beam74

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1 Level: Name : Reference level : --- Fire rating : 0 (h) Maximum cr acki ng : 0.30 ( mm) Environment class : moderate Concrete cr eep coefficient : ϕ p = 2.00 2 Beam: Beam74 Number: 1 2.1 Material properties: Concrete : CONCR f  cu = 25.00 (MPa) Unit weigh t : 2501.36 (kG/m3) Longitudinal reinforcement : f  y = 460.00 (MPa) Transversal reinforcement : f  y = 460.00 (MPa) 2.2 Geometry: 2.2.1 Span Position L.supp. L R.supp. (m) (m) (m) P1 Span 0.40 3.85 0.40 Span length: L o = 4.25 (m) Section from 0.00 t o 3.85 (m) 20.0 x 60.0 (cm) without left slab without right slab 2.3 Calculation options: Regulation of combinations : LRFD Calculations according to : BS 8110 Precast beam : no Cover : bottom c = 3.0 (cm) : side c1 = 3.0 (cm) : top c2 = 3.0 (cm) 2.4 Calculation results: 2.4.1 Internal forces in ULS Span Mtmax. Mtmin. Ml Mr Ql Qr  (kN*m) (kN*m) (kN*m) (kN*m) (kN) (kN) P1 2.95 -10.26 2.74 -23.95 1.11 -14.87

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7/30/2019 Beam74

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1 Level:

• Name :

• Reference level : ---Fire rating : 0 (h)

• Maximum cracking : 0.30 (mm)

• Environment class : moderate

• Concrete creep coefficient : ϕ p = 2.00

2 Beam: Beam74 Number: 1

2.1 Material properties:

• Concrete : CONCR f  cu = 25.00 (MPa)Unit weight : 2501.36 (kG/m3)

• Longitudinal reinforcement : f  y = 460.00(MPa)

• Transversal reinforcement : f  y = 460.00(MPa)

2.2 Geometry:

2.2.1 Span Position L.supp. L R.supp.(m) (m) (m)

P1 Span 0.40 3.85 0.40Span length: Lo = 4.25 (m)

Section from 0.00 to 3.85 (m)20.0 x 60.0 (cm)without left slabwithout right slab

2.3 Calculation options:

• Regulation of combinations : LRFD

• Calculations according to : BS 8110

• Precast beam : no

• Cover : bottom c = 3.0 (cm): side c1 = 3.0 (cm): top c2 = 3.0 (cm)

2.4 Calculation results:

2.4.1 Internal forces in ULS

Span Mtmax. Mtmin. Ml Mr Ql Qr  (kN*m) (kN*m) (kN*m) (kN*m) (kN) (kN)

P1 2.95 -10.26 2.74 -23.95 1.11 -14.87

7/30/2019 Beam74

http://slidepdf.com/reader/full/beam74 2/5

0 0 . 5 1 1 . 5 2 2 . 5 3 3 . 5 4 4 . 56 0

4 0

2 0

0

- 2 0

- 4 0

- 6 0

[ m ]

[ k N * m ]

B e n d i n g M o m e n t U L S :M M r M c

0 0 . 5 1 1 . 5 2 2 . 5 3 3 . 5 4 4 . 5- 2 5

- 2 0

- 1 5

- 1 0- 5

0

5

1 0

1 5

2 0

2 5

[ m ]

[ k N ]

S h e a r F o r c e U L S :V V r V c ( s t i r r u p s )V c ( t o t a l )

2.4.2 Internal forces in SLS

Span Mtmax. Mtmin. Ml Mr Ql Qr  (kN*m) (kN*m) (kN*m) (kN*m) (kN) (kN)

P1 0.00 0.00 0.00 0.00 0.00 0.00

2.4.3 Required reinforcement area

Span Span (cm2) Left support (cm2) Right support (cm2)bottom top bottom top bottom top

P1 0.13 0.00 0.12 0.00 0.00 1.05

7/30/2019 Beam74

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0 0 . 5 1 1 . 5 2 2 . 5 3 3 . 5 4 4 . 52 . 5

2

1 . 5

1

0 . 5

0

0 . 5

1

1 . 5

2

2 . 5

[ m ]

[ c m 2 ]

