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Mathcad - 02. Design Loads
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National Technical Training Institute Reinforced Concrete Design in Mathcad
(Design Loads) . (Load on Slab)
.: - La 4m- Lb 5m (compute the slab thickness)
hminPerimeter
F=
2 La Lb F
=
hmin = Perimeter = F = 150 200
hmin2 La Lb
170105.882 mm
hs Ceil hmin 10mm 110 mm
Lectured by: SOK RASMEY, M. Eng, Page 13
National Technical Training Institute Reinforced Concrete Design in Mathcad
1. (Uniformly distributed dead loads)
- (Self-weigth of slab)
Slab hs 25kN
m32.75
kN
m2
- (Ceramic + bedding)
Covering 50mm 22 kNm3
1.1kN
m2
- (Plastering)
Plastering 20mm 20 kNm3
0.4kN
m2
- (Gypsum board ceiling)
Ceiling 0.2kN
m20.4
kN
m2
=
- (Mechanical and electricity)
Mechanical 0.24kN
m2
- (Partition or Others)
Partition 1.5kN
m2
DL Slab Covering Plastering Mechanical Partition 5.99 kNm2
2. (Uniformly distributed live load)
LL 2.4kN
m2 () ( 10)
3. ACI (Load combination according to ACI Code) - (Service limit state, SLS)
ws DL LL 8.39kN
m2
- (Ultimate limit state, ULS)
wu 1.2DL 1.6LL 11.028kN
m2
Lectured by: SOK RASMEY, M. Eng, Page 14
National Technical Training Institute Reinforced Concrete Design in Mathcad
. (Loads on beam)
.: -
RatioLa
Lb0.5=
RatioLb
La2.0=
0.5 RatioLa
Lb1.0=
1.0 RatioLb
La2.0=
La = Lb =
a. B1 La 4.5m Lb 5.0m
RatioLa
Lb0.9
Slab "is two-way action." 0.5 Ratio 1.0if"is one-way action." otherwise
Slab "is two-way action."
Lectured by: SOK RASMEY, M. Eng, Page 15
National Technical Training Institute Reinforced Concrete Design in Mathcad
b. B1 La 4.0m Lb 5.0m
RatioLa
Lb0.8
Slab "is two-way action." 0.5 Ratio 1.0if"is one-way action." otherwise
Slab "is two-way action."1. B1 .:
B1 B2: LB1 5.0m LB2 4m
hminLB1
21238.095 mm
(Alternatively):
(Girder): L8
L
10
L
10
L
15
L
15
L
20
hmin
1
10
1
15
LB1 500 333.333( ) mm
h 400mm/ b 0.3 0.6( )h 120 240( ) mm
Lectured by: SOK RASMEY, M. Eng, Page 16
National Technical Training Institute Reinforced Concrete Design in Mathcad
b 200mm2. ( Distributed dead load)
- B1 b h hs 25 kNm3
1.45kN
m
-
Viod 30mm( )2
4180 mm 4 508.938 cm3
Wall10 120mm55
m2Viod
20 kN
m31.84
kN
m2
Wall20 220mm110
m2Viod
20 kN
m33.28
kN
m2
hw 3.2m 40cm 2.8 mwwall Wall10 hw 5.152
kN
m ()
-
wslab1 DL4.5m
2 13.477 kN
m ( )
wslab2 DL4m
2 11.98 kN
m ( )
3. (Distributed live load)
wLL1 LL4.5m
2 5.4 kN
m
wLL2 LL4m
2 4.8 kN
m
4. ( )
k 1 22 3=a1
4.5m
22.25 m a2
4m
22 m
1a1
LB10.45 2
a2
LB10.4
k1 1 212 13 0.686
k2 1 222 23 0.744
Lectured by: SOK RASMEY, M. Eng, Page 17
National Technical Training Institute Reinforced Concrete Design in Mathcad
5. (Load combination) 5.1 (Ultimate limit state, ULS)
wu1 1.4 B1 wwall wslab1 k1 wslab2 k2 34.668 kNmwu2 1.2 B1 wwall wslab1 k1 wslab2 k2 1.6 wLL1 k1 wLL2 k2 wu2 41.357
kN
m
wu max wu1 wu2 41.357 kNm5.2 (Service limit state, SLS)
wa B1 wwall wslab1 k1 wslab2 k2 wLL1 k1 wLL2 k2 wa 32.039
kN
m
Lectured by: SOK RASMEY, M. Eng, Page 18
National Technical Training Institute Reinforced Concrete Design in Mathcad
6. (Calculate the moments)
.: ACI (a) (b) (c) 3m (d)
