Beam Desgin Sheet

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Job No.

ARUP

Sheet No.

Revision.

25088/60 Ove Arup & Partners Calculation Spreadsheet Member/Location

Job Title

Proposed Residential Development at Hoi Fai Road Beam Design (B2B041) T- Beam

VL Mar-15

Made By Date

Filename Checked by

1. DESIGN PARAMETERS Beam Properties Support Condition : Actual Span, l = Actual Width of Left Slab (between beam faces), b1 = Actual Width of Right Slab (between beam faces), b2 =

1 4 2300 2300

Section Properties Beam Section : Effective Flange Width, bf = Web Width, bw = Member Depth, h = Flange Depth, hf = rminal cover to all reinforcement at compression zone = Norminal cover to all reinforcement at tension zone =

T1660 400 600 125 70 70

(1 for SIMPLY SUPPORTED, 2 for END SPAN, 3 for INTERMEDIATE SPAN) m mm Reinforcement mm Compression Steel Diameter = 16 No = 4 Beam d' = 88 mm mm Tension Steel (larger size) mm No. of layers = 1 mm Diameter = 40 mm mm No = 8 mm Spacing c/c = 29 mm mm Tension Steel (smaller size) Diameter = mm No = N/mm2 N/mm2 Links N/mm2 Diameter of Link = 10 mm

Material Properties fcu = fy = fyv =

40 460 460

2. TENSION REINFORCEMENT DESIGN (ULTIMATE LIMIT DESIGN CHECK) Maximium Design Ulitmate Bending Moment Maximium Resistance Moment of the Flange Mf =

Mu =

1634 KNm

1000.0 KNm Depth of stess block lying within the flange Design as T-beam

Effective Depth d = 500.0 mm z = d[0.5+(0.25-K/0.9)^0.5] = 464 mm 0.5Vc, PROVIDE SHEAR LINKS AS DESCRIBED IN HK Code 2004 i) Minimum link requirement, Asv = 120 mm2 ii) HK Code 2004 requirement, Asv = 1029.66 mm2 Desgin Shear Reinforcement: Links Diameter L = Spacing = No. of Legs = fyv = Asv Provided = Provide

10 300 6 460 471 T

mm

mm Legs N/mm2 mm2 10

< Asv, Provide more links 300

Job No.

ARUP

Sheet No.

Revision.

25088/60 Ove Arup & Partners Calculation Spreadsheet Member/Location

Job Title

Proposed Residential Development at Hoi Fai Road Beam Design (B2B001)

Made By Date

VL Mar-15

Filename

20 16 90

mm

Checked by

1. DESIGN PARAMETERS Section Properties Effective Width, b Member Depth, h rminal cover to all reinforcement at compression zone Norminal cover to all reinforcement at tension zone

Reinforcement = = = =

300 650 70 70

mm mm mm mm

Compression Steel

Diameter = No = d' =

mm

Tension Steel (larger size)

Material Properties fcu = fy = fyv =

40 460 460

No. of layers Diameter No Spacing c/c

N/mm2 N/mm2 N/mm2

= = = =

1 32 16 7

mm mm

Tension Steel (smaller size)

Support Properties Support Width, Sw =

1080

mm

10

mm

Diameter = No =

mm

Links Diameter of Link =

2. TENSION REINFORCEMENT DESIGN (ULTIMATE LIMIT DESIGN CHECK) Maximum Ultimate Bending Moment at Support Centreline M = Design Ultimate Support Reaction F = Design Ulitmate Bending Moment Mu = F(Sw)/8 = Effective Depth d = 554.0 mm z = d[0.5+(0.25-K/0.9)^0.5] = 535 mm >0.95d = M/(bd2fcu) = 0.030 As REQUIRED, OK!

3. SHEAR REINFORCEMENT DESIGN Maximum Design Shear Force V = 2200.0 KN 100As/bd = 3.00 should not be taken greater than 3 from Table 6.39 vc= 1.07 N/mm2 1.466 v= 13.24 N/mm2 SINCE V > 0.5Vc, PROVIDE SHEAR LINKS AS DESCRIBED IN HK Code 2004 i) Minimum link requirement, Asv 90 mm2 ii) HK Code 2004 requirement, Asv 2737.10 mm2 Desgin Shear Reinforcement: Links Diameter L = Spacing = No. of Legs = fyv = Asv Provided = Provide

10 300 8 460 628 T

mm

mm Legs N/mm2 mm2 10

< Asv, Provide more links 300

Job No.

ARUP

Sheet No.

Revision.

