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1 DESGIN OF SLAB

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DESGIN OF SLAB
SLAB 1
LL = 1.9 kPa
Fc’ = 21 MPa
Fy = 248 MPa
Fs = 124 MPa
1. THICKNESS OF SLAB
𝑑=
𝑠
20
𝑑=
1000
20
𝒕 = πŸπŸπŸŽπ’Žπ’Ž
2. Loads Carried
Wt. of floor finishing = 0.75 kPa
Wt. of concrete = 23.54(0.110)
Wt. of concrete = 2.59 kPa
LL = 1.9 kPa
Total Load = 0.75 + 2.59 + 1.9 = 5.24 kPa < 7.9 kPa
3. Use SD 950 x 1.2
Wt. = 12.109 kg/mm2
A = 1560.9 mm2
Sx = 28.843x103 mm3
Ix = 757x103mm4
Load Capacity = 7.9 kPa
4. Check Load Capacity
Total Load + Wt. of SD = 5.24 + 0.0792
Total Load + Wt. of SD = 5.32 kPa < 7.9 kPa (ok)
5. Location of SD Neutral axis from the bottom
𝐢=
𝐼π‘₯
𝑆π‘₯
𝐢=
757π‘₯103
28.843π‘₯103
π‘ͺ = πŸπŸ”. πŸπŸ“ π’Žπ’Ž
6. Effective Depth
110 – 26.25 = 83.75 mm
7. Moment Capacity Considering (0.95) Strip
𝑀=
πΉπ‘π‘˜π‘—π‘π‘‘ 2
2
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
𝑃𝑛 =
𝑛=
𝑛=
𝐴𝑠𝑛
𝑏𝑑
𝐸𝑠
4730√𝑓𝑐 ′
200000
4730√21
= 9.23
𝑃𝑛 =
𝐴𝑠𝑛
𝑏𝑑
𝑃𝑛 =
1560.9(9.23)
950(83.75)
𝑷𝒏 = 𝟎. πŸπŸ–
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
π‘˜ = √(0.18)2 + 2(0.18) − 0.18
π’Œ = 𝟎. πŸ’πŸ’
𝑗=1−
π‘˜
3
𝑗=1−
0.44
3
𝒋 = 𝟎. πŸ–πŸ“
𝑀=
0.45(21)(0.44)(0.85)(950)(83.75)2
2
𝑴 = 𝟏𝟏. πŸ•πŸ– π’Œπ‘΅. π’Ž
𝑀=
𝑀𝐿2
8
83.75(1)2
𝑀=
8
M = 10.47 π‘˜π‘. π‘š < 𝑀 = 47.21 π‘˜π‘. π‘š (π‘œπ‘˜)
8. Moment Capacity of Steel deck
M = Asfsjd
M = 1560.9(124)(0.85)(83.75)
M = 13.78kN.m > M = 10.49 kN.m (ok)
9. Steel area requirement
𝐴𝑠 =
𝑀
𝑓𝑠𝑗𝑑
13.78π‘₯106
𝐴𝑠 =
124(0.85)(83.75)
𝑨𝒔 = πŸπŸ“πŸ”πŸ. πŸŽπŸ– π’Žπ’ŽπŸ
10. Spacing of reinforcing bars using 12 mm Ø
π΄π‘œ =
πœ‹
(12)2
4
𝑨𝒐 = πŸπŸπŸ‘. 𝟏 π’Žπ’ŽπŸ
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
113.1(1000)
1561.08
S = 72.45 mm
Say S = 30 mm
11. Spacing of temperature bars using 10 mm Ø
As = 0.002bt
As = 0.002(950)(110)
As = 209 mm²
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
78.54(1000)
209
S = 375.79 mm
Say S = 150 mm
DESGIN OF SLAB
SLAB 2
