Rafters to Ec3

March 16, 2017 | Author: starsplesh | Category: N/A
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Job No: Job Name: Date: Drawing Ref: Prepared by: Checked by: Site Ref: Other:

Common Rafters

Span Centres

= =

3100 400

mm mm

Permanent Load (gk)

=

1.02

kN/m

γG

=

Variable Load (qk)

=

0.6

kN/m

γQ

=

γG gk + γQ qk = Loading FEd

2.277 kN/m2 =

2.277 kN/m2

x

400 mm

=

=

0.91 kN/m

x

3100 mm

=

MEd

FEd x Span

=

1.09 kNm

8 Use the following grade timber: fm,k ->

=

16 N/mm2

E0,mean

=

8000 N/mm2

-> Wy,req

C16

MEd



σm,y,d σm,y,d fm,y,d fm,y,d

Service Class: kh ksys kmod

σm,z,d

+

km

=

kh

ksys

kmod

=

1.00

1.10

0.80

= = =

2 1.00 1.10 0.80

fm,z,d



1

fm,k γm 16 1.30

=

10.83

γm km

=

1.30

=

0.70 Job No: Job Name: Date: Drawing Ref: Prepared by: Checked by: Site Ref: Other:

Common Rafters σm,y,d

+

10.83 ->

0.70

σm,y,d

Wy,req

σm,z,d



fm,z,d



10.83 N/mm-2 MEd



1.09

=

σm,y,d Provide: Iy

1

=

10.83

101.02

47 x 125 C16 Grade Timber Rafter

Wy

=

7.65 x 106mm4

=

122 x103mm3

Deflection Permanent Load (gk)

=

1.02

kN/m

Variable Load (qk)

=

0.6

kN/m

x

400

x

3100

=

x

400

x

3100

=

Permanent Load per Joist (Fd,G) = 1.02 Variable Load per Joist (Fd,Q) = uinstG

=

0.6 5 384

E

=

uinstG

=

1.93

uinstQ

=

5 384

uinstQ

=

x

Fd,G L3 EI

8000 N/mm2

1.14

12 5

+

A

x

=

5875

mm

x

mm

Fd,Q L3 EI

+

12 5

x

kdef

=

ufin,G

=

0.8 uinstG (1+kdef)

=

3.48 mm Job No: Job Name: Date: Drawing Ref: Prepared by: Checked by: Site Ref: Other:

Common Rafters ufin,Q1

=

Ψ2

=

ufin,Q1

=

ufin

=

wfin

=

uinst,Q1 (1+Ψ2kdef) 0.3 1.41 mm ufin,G Span 250

=

Provide: Iy

ufin,Q1

+

12.40

=

=

12.4 mm

>

4.89

47 x 125 C16 Grade Timber Rafter =

7.65 x 106mm4

Wy

=

122 x103mm3

ufin

=

4.89 mm

4.89 mm

1

1.35 1.5

0.91 kN/m 2.82 kN

10.83

N/mm-2

101.02

x103mm3

1.265 kN 0.744 kN Fd,G L3 EA 5875

Fd,Q L3 EA

mm2

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