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SkyCiv Section Builder

  1. Huis
  2. SkyCiv Section Builder
  3. Analyse
  4. Berekeningsverificatie

Berekeningsverificatie

Voorbeeld 1

Bepaal de spanningen van een T-profiel onderworpen aan gecombineerde krachten.

Afmetingen sectie Geometrische eigenschappen Krachten
sectie bouwer analyse verificatie T-sectie
  • Area = 3579 mm2

Traagheidsmoment

  • ikmet = 1.05786·107 mm4
  • iken = 6.32306·106 mm4

Distans to Max and Min

  • enmax = 39.3877 mm
  • enmin = -150.6123 mm
  • metmax = 90 mm
  • metmin = -90 mm

Afschuifeigenschappen

  • Qmet = 7.93943·104 mm3
  • Qen = 5.25658·104 mm3

Torsie

  • J = 1.46870·105 mm4
  • rmax = 13.5357 mm
  • Axiaal = 10.0 kN
  • Afschuiving Y = 1.0 kN
  • Afschuiving Z = 1.0 kN
  • Torsie = 0.1 kN·m
  • Buigen Y = 1 .0 kN·m
  • Bending Z = 1 .0 kN·m

 

Vergelijking van resultaten

Resultaat Plaats SkyCiv SB Analysis Handleiding Derde partij
Primaire spanningen (MPa)
Axiaal max 2.794 \(\frac{Oppervlakte}{Axiaal}= frac{10·1000}{3579} = 2.794\)

(0.00%)

2.794

(0.00%)

min 2.794 \(\frac{Oppervlakte}{Axiaal}= frac{10·1000}{3579} = 2.794\)

(0.00%)

2.794

(0.00%)

Y . buigen max 14.234 \(\frac{Y . buigen}{I_y/y_{max}}= frac{1·1000000}{6.32306·10^6/90} =14.234\)

(0.00%)

14.234

(0.00%)

min -14.234 \(\frac{Y . buigen}{I_y/y_{min}}= frac{1·1000000}{6.32306·10^6/-90} =-14.234\)

(0.00%)

-14.234

(0.00%)

Z buigen max 3.723 \(\frac{Z buigen}{I_z/z_{max}}= frac{1·1000000}{1.05786·10^7/39.3877} =3.723\)

(0.00%)

3.723

(0.00%)

min -14.237 \(\frac{Z buigen}{I_z/z_{min}}= frac{1·1000000}{1.05786·10^7/-150.6123} =-14.237\)

(0.00%)

-14.237

(0.00%)

Resulterende afschuiving Y max 1.123 \(\frac{Shear Y·Q_z}{I_z·t}= frac{1·1000·7.93943·10^4}{1.05786·10^7·7} = 1.072\)

(4.54%)

1.120

(0.26%)

Resulterende afschuiving Z max 0.698 \(\frac{Shear Z·Q_y}{I_y·t}= frac{1·1000·5.25658·10^4}{6.32306·10^6·13} = 0.639\)

(8.45%)

0.709

(1.57%)

Torsie max 9.956 \(\frac{Torsion·r_{max}}{J}= frac{0.1·1000000·13.5357}{1.46870·10^5} = 9.216\)

(7.43%)

9.570

(3.87%)

Voorbeeld 2

Determine the stresses of a section subjected to combined forces.

Afmetingen sectie Geometrische eigenschappen Krachten
section builder analysis verification aluminium section
  • Area = 533.9368 mm2

Traagheidsmoment

  • ikmet = 3.84955·105 mm4
  • iken = 9.59303·104 mm4
  • een = -0.1562°
  • ikzp = 3.84957·105 mm4
  • ikyp = 9.59281·104 mm4

Distans to Max and Min

  • Pointmax = (-15.7027, 37.2424) mm
  • Pointmin =(14.1016, -42.0526) mm
  • Bending Y Pointmax = (16.0015, -40.1425) mm
  • Bending Y Pointmin = (-15.9392, 30.7351) mm