LL = 1.9 kPa
Fc’ = 21 MPa
Fy = 248 MPa
Fs = 124 MPa
1. THICKNESS OF SLAB
𝑑=
𝑠
20
𝑑=
2000
= 100 π‘šπ‘š
20
Say 𝒕 = 𝟏𝟏𝟎 π’Žπ’Ž
2. Loads Carried
Wt. of floor finishing = 0.75 kPa
Wt. of concrete = 23.54(0.110)
Wt. of concrete = 2.59 kPa
LL = 3.8 kPa
Total Load = 0.75 + 2.59 + 3.8 = 7.14 kPa < 7.9 kPa
3. Use SD 950 x 1.2
Wt. = 12.109 kg/mm2
A = 1560.9 mm2
Sx = 28.843x103 mm3
Ix = 757x103mm4
Load Capacity = 7.9 kPa
4. Check Load Capacity
Total Load + Wt. of SD = 7.14 + 0.0792
Total Load + Wt. of SD = 7.22 kPa < 7.9 kPa (ok)
5. Location of SD Neutral axis from the bottom
𝐢=
𝐼π‘₯
𝑆π‘₯
𝐢=
57π‘₯103
28.843π‘₯103
π‘ͺ = πŸπŸ”. πŸπŸ“ π’Žπ’Ž
6. Effective Depth
110 – 26.25 = 83.75 mm
7. Moment Capacity Considering (0.95) Strip
𝑀=
πΉπ‘π‘˜π‘—π‘π‘‘ 2
2
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
𝑃𝑛 =
𝑛=
𝑛=
𝐴𝑠𝑛
𝑏𝑑
𝐸𝑠
4730√𝑓𝑐 ′
200000
4730√21
= 9.23
𝑃𝑛 =
𝐴𝑠𝑛
𝑏𝑑
𝑃𝑛 =
1560.9(9.23)
950(83.75)
𝑷𝒏 = 𝟎. πŸπŸ–πŸ
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
π‘˜ = √(0.181)2 + 2(0.181) − 0.181
π’Œ = 𝟎. πŸ’πŸ’πŸ•
𝑗=1−
π‘˜
3
𝑗=1−
0.447
3
𝒋 = 𝟎. πŸ–πŸ“πŸ
𝑀=
0.45(21)(0.447)(0.851)(950)(83.75)2
2
𝑴 = 𝟏𝟏. πŸ—πŸ– π’Œπ‘΅. π’Ž
𝑀=
𝑀𝐿2
8
7.22(2)2
𝑀=
8
M = πŸ‘. πŸ”πŸ. π’Ž < 𝑴 = 𝟏𝟏. πŸ—πŸ– π’Œπ‘΅. π’Ž (π’π’Œ)
8. Moment Capacity of Steel deck
M = Asfsjd
M = 1560.9(124)(0.851)(83.75)
M = 13.79 kN.m > M = 3.61 kN.m (ok)
9. Steel area requirement
𝐴𝑠 =
𝑀
𝑓𝑠𝑗𝑑
3.61π‘₯106
𝐴𝑠 =
124(0.851)(83.75)
𝑨𝒔 = πŸ’πŸŽπŸ–. πŸ’πŸ– π’Žπ’ŽπŸ
10. Spacing of reinforcing bars using 12 mm Ø
π΄π‘œ =
πœ‹
(12)2
4
𝑨𝒐 = πŸπŸπŸ‘. 𝟏 π’Žπ’ŽπŸ
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
113.1(1000)
408.48
S = 276.88 mm
Say S = 125 mm
11. Spacing of temperature bars using 10 mm Ø
As = 0.002bt
As = 0.002(950)(110)
As = 209 mm²
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
78.54(1000)
209
S = 375.79 mm
Say S = 175 mm
DESGIN OF SLAB
SLAB 3-1 Bed room
LL = 1.9 kPa
Fc’ = 21 MPa
Fy = 248 MPa
Fs = 124 MPa
1. THICKNESS OF SLAB
𝑑=
𝑠
20
𝑑=
4000
20
𝒕 = 𝟐𝟎𝟎 π’Žπ’Ž
2. Loads Carried
