle (mm2): A
yc hollow rectangle (mm): yc
xc hollow rectangle (mm): xc
Ix hollow rectangle (mm4): Ix
Iy hollow rectangle (mm4): Iy
rx hollow rectangle (mm): rx
ry hollow rectangle (mm): ry
Zx hollow rectangle (mm3): Zx
Zy hollow rectangle (mm3): Zy
SFx hollow rectangle: SFx
SFy hollow rectangle: SFy
4. TEE SECTION
tee
 
A tee section (mm2): A
yc tee section (mm): yc
xc tee section (mm): xc
Ix tee section (mm4): Ix
Iy tee section (mm4): Iy
rx tee section (mm): rx
ry tee section (mm): ry
Zx tee section (mm3): Zx
Neutral axis x - from the bottom (mm): NAx
Neutral axis x - from the top (mm): NAx
Zy tee section (mm3): Zy
SFx tee section: SFx
SFy tee section: SFy
5. CHANNEL SECTION
channel
 
A channel section (mm2): A
yc channel section (mm): yc
xc channel section (mm): xc
Ix channel section (mm4): Ix
Iy channel section (mm4): Iy
rx channel section (mm): rx
ry channel section (mm): ry
Zx channel section (mm3): Zx
Neutral axis x - from the bottom (mm): NAx
Neutral axis x - from the top (mm): NAx
Zy channel section (mm3): Zy
SFx channel section: SFx
SFy channel section: SFy
6. WIDE-FLANGE BEAM WITH EQUAL FLANGES
wide_flange_beam_with_equal_flanges
 
A wide-flange beam (mm2): A
yc wide-flange beam (mm): yc
xc wide-flange beam (mm): xc
Ix wide-flange beam (mm4): Ix
Iy wide-flange beam (mm4): Iy
rx wide-flange beam (mm): rx
ry wide-flange beam (mm): ry
Zx wide-flange beam (mm3): Zx
Zy wide-flange beam (mm3): Zy
SFx wide-flange beam: SFx
SFy wide-flange beam: SFy
6bis. WIDE-FLANGE BEAM WITH UNEQUAL FLANGES (b2 >= b1)
wide_flange_beam_with_unequal_flanges
 
A wide-flange beam unequal flanges (mm2): A
Ix wide-flange beam unequal flanges (mm4): Ix
Iy wide-flange beam unequal flanges (mm4): Iy
distance bottom - neutral axis x (mm): NAx
distance right - neutral axis y (mm)(b2/2): NAy
7. EQUAL-LEGGED ANGLE
equal_legged_angle
 
A equal-legged angle (mm2): A
yc1 equal-legged angle (mm): yc1
yc2 equal-legged angle (mm): yc2
xc equal-legged angle (mm): xc
Ix equal-legged angle (mm4): Ix
Iy equal-legged angle (mm4): Iy
rx equal-legged angle (mm): rx
ry equal-legged angle (mm): ry
Zx equal-legged angle (if t/a>= 0,40) (mm3): Zx1
Zx equal-legged angle (if t/a<= 0,40) (mm3): Zx2
yp equal-legged angle if t/a >= 0,40 (mm): yp1
yp equal-legged angle if t/a <=0,40 (mm): yp2
8. UNEQUAL-LEGGED ANGLE
unequal_legged_angle
 
A unequal-legged angle (mm2): A
yc unequal-legged angle (mm): yc
xc unequal-legged angle (mm): xc
Ix unequal-legged angle (mm4): Ix
Iy unequal-legged angle (mm4): Iy
Ixy unequal-legged angle (mm4): Ixy
rx unequal-legged angle (mm): rx
ry unequal-legged angle (mm): ry
9. EQUILATERAL TRIANGLE
equilateral_triangle
 
A equilateral triangle (mm2): A
yc equilateral triangle (mm): yc
xc equilateral triangle (mm): xc
y'c equilateral triangle (mm): y'c
Ix equilateral triangle (mm4): Ix
Iy equilateral triangle (mm4): Iy
Ix' equilateral triangle (mm4): Ix'
rx equilateral triangle (mm): rx
ry equilateral triangle (mm): ry
rx' equilateral triangle (mm): rx'
Zx equilateral triangle (mm3): Zx
Zy equilateral triangle (mm3): Zy
SFx equilateral triangle: 2.343
SFy equilateral triangle: 2.000
neutral axis x distance from the base (mm): NA
10. ISOSCELES TRIANGLE
isosceles_triangle
 
A isosceles triangle (mm2): A
yc isosceles triangle (mm): yc
xc isosceles triangle (mm): xc
Ix isosceles triangle (mm4): Ix
Iy isosceles triangle (mm4): Iy
rx isosceles triangle (mm): rx
ry isosceles triangle (mm): ry
Zx isosceles triangle (mm3): Zx
Zy isosceles triangle (mm3): Zy
SFx isosceles triangle: 2.343
SFy isosceles triangle: 2.000
neutral axis x distance from the base (mm): NA
11. TRIANGLE
triangle
 
A triangle (mm2): A
yc triangle (mm): yc
xc triangle (mm): xc
Ix triangle (mm4): Ix
Iy triangle (mm4): Iy
Ixy triangle (mm4): Ixy
Tetax triangle (degrees): Tetax
rx triangle (mm): rx
ry triangle (mm): ry
12. PARALLELOGRAM
parallelogram
 
A parallelogram (mm2): A
yc parallelogram (mm): yc
xc parallelogram (mm): xc
Ix parallelogram (mm4): Ix
Iy parallelogram (mm4): Iy
Ixy parallelogram (mm4): Ixy
Tetax parallelogram (degrees): Tetax
rx parallelogram (mm): rx
ry parallelogram (mm): ry
13. DIAMOND
diamond
 
A diamond (mm2): A
yc diamond (mm): yc
xc diamond (mm): xc
Ix diamond (mm4): Ix
Iy diamond (mm4): Iy
rx diamond (mm): rx
ry diamond (mm): ry
Zx diamond (mm3): Zx
Zy diamond (mm3): ry
SFx diamond : 2.000
SFy diamond : 2.000
14. TRAPEZOID
trapezoid
 
A trapezoid (mm2): A
yc trapezoid (mm): yc
xc trapezoid (mm): xc
Ix trapezoid (mm4): Ix
Iy trapezoid (mm4): Iy
Ixy trapezoid (mm4): Ixy