Lectured by: SOK RASMEY, M. Eng, Page 19
National Technical Training Institute Reinforced Concrete Design in Mathcad
.: . : ACI
(interior span)
Lectured by: SOK RASMEY, M. Eng, Page 20
National Technical Training Institute Reinforced Concrete Design in Mathcad
.: - (Ultimate Limit State) (clear span)
Ln1 LB1 30cm 4.7 m ()
Lectured by: SOK RASMEY, M. Eng, Page 21
National Technical Training Institute Reinforced Concrete Design in Mathcad
Ln2LB1 LB2
230cm 4.2 m ()
Mu.neg1
11wu Ln22 66.322 kN m ()
Mu.pos1
16wu Ln12 57.099 kN m ( )
- (Service Limit State)
Ma.neg1
11wa Ln22 51.379 kN m ()
Ma.pos1
16wa Ln12 44.234 kN m ( )
. (Load on Column)
.:
Lectured by: SOK RASMEY, M. Eng, Page 22
National Technical Training Institute Reinforced Concrete Design in Mathcad
.: 3D
B 4m L 4.5m AT B L 18 m2 n 9 () H0 2.9m Hmez 2.5m H 3.2m
Lectured by: SOK RASMEY, M. Eng, Page 23
National Technical Training Institute Reinforced Concrete Design in Mathcad
1. (dead load) PD.slab DL AT n 970.38 kN (slab load)
PBeam b h hs B L( ) 25 kNm3
n 110.925 kN (beam load)
Pwall H0 h Hmez h H h( ) n 3( )
B L( ) Wall10 334.727 kN
5% 7% PColumn PD.slab PBeam Pwall 5 % 70.802 kN
PDL PD.slab PBeam Pwall PColumn 1486.833 kN
2. (Live load) (Live load reduction factor) RLL
RLL 0.254.57m
KLL AT 0.4=
KLL = (live load element factor) KLL 4 (interior column)
RLL max 0.254.572m
KLL AT 0.4
0.789
PLL LL AT RLL n 1( ) 272.615 kN ()
PLr 1.0kN
m2AT 18 kN ()
3. (Load combination) Pu 1.2PDL 1.6PLL 0.5 PLr 2229.383 kNPa PDL PLL PLr 1777.448 kN
Lectured by: SOK RASMEY, M. Eng, Page 24
National Technical Training Institute Reinforced Concrete Design in Mathcad
wuPu
AT n13.762
kN
m2 wu 1.403
tonnef
m2
waPa
AT n10.972
kN
m2 wa 1.119
tonnef
m2
wu 12 18( )kN
m2=
wa 10 14( )kN
m2=
. (Roof Loads)
.: - H 1.909m- L 2 2.75 m 5.5 m- atan H
0.5L
34.768 deg
- CPAC: wtile 40kgf
m20.392
kN
m2 ( CPAC)
- (Purlin):
spurlin 320mm
Lectured by: SOK RASMEY, M. Eng, Page 25
National Technical Training Institute Reinforced Concrete Design in Mathcad
25x25x1:
w25x25x1 25mm 25 mm 25mm 1mm 2( ) 25mm 1mm 2( )[ ] 7850kgf
m3
w25x25x1 0.754kgf
m
wpurlinw25x25x1 1 m
spurlin 1 m cos ( )2.867
kgf
m2 wpurlin 0.028
kN
m2
- (Rafter)
srafter 600mm
w40x80x1.8 40mm 80 mm 40mm 1.8mm 2( ) 80mm 1.8mm 2( )[ ] 7850kgf
m3
w40x80x1.8 3.289kgf
m
wrafterw40x80x1.8 1 m
srafter 1 m cos ( )6.674
kgf
m2 wrafter 0.065
kN
m2
- (king post) spost 3.6m Hpost 1.6m
wpost
20cm 20 cm Hpost 25kN
m3
spostL
2
0.162kN
m2
- (ridge beam) Lridge 3.6m
wridge
20cm 30 cm Lridge 25kN
m3
LridgeL
2
0.545kN
m2
Lectured by: SOK RASMEY, M. Eng, Page 26
National Technical Training Institute Reinforced Concrete Design in Mathcad
wDL wtile wpurlin wrafter wpost wridge 1.193kN
m2
Lr 0.96 R1 R2= 0.58kPa Lr 0.96kPa
R1 =
R2 =
AT spostL
2 9.9 m2 ()
Slope HL
2
69.418 %
F 0.12 Slope%
8.33
R1 1 AT 18.58m2if
1.20.011
m2AT
18.58m2 AT 55.74m2if
0.6 otherwise
R1 1
R2 1 F 4if1.2 0.05 F( ) 4 F 12if
0.6 otherwise
R2 0.783
Lr 0.96kN
m2R1 R2 0.752
kN
m2
wLr max Lr 0.58kN
m2
0.752
kN
m2
Lectured by: SOK RASMEY, M. Eng, Page 27
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