Steel Stanchion Design Calcsheet v.0

August 2, 2017 | Author: Olusegun S. Ajibola | Category: Strength Of Materials, Buckling, Continuum Mechanics, Physics & Mathematics, Physics
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Short Description

A calculation sheet for designing UC/UB stanchions to BS5950-1 (2000)...

Description

Project:

Job Ref: Date: Sheet No: Made by: Checked by:

[email protected] Structure: TYPICAL STANCHION REF BS5950-1 [2000]

CALCULATIONS Design Axial load, F = Eccentricity of axial load,e = Moment due to continuity,M= Segment length along x-x = Segment length along y-y = Try:

305 D = B =

55 0 45 7 3

x 165 x 46 306.6 mm 165.7 mm

OUTPUT

kN mm kNm m m

(Compression) (Min. ecc. for simple connection =

kg/m

UB rxx = ryy =

130 mm 39 mm

253mm)

d = u =

265.2 mm 0.891

t =

6.7 mm

Zxx =

6.46E+05 mm

3

x =

27.1

T =

11.8 mm

Zyy =

1.08E+05 mm

3

H =

0.195

A =

5870 mm2

b/T =

7.02

Sxx =

7.20E+05 mm

3

d/t =

39.6

Syy =

1.66E+05 mm

3

Section Classification (for local buckling) (i) Flange Table 9 Table 11 Table 11

With t =

11.8mm ,

275 N/mm2

Design strength,Pyf =

Є = (275/Py)1/2 = Limiting width-thickness ratio b/t = 7.02 ≤

1 9Є

Flange section is Plastic

(i)

(ii) Web Table 9 Table 11

With t =

6.7mm ,

275 N/mm2

Design strength,Pyw =

Є = (275/Py)1/2 = 1 Checking for web 'generally' because of shift in neutral axis due to combined axial and moment, Stress ratio r1 =

Fc dtPyw 0.1126 where -1 < r1 ≤ 1 (ri is -ve for tensile force) Fc AgPyw 89.8828 85.6 = 0.0341 40 71.9063 85.555 112.34 39.6 ≤ 80Є/1+r1 Web section is Plastic (ii)

r1 = Stress ratio r2 =

Table 11

4.8.3.2.a

4.2.5.2

4.8.3.2.a

r1 d/t = (a) Local Capacity Check F AgFy

+

Mx Mcx

Design strength,Py = 275 Moment due to ecc. Me = 0 Design moment,Mx = 45 Mcx = PySx < = 198 kNm Ignoring minor axis moment (My) F + Mx AgFy Mcx 55 + 45 1614.25 198

+

My Mcy



1

2

N/mm kNm kNm 1.2PyZx 213.2

For Plastic Sections



1

=

0.261

<

1 Segun

1

(Low Shear)

OK

Project:

Job Ref: Date: Sheet No: Made by: Checked by:

[email protected] Structure: STANCHIONS REF 4.8.3.3.1

CALCULATIONS

Table 22

Table 23 Table 24

+

mxMx Mb

= =

λ
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