R e i n f o r c e m e n t A r e a f o r B e n d i n g :A b t A b r A b m i n

0 0 . 5 1 1 . 5 2 2 . 5 3 3 . 5 4 4 . 50 . 8

0 . 6

0 . 4

0 . 2

0

0 . 2

0 . 4

0 . 6

0 . 8

[ m ]

[ c m 2 / m ]

R e i n f o r c e m e n t A r e a f o r S h e a r :A s t A s r A s H a n g

2.4.4 Deflection and cracking

at(s-t) - initial deflection due to total loadap(s-t) - initial deflection due to long-term loadap(l-t) - long-term deflection due to long-term loada - total deflectionaall - allowable deflection

Cw - width of perpendicular cracks

Span at(s-t) ap(s-t) ap(l-t) a aall Cw(cm) (cm) (cm) (cm) (cm) (mm)

P1 0.0 0.0 0.0 0.0=(L0/--) -1.7 0.00

7/30/2019 Beam74

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0 0 . 5 1 1 . 5 2 2 . 5 3 3 . 5 4 4 . 52

1 . 5

1

0 . 5

0

- 0 . 5

- 1

- 1 . 5

- 2

[ m ]

[ c m ]

D e f l e c t i o n s :a p ( s - t ) a p ( l - t ) a t ( s - t ) a a a d m

0 0 . 5 1 1 . 5 2 2 . 5 3 3 . 5 4 4 . 50 . 3

0 . 2

0 . 1

0

0 . 1

0 . 2

0 . 3

[ m ]

[ m m ]

C r a c k i n g :C w C w a d m

2.5 Theoretical results - detailed results:

2.5.1 P1 : Span from 0.40 to 4.25 (m)ULS SLS

 Abscissa M max. M min. M max. M min. A bottom A top(m) (kN*m) (kN*m) (kN*m) (kN*m) (cm2) (cm2)0.40 2.74 -0.00 0.00 0.00 0.12 0.000.63 2.95 -0.00 0.00 0.00 0.13 0.001.05 2.61 -0.00 0.00 0.00 0.11 0.001.48 1.53 -0.00 0.00 0.00 0.07 0.001.90 0.00 -0.30 0.00 0.00 0.00 0.012.33 0.00 -2.88 0.00 0.00 0.00 0.132.75 0.00 -6.19 0.00 0.00 0.00 0.273.18 0.00 -10.26 0.00 0.00 0.00 0.453.60 0.00 -15.06 0.00 0.00 0.00 0.664.03 0.00 -20.62 0.00 0.00 0.00 0.904.25 0.00 -23.95 0.00 0.00 0.00 1.05

ULS SLS Abscissa Q max. Q max. Cw(m) (kN) (kN) (mm)0.40 1.11 0.00 0.000.63 0.31 0.00 0.00

1.05 -1.68 0.00 0.001.48 -3.43 0.00 0.001.90 -5.18 0.00 0.002.33 -6.93 0.00 0.002.75 -8.68 0.00 0.003.18 -10.44 0.00 0.003.60 -12.19 0.00 0.004.03 -13.94 0.00 0.004.25 -14.87 0.00 0.00

7/30/2019 Beam74

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2.6 Reinforcement:

2.6.1 P1 : Span from 0.40 to 4.25 (m)Longitudinal reinforcement:

• bottom 

2 12 l = 4.92 from 0.03 to 4.62

• assembling (top) 2 8 l = 1.78 from 0.03 to 1.81

• support ()

2 12 l = 3.85 from 0.94 to 4.62

Transversal reinforcement:

• main 

stirrups 11 6 l = 1.33e = 1*0.03 + 10*0.38 (m)

pins 11 6 l = 1.33e = 1*0.03 + 10*0.38 (m)

3 Material survey:

• Concrete volume = 0.56 (m3)

• Formwork = 6.59 (m2)

• Steel

• Total weight = 20.25 (kG)

• Density = 36.29 (kG/m3)

•  Average diameter = 9.1 (mm)

• Survey according to diameters:

Diameter Length Weight NumberTotal weight(mm) (m) (kG) (No.) (kG)6 1.33 0.30 11 3.25

8 1.78 0.70 2 1.4112 3.85 3.42 2 6.8412 4.92 4.37 2 8.75