25088/60 Ove Arup & Partners Calculation Spreadsheet Member/Location

Job Title

Proposed Residential Development at Hoi Fai Road Beam Design (GB228)

Made By Date

AC Mar-15

Filename

16 2 88

mm

Checked by

1. DESIGN PARAMETERS Section Properties Effective Width, b Member Depth, h rminal cover to all reinforcement at compression zone Norminal cover to all reinforcement at tension zone

Reinforcement = = = =

300 650 70 70

mm mm mm mm

Compression Steel

Diameter = No = d' =

mm

Tension Steel (larger size)

Material Properties fcu = fy = fyv =

40 460 460

No. of layers Diameter No Spacing c/c

N/mm2 N/mm2 N/mm2

= = = =

1 20 2 120

mm mm

Tension Steel (smaller size)

Links Diameter of Link =

10

Diameter = No =

mm

mm

2. TENSION REINFORCEMENT DESIGN (ULTIMATE LIMIT DESIGN CHECK) Design Ulitmate Bending Moment * Mu =

126.7 KNm

Effective Depth d = 560.0 mm z = d[0.5+(0.25-K/0.9)^0.5] = 538 mm >0.95d = M/(bd2fcu) = 0.034 As REQUIRED, OK!

0.3% 2

T

20

3. SHEAR REINFORCEMENT DESIGN Maximum Design Shear Force V = 100As/bd = 0.37 vc= v=

0.53 N/mm2 0.933 0.75 N/mm2 PROVIDE MINIMUM SHEAR LINKS! i) Minimum link requirement, Asv 90 ii) HK Code 2004 requirement, Asv 0.00

Desgin Shear Reinforcement: Links Diameter L = Spacing =

10 mm 300 mm

No. of Legs = fyv = Asv Provided = Provide

126.7 KN

T

2 Legs 460 N/mm2 157 mm2 10

>Asv Required, OK! 300

mm2 mm2

Job No.

ARUP

Sheet No.

Revision.

25088/60 Ove Arup & Partners Calculation Spreadsheet Member/Location

Job Title

Proposed Residential Development at Hoi Fai Road Beam Design (B2B043)

Made By Date

VL Mar-15

Filename

16 8 88

mm

Checked by

1. DESIGN PARAMETERS Section Properties Effective Width, b Member Depth, h rminal cover to all reinforcement at compression zone Norminal cover to all reinforcement at tension zone

Reinforcement = = = =

1000 700 70 70

mm mm mm mm

Compression Steel

Diameter = No = d' =

mm

Tension Steel (larger size)

Material Properties fcu = fy = fyv =

40 460 460

No. of layers Diameter No Spacing c/c

N/mm2 N/mm2 N/mm2

= = = =

1 16 8 118

mm mm

Tension Steel (smaller size)

Links Diameter of Link =

10

Diameter = No =

mm

mm

2. TENSION REINFORCEMENT DESIGN (ULTIMATE LIMIT DESIGN CHECK) Design Ulitmate Bending Moment * Mu = 340.0 KNm * Design Bending Moment = max(BM at 0.2xSupport Dia. inside Support Face, 0.65xBM at Support C.L.) Effective Depth d = 612.0 mm z = d[0.5+(0.25-K/0.9)^0.5] = 596 mm >0.95d = 581 mm M/(bd2fcu) = 0.023 As REQUIRED, OK!

0.2% 8

T

16

3. SHEAR REINFORCEMENT DESIGN Maximum Design Shear Force V = 100As/bd = 0.26 vc= v=

0.47 N/mm2 0.873 0.65 N/mm2 PROVIDE MINIMUM SHEAR LINKS! i) Minimum link requirement, Asv 300 ii) HK Code 2004 requirement, Asv 0.00

Desgin Shear Reinforcement: Links Diameter L = Spacing =

10 mm 300 mm

No. of Legs = fyv = Asv Provided = Provide

400.0 KN

T

4 Legs 460 N/mm2 314 mm2 10

>Asv Required, OK! 300

mm2 mm2

03/15/2015_18:26:50

T2TB001

Job No.

ARUP

Sheet No.

Revision.

25088/60 Ove Arup & Partners Calculation Spreadsheet Member/Location

Job Title

Proposed Residential Development at Hoi Fai Road #VALUE!

AC

Made By Date

Filename Checked by

1. DESIGN PARAMETERS Section Properties Effective Width, b Member Depth, h rminal cover to all reinforcement at compression zone Norminal cover to all reinforcement at tension zone

Reinforcement = = = =

1000 180 32 32

mm mm mm mm

Compression Steel

Diameter = No = d' =

10 3 47

mm mm

Tension Steel (larger size)

Material Properties fcu = fy = fyv =

25 500 500

No. of layers Diameter No Spacing c/c

N/mm2 N/mm2 N/mm2

= = = =

1 10 10 103

mm mm

Tension Steel (smaller size)

Links Diameter of Link =

0

Diameter = No =

mm

0 0

mm

2. TENSION REINFORCEMENT DESIGN (ULTIMATE LIMIT DESIGN CHECK) Design Ulitmate Bending Moment * Mu =

31.9 KNm

Effective Depth d = 143.0 mm z = d[0.5+(0.25-K/0.9)^0.5] = 132 mm
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