C a l c u l a t i o n o f D e f l e c t i o n A c c o r d i n g t o A C I 3 18 18 M -9 -9 9 Concrete Compressive Strength (f' c) Concrete Modulus of Rupture (f r ) Concrete Modulus of Elasticity (E c) n (Es/Ec) Section Properties Thickness of Section (t) Breadth of Section (b) Tension Reinforcement (A s)
= = =
Span (l) Nutral Axis Depth (z) Gross Moment of Inertia (I g) Cracked Moment of Inertial (I cr ) Cracking Moment (M cr )
= = = = =
= = = =
300.00 Kg/cm2 3.83 MPa 2.6E+04 MPa 7.77
60.00 cm 30.00 cm 8.00 cm2 5.00 m 12.86 cm 540000.00 cm4 132733.36 cm4 6.90E+07 N mm
Service Straining Actions Bending Moment Due to Dead Load only (M d) Bending Moment Due to Live Load only (M l)
= =
% of Sustained Load from the Live Load % of Gross Inertia Used in Calculation Bending Moment Due to Sustained Load (M sus)
= = =
=
30.00 MPa (Eq. 9-9) (Clause 8.5.1) (Clause 8.5.2)
Depth of Ten. Reinforcement (d) = Depth of Comp. Reinforcement (d') = Compression Reinforcement (A s') =
= = =
5.00 3.50
5.40E+09 1.33E+09 6.90
55.00 cm 5.00 cm 2.62 cm2
4
mm 4 mm m. t
(Eq. 9-8)
m.t m.t
= =
5.0E+07 N. mm 3.5E+07 N. mm
50% 100% 6.75 m.t
=
6.8E+07 N. mm
Calculated Short Time Deflection (Calculated by total or percentage of gross moment of inertia) Deflection due to Dead Load ( Di)d = 0.6000 cm = 6.000 mm Deflection due to Live Load ( Di)l = 0.4000 cm = 4.000 mm Efffective Moment of Inertia Under Dead Load Only (I e)d Under Sustained Load (I e)sus Under Dead + Live Load (I e)d+l
(Eq. 9-7) = = =
540000.00 cm4 540000.00 cm4 350712.822 cm4
Modified Short time Deflection Deflection due to Dead Load ( Di)d Deflection due to Sustained Load ( Di)sus Deflection due to Dead + Live Load ( Di)d+l Deflection due to Live Load ( Di)l
= = = =
Additional Long Term Deflection For 5 years or more ( Dlong) = 1.48231 cm For 6 months ( Dlong) = 0.88939 cm
0.6000 0.8000 1.5397 0.9397
= = =
5.40E+09 mm4 5.40E+09 mm4 3.51E+09 mm4
cm cm cm cm For 12 months ( Dlong) For 3 months ( Dlong)
= =
(Clause 9.5.2.5) 1.03762 cm 0.74116 cm
Results -- Flat roofs not supporting and not attached to nonstructural elements likely to be damaged by large large defelections: (Di)l = 0.9397 cm < l/180 = 2.7778 cm -- Floors not supporting and not attached to nonstructural nonstructural elements likely to be damaged by large deflections: (Di)l = 0.9397 cm < l/360 = 1.3889 cm -- Roof or floor construction supporting or or attached to nonstructural elements likely to be damaged by large deflections: (Dlong) + (Di)l = 2.4220 cm > l/480 = 1.04167 cm -- Roof or floor construction supporting or or attached to nonstructural elements not likely to be damaged by large deflections: (Dlong) + (Di)l = 2.4220 cm > l/240 = 2.0833 cm
187190816.xls.ms_office - Rev. 0
Rectangular Section
Project No. General
DESIGN CALCULATION SHEET
Checking
Building
Test2
28/4/02
Sheet No. of
Subject
Date
Computed by --
Checked by
A. HASHEM Approved by
_
_
C a l c u l a t i o n o f D e f l e c t i o n A c c o r d i n g t o A C I 3 18 M -9 9 Concrete Compressive Strength (f' c) Concrete Modulus of Rupture (f r ) Concrete Modulus of Elasticity (E c) n (Es/Ec) Section Properties Thickness of Section (t) Breadth of Wib (b w) Breadth of Flange (b f ) Tension Reinforcement (A s)
= = = =
Span (l) Nutral Axis Depth (z) Gross Moment of Inertia (I g) Cracked Moment of Inertial (I cr ) Cracking Moment (M cr )
= = = = =
= = = =
250.00 Kg/cm2 3.50 MPa 2.4E+04 MPa 8.51
70.00 30.00 120.00 8.00
cm cm cm
=
25.00 MPa (Eq. 9-9) (Clause 8.5.1) (Clause 8.5.2)
Depth of Ten. Reinforcement (d) = Depth of Comp. Reinforcement (d') = Flange Thickness (t f ) = Compression Reinforcement (A s') =
2
cm 5.00 m 9.29 cm 1504252.72 cm4 = 243737.77 cm4 = 1.15E+08 N mm =
1.50E+10 2.44E+09 11.51
65.00 5.00 15.00 2.62
cm cm cm cm
2
4
mm 4 mm m. t
(Eq. 9-8)
Service Straining Actions Bending Moment Due to Dead Load only (M d) Bending Moment Due to Live Load only (M l)
= =
10.00 8.00
m.t m.t
= =
1.0E+08 N. mm 8.0E+07 N. mm
% of Sustained Load from the Live Load % of Gross Inertia Used in Calculation Bending Moment Due to Sustained Load (M sus)
= = =
30% 100% 12.4 m.t
=
1.2E+08 N. mm
Calculated Short Time Deflection (Calculated by total or percentage of gross moment of inertia) Deflection due to Dead Load ( Di)d = 1.0000 cm = 10.000 mm Deflection due to Live Load ( Di)l = 0.5000 cm = 5.000 mm Efffective Moment of Inertia Under Dead Load Only (I e)d Under Sustained Load (I e)sus Under Dead + Live Load (I e)d+l
(Eq. 9-7) = = =
1504252.72 cm 1250592.20 cm4 572903.203 cm4
Modified Short time Deflection Deflection due to Dead Load ( Di)d Deflection due to Sustained Load ( Di)sus Deflection due to Dead + Live Load ( Di)d+l Deflection due to Live Load ( Di)l
4
= = = =
Additional Long Term Deflection For 5 years or more ( Dlong) = 2.59236 cm For 6 months ( Dlong) = 1.55542 cm
1.0000 1.3833 3.9385 2.9385
= = =
1.50E+10 mm 1.25E+10 mm4 5.73E+09 mm4 4
cm cm cm cm For 12 months ( Dlong) For 3 months ( Dlong)
= =
(Clause 9.5.2.5) 1.81465 cm 1.29618 cm
Results -- Flat roofs not supporting and not attached to nonstructural elements likely to be damaged by large defelections: (Di)l = 2.9385 cm > l/180 = 2.7778 cm -- Floors not supporting and not attached to nonstructural elements likely to be damaged by large deflections: (Di)l = 2.9385 cm > l/360 = 1.3889 cm -- Roof or floor construction supporting or attached to nonstructural elements likely to be damaged by large deflections: (Dlong) + (Di)l = 5.5309 cm > l/480 = 1.04167 cm -- Roof or floor construction supporting or attached to nonstructural elements not likely to be damaged by large deflections: Dlong + Di l = 5.5309 cm > l/240 = 2.0833 cm 187190816.xls.ms_office - Rev. 0