Wt. of floor finishing = 0.75 kPa
Wt. of concrete = 23.54(0.200)
Wt. of concrete = 4.71 kPa
LL = 1.9 kPa
Total Load = 0.75 + 4.71 + 1.9 = 7.36 kPa < 7.9 kPa
3. Use SD 950 x 1.2
Wt. = 12.109 kg/mm2
A = 1560.9 mm2
Sx = 28.843x103 mm3
Ix = 757x103mm4
Load Capacity = 7.9 kPa
4 Check Load Capacity
Total Load + Wt. of SD = 7.358 + 0.0792
Total Load + Wt. of SD = 7.44 kPa < 7.9 kPa (ok)
5 Location of SD Neutral axis from the bottom
𝐢=
𝐼π‘₯
𝑆π‘₯
𝐢=
757π‘₯103
28.843π‘₯103
π‘ͺ = πŸπŸ”. πŸπŸ“ π’Žπ’Ž
6
Effective Depth
200 – 26.25 = 173.75 mm
7
Moment Capacity Considering (0.95) Strip
𝑀=
πΉπ‘π‘˜π‘—π‘π‘‘ 2
2
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
𝑃𝑛 =
𝑛=
𝑛=
𝐴𝑠𝑛
𝑏𝑑
𝐸𝑠
4730√𝑓𝑐 ′
200000
4730√21
= 9.23
𝑃𝑛 =
𝐴𝑠𝑛
𝑏𝑑
𝑃𝑛 =
1560.9(9.23)
950(173.75)
𝑷𝒏 = 𝟎. πŸŽπŸ–
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
π‘˜ = √(0.08)2 + 2(0.08) − 0.08
π’Œ = 𝟎. πŸ‘πŸ‘
𝑗=1−
π‘˜
3
𝑗=1−
0.33
3
𝒋 = 𝟎. πŸ–πŸ—
𝑀=
0.45(21)(0.33)(0.89)(950)(173.75)2
2
𝑴 = πŸ‘πŸ—. πŸ–πŸŽ π’Œπ‘΅. π’Ž
𝑀=
𝑀𝐿2
8
7.44(4)2
𝑀=
8
M = 14.88 π‘˜π‘. π‘š < 𝑀 = 47.21 π‘˜π‘. π‘š (π‘œπ‘˜)
8
Moment Capacity of Steel deck
M = Asfsjd
M = 1560.9(124)(0.89)(173.75)
M = 30 kN.m > M = 10.49 kN.m (ok)
9
Steel area requirement
𝐴𝑠 =
𝑀
𝑓𝑠𝑗𝑑
30π‘₯106
𝐴𝑠 =
124(0.89)(173.75)
𝑨𝒔 = πŸπŸ“πŸ”πŸ’. πŸ“πŸ‘ π’Žπ’ŽπŸ
10 Spacing of reinforcing bars using 12 mm Ø
π΄π‘œ =
πœ‹
(12)2
4
𝑨𝒐 = πŸπŸπŸ‘. 𝟏 π’Žπ’ŽπŸ
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
113.1(1000)
1564.53
S = 72.29 mm
Say S = 40 mm
11 Spacing of temperature bars using 10 mm Ø
As = 0.002bt
As = 0.002(950)(200)
As = 380 mm²
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
78.54(1000)
380
S = 206 mm
Say S = 100 mm
DESGIN OF SLAB
SLAB 3-2 Bed room
LL = 1.9 kPa
Fc’ = 21 MPa
Fy = 248 MPa
Fs = 124 MPa
1. THICKNESS OF SLAB
𝑑=
𝑠
20
𝑑=
4000
20
𝒕 = 𝟐𝟎𝟎 π’Žπ’Ž
2. Loads Carried
Wt. of floor finishing = 0.75 kPa
Wt. of concrete = 23.54(0.200)
Wt. of concrete = 4.71 kPa
LL = 1.9 kPa
Total Load = 0.75 + 4.71 + 1.9 = 7.36 kPa < 7.9 kPa
