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Member Calculator - SANS 10162-1:2011

Member Select : ({{flangeclass}}) Grade :

KL-X (m): KL-Y (m):

Axial Tens (kN): Compr. (kN):

MuX (kNm): MuY (kNm):

ω 2 (1-2.5): Vu (kN):

RESULTS SUMMARY TABLE:

Attribute Design Capacity Ratio Status
Tu {{tension | number : 1}} {{Trg | number : 1}} {{tension/Trg | number : 2}} {{memtensstatus}}
Vu {{Vu | number : 1}} {{Vr | number : 1}} {{Vu/Vr | number : 2}} {{memshearstatus}}
CuX {{axial | number : 1}} {{CrX | number : 1}} {{axial/CrX | number : 2}} {{CXstatus}} {{srxstatus}}
CuY {{axial | number : 1}} {{CrY | number : 1}} {{axial/CrY | number : 2}} {{CYstatus}} {{srystatus}}
MuX {{MuX | number : 1}} {{MrX | number : 1}} {{MuX/MrX | number : 2}} {{MXstatus}}
MuY {{MuY | number : 1}} {{MrY | number : 1}} {{MuY/MrY | number : 2}} {{MYstatus}}
Comp/Bending - - {{interaction | number : 2}} {{interactionstatus}}
Tens/Bending - - {{tensinteraction | number : 2}} {{tensinteractionstatus}}
Bi-Axial Bending - - {{biaxialDC | number : 2}} {{biaxialstatus}}
Overall - - {{maxDC | number : 2}} {{memstatus}}

SANS 10162 Calculations

Tension:

Tr (Tension Capacity) = ∅ x Ag x Fy = 0.9 x {{selectedBeam.A}} x {{selectedsteel.fy}} = {{Trg | number : 1}} kN

Shear:

Vr (Shear Capacity) = ∅ x Av x Fs = 0.9 x ({{selectedBeam.h}}/1000) x {{selectedBeam.tw}} x 0.66 x {{selectedsteel.fy}} = {{Vr | number : 1}} kN

Compression:

λx = (KL/rx) √ (fy/π^2xE) = {{KLX*1000}}/{{selectedBeam.rX}}x√({{selectedsteel.fy}}/π^2xE) = {{lamdaX | number : 2}} (Non-Dimensional)

CrX (Strong Axis Compression Capacity) = ∅ x A x Fy (1+λx^2n)^-1/n = 0.9 x {{selectedBeam.A}} x {{selectedsteel.fy}} (1+{{lamdaX | number : 3}}^2(1.34))^-1/(1.34) = {{MrX | number : 2}} kN

λy = (KL/ry) √ (fy/π^2xE) = {{KLY*1000}}/{{selectedBeam.rY}}x√({{selectedsteel.fy}}/π^2xE) = {{lamdaY | number : 2}} (Non-Dimensional)

CrY (Weak Axis Compression Capacity) = ∅ x A x Fy (1+λy^2n)^-1/n = 0.9 x {{selectedBeam.A}} x {{selectedsteel.fy}} (1+{{lamdaY | number : 3}}^2(1.34))^-1/(1.34) = {{MrY | number : 2}} kN

Bending:

MpX (Plastic Strong Axis Moment Capacity) = Zpl x fy = ({{selectedBeam.ZeplX}}/1000) x {{selectedsteel.fy}} = {{MpX | number : 2}} kNm

MpY (Plastic Weak Axis Moment Capacity) = Zpl x fy = ({{selectedBeam.ZeplY}}/1000) x {{selectedsteel.fy}} = {{MpY | number : 2}} kNm

MyX (Elastic Strong Axis Moment Capacity) = Ze x fy = ({{selectedBeam.ZeX}}/1000) x {{selectedsteel.fy}} = {{MyX | number : 2}} kNm

MyY (Elastic Weak Axis Moment Capacity) = Ze x fy = ({{selectedBeam.ZeY}}/1000) x {{selectedsteel.fy}} = {{MyY | number : 2}} kNm

Mcr (Critical Elastic Moment) = (ω 2 x π / KL)√(ExIxGxJ + (πE/KL)^2 x IxCw)) = {{McrY | number : 2}} kNm

MrX (Strong Axis Moment Capacity) = Lesser of ∅ x Mcr, ∅ x Mp (Class 1/2), ∅ x My (Class 3/4) = {{MrX | number : 2}} kNm

MrY (Weak Axis Moment Capacity) = ∅ x Mp (Class 1/2), ∅ x My (Class 3/4) = {{MrY | number : 2}} kNm

Interactions:

U1X (Second Order Deformation) = ω 1 / (1 - Cu/Ce) where Ce = π^2xExI/L^2 = {{U1X | number : 2}} (Non-Dimensional)

U1Y (Second Order Deformation) = ω 1 / (1 - Cu/Ce) where Ce = π^2xExI/L^2 = {{U1Y | number : 2}} (Non-Dimensional)

Axial Compression & Bending = Cu/Cr + 0.85 x U1X x MuX / MrX + β x U1Y x MuY / MrY (Class 1/2) or Cu/Cr + U1X x MuX / MrX + U1Y x MuY / MrY (Class 3/4) = {{interaction | number : 2}}

Axial Tension & Bending = Tu/Tr + Mu/Mr = {{tensinteraction | number : 2}}

Bi-Axial Bending = MuX/MrX + MuY/MrY = {{biaxialDC | number : 2}}