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Joint Geometry Data: (+ve Tension, - Ve Compression)

This document provides geometry data and analysis of the forces and strengths of a T-shaped steel joint with a chord section of 200x200x8 mm and a brace section of 100x200x8 mm. Key details include: the chord can resist 219,404 N of axial force through chord wall plastification; the joint's in-plane flexural strength is 242,123,373 N-mm governed by chord wall plastification; and the out-of-plane flexural strength is 146,864,39 N-mm also governed by chord wall plastification. The utilization ratio of the joint is calculated to be 1.89, validating its design.

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Utkarsh Ramayan
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0% found this document useful (0 votes)
58 views6 pages

Joint Geometry Data: (+ve Tension, - Ve Compression)

This document provides geometry data and analysis of the forces and strengths of a T-shaped steel joint with a chord section of 200x200x8 mm and a brace section of 100x200x8 mm. Key details include: the chord can resist 219,404 N of axial force through chord wall plastification; the joint's in-plane flexural strength is 242,123,373 N-mm governed by chord wall plastification; and the out-of-plane flexural strength is 146,864,39 N-mm also governed by chord wall plastification. The utilization ratio of the joint is calculated to be 1.89, validating its design.

Uploaded by

Utkarsh Ramayan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Joint Geometry Data

Joint Checked ID LoadComb Pos


Chord SBm330 C808 1
Brace SBm726 C808 1

Chord Data
Chord section Width, B 200 mm
Chord Section Height, H 200 mm
Chord thickness, t 8 mm
Chord yield sterngth, Fyc 355 MPa
Outer Corner radius, k 12 mm
Youngs Mod 205000 MPa

Brace Data
Brace section width, Bb 100 mm
Brace section height, Hb 200 mm
Brace section thickness, tb 8 mm
Brace yield strength, Fyb 355 MPa
θ 90 Degree

Joint Parameters
Joint Type T
Width Ratio, β = Bb/B 0.5
Chord slenderness ration, γ = B/2t 12.5 12.5
lb = Hb/sinθ 200 200
Load length parameter, η = lb/B 1 1
βeop =5β/γ <= β 0.2 K2-25
beoi 40 K2-13

Limits of applicability - Table K2.2A and K3.2.A


Parameter Value Min Max Validity
Branch angle 90 30 - Valid
Chord wall slenderness, B/t 25 - 35 Valid
Chord wall slenderness, H/t 25 - 35 Valid
Branch wall slenderness, Bb/tb 12.5 - 30.03812132 Valid
Branch wall slenderness, Hb/tb 25 - 30.03812132 Valid
Width ratio, Bb/B 0.50 0.25 - Valid
Width ratio, Hb/B 1.00 0.25 - Valid
Aspect ratio, Hb/Bb 2.00 0.50 2 Valid
Aspect ratio, H/B 1.00 0.50 2 Valid
Material Strength, Fy 355 - 360 Valid
Material Strength, Fyb 355 - 360 Valid

Joint Forces / Moments Chord Brace


Axial force, N (+ve Tension, -ve compression) 182508 -378166
IPB, N-mm 62608100 786276
OPB, N-mm 32765400 1922410
Member UC 0.61 0.27

Section Properties Chord Brace


2
C/S Area, mm 6144 4544
Section modulus, S (in-plane), mm3 378143 230601
Section modulus, S (out-of-plane), mm3 378143 151571
3
Plastic modulus, Z (in-plane), mm 442624 289024
3
Plastic modulus, Z (out-of-plane), mm 442624 175424

Chord UC, U 0.61 K1-6


Chord load factor, Qf 1.00 K1-5a , K1-16
Axial Strength, Pc
Failure Model Pc φ φPc (N)
Chord Wall Plastification 219404 1 219404 K2-7
Shear yielding (punching) NA 0.95 - K2-8
Local yielding of chord side walls NA 1 - K2-9
Local crippling of side walls NA 0.75 - K2-10
Local crippling of side walls NA 0.9 - K2-11
Local Yielding of Branch NA 0.95 - K2-12
Axial strength, Pc 219404

In-Plane Flexural Strength, Mc-ip


Failure Model Mc-ip φ φMc-ip
Chord Wall Plastification 24212373 1 24212373 K3-6
Side wall local yielding NA 1 - K3-7
Local Yielding of Branch NA 0.95 - K3-8
In-plane flexural strength, Mc-ip 24212373

Out-of-plane Flexural Strength, Mc-op


Failure Model Mc-op φ φMc-op
Chord Wall Plastification 14686439 1 14686439 K3-9
Side wall local yielding NA 1 - K3-10
Local Yielding of Branch NA 0.95 - K3-11
Chord Distortional Failure 73349864 1 73349864 K3-12
Out-of-plane flexural strength, Mc-op 14686439

UCaxial = Pr/Pc 1.72


UCipb = Mr-ip/Mc-ip 0.03
UCopb = Mr-op/ Mc-op 0.13
UC = Pr/Pc + Mr-ip/Mc-ip + Mr-op/ Mc-op 1.89
0
1

0
817920

1.13681751
2.0752365
0.02630229
3.2383563

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