Afschuifeigenschappen

Schuintrekken Y

  • Qmet = 6533.7159 mm3
  • Qen = 4.2994 mm3
  • t=3.9624 mm

Schuintrekken Z

  • Qmet = 929.3201 mm3
  • Qen = 3337.6401 mm3
  • t= 2.8145 mm

Torsie

  • J = 1513.8 mm4
  • rmax = 4.6293 mm
  • Axiaal = 10.0 kN
  • Afschuiving Y = 1.0 kN
  • Afschuiving Z = 1.0 kN
  • Torsie = 0.01 kN·m
  • Buigen Y = 1 .0 kN·m
  • Bending Z = 1 .0 kN·m

Vergelijking van resultaten

Resultaat Plaats SkyCiv SB Analysis Handleiding Derde partij
Primaire spanningen (MPa)
Axiaal max 18.729 \(\frac{Oppervlakte}{Axiaal}= frac{10·1000}{533.9368} = 18.729\)

(0.00%)

18.73

(0.00%)

min 18.729 \(\frac{Oppervlakte}{Axiaal}= frac{10·1000}{533.9368} = 18.729\)

(0.00%)

18.793

(0.00%)

Y . buigen max 166.538 \(\frac{M_y·\cos(\alfa)}{\frac{I_y}{z_{max}}}+\frac{M_y·\sin(\alfa)}{\frac{I_z}{y_{max}}}= frac{1000000·\cos(-0.1562^ circ)}{\frac{3.84955·10^5}{-42.0526}}+\frac{1000000·\sin(-0.1562^ circ)}{\frac{9.59281·10^4}{14.1016}}=166.694\)

(0.00%)

166.5

(0.00%)

min -165.951 \(\frac{M_y·\cos(\alfa)}{\frac{I_y}{z_{min}}}+\frac{M_y·\sin(\alfa)}{\frac{I_z}{y_{min}}}= frac{1000000·\cos(-0.1562^ circ)}{\frac{3.84955·10^5}{30.7351}}+\frac{1000000·\sin(-0.1562^ circ)}{\frac{9.59281·10^4}{-15.9392}}=166.045\)

(0.00%)

-166.0

(0.00%)

Z buigen max 97.189 \(\frac{M_z·\cos(\alfa)}{\frac{I_z}{y_{max}}}+\frac{M_z·\sin(\alfa)}{\frac{I_y}{z_{max}}}= frac{1000000·\cos(-0.1562^ circ)}{\frac{3.84955·10^5}{37.2424}}+\frac{1000000·\sin(-0.1562^ circ)}{\frac{9.59281·10^4}{-15.7027}}=97.19\)

(0.00%)

97.19

(0.00%)

min -109.639 \(\frac{M_z·\cos(\alfa)}{\frac{I_z}{y_{min}}}+\frac{M_z·\sin(\alfa)}{\frac{I_y}{z_{min}}}= frac{1000000·\cos(-0.1562^ circ)}{\frac{3.84955·10^5}{-42.0526}}+\frac{1000000·\sin(-0.1562^ circ)}{\frac{9.59281·10^4}{14.1016}}=-109.64\)

(0.00%)

-109.6

(0.00%)

Resulterende afschuiving Y max 4.302 \(\frac{ShearY·\cos(\alfa)·Qz}{Izp·t}+\frac{ShearZ·\cos(\alfa)·Qy}{Iyp·t}= frac{1000·\cos(-0.1562^ circ)·6533.7159}{{3.84955·10^5·3.9624}}+\frac{1000·\sin(-0.1562^ circ)·4.2994}{9.59281·10^4·3.9624}=4.283\)

(0.44%)

4.297

(0.12%)

Resulterende afschuiving Z max 16.629 \(\frac{ShearZ·\sin(\alfa)·Qz}{Izp·t}+\frac{ShearZ·\cos(\alfa)·Qy}{Iyp·t}= frac{1000·\sin(-0.1562^ circ)·929.3201}{{3.84955·10^5·2.8145}}+\frac{1000·\cos(-0.1562^ circ)·3337.6406}{9.59281·10^4·2.8145}=12.36\)

(25.67%)

17.37

(4.46%)

Torsie max 30.418 \(\frac{Torsion·r_{max}}{J}= frac{0.1·1000000·4.6293}{1513.65} = 30.584\)

(0.55%)

31.98

(5.14%)

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