3. Use SD 950 x 1.2
Wt. = 12.109 kg/mm2
A = 1560.9 mm2
Sx = 28.843x103 mm3
Ix = 757x103mm4
Load Capacity = 7.9 kPa
4. Check Load Capacity
Total Load + Wt. of SD = 7.358 + 0.0792
Total Load + Wt. of SD = 7.44 kPa < 7.9 kPa (ok)
5. Location of SD Neutral axis from the bottom
𝐼π‘₯
𝑆π‘₯
𝐢=
757π‘₯103
𝐢=
28.843π‘₯103
π‘ͺ = πŸπŸ”. πŸπŸ“ π’Žπ’Ž
6. Effective Depth
200 – 26.25 = 173.75 mm
7. Moment Capacity Considering (0.95) Strip
𝑀=
πΉπ‘π‘˜π‘—π‘π‘‘ 2
2
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
𝑃𝑛 =
𝑛=
𝑛=
𝐴𝑠𝑛
𝑏𝑑
𝐸𝑠
4730√𝑓𝑐 ′
200000
4730√21
= 9.23
𝑃𝑛 =
𝐴𝑠𝑛
𝑏𝑑
𝑃𝑛 =
1560.9(9.23)
950(173.75)
𝑷𝒏 = 𝟎. πŸŽπŸ–
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
π‘˜ = √(0.08)2 + 2(0.08) − 0.08
π’Œ = 𝟎. πŸ‘πŸ‘
𝑗=1−
π‘˜
3
𝑗=1−
0.33
3
𝒋 = 𝟎. πŸ–πŸ—
𝑀=
0.45(21)(0.33)(0.89)(950)(173.75)2
2
𝑴 = πŸ‘πŸ—. πŸ–πŸŽ π’Œπ‘΅. π’Ž
𝑀𝐿2
𝑀=
8
𝑀=
7.44(4)2
8
M = 14.88 π‘˜π‘. π‘š < 𝑀 = 47.21 π‘˜π‘. π‘š (π‘œπ‘˜)
8. Moment Capacity of Steel deck
M = Asfsjd
M = 1560.9(124)(0.89)(173.75)
M = 30 kN.m > M = 10.49 kN.m (ok)
9. Steel area requirement
𝐴𝑠 =
𝑀
𝑓𝑠𝑗𝑑
𝐴𝑠 =
30π‘₯106
124(0.89)(173.75)
𝑨𝒔 = πŸπŸ“πŸ”πŸ’. πŸ“πŸ‘ π’Žπ’ŽπŸ
10. Spacing of reinforcing bars using 12 mm Ø
π΄π‘œ =
πœ‹
(12)2
4
𝑨𝒐 = πŸπŸπŸ‘. 𝟏 π’Žπ’ŽπŸ
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
113.1(1000)
1564.53
S = 72.29 mm
Say S = 40 mm
11. Spacing of temperature bars using 10 mm Ø
As = 0.002bt
As = 0.002(950)(200)
As = 380 mm²
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
78.54(1000)
380
S = 206 mm
Say S = 100 mm
DESGIN OF SLAB
SLAB 4 Bed room
LL = 1.9 kPa
Fc’ = 21 MPa
Fy = 248 MPa
Fs = 124 MPa
1. THICKNESS OF SLAB
𝑑=
𝑠
20
𝑑=
4000
20
𝒕 = 𝟐𝟎𝟎 π’Žπ’Ž
2. Loads Carried
Wt. of floor finishing = 0.75 kPa
Wt. of concrete = 23.54(0.200)
Wt. of concrete = 4.71 kPa
LL = 1.9 kPa
Total Load = 0.75 + 4.71 + 1.9 = 7.36 kPa < 7.9 kPa
3. Use SD 950 x 1.2
Wt. = 12.109 kg/mm2
A = 1560.9 mm2
Sx = 28.843x103 mm3
Ix = 757x103mm4
Load Capacity = 7.9 kPa
4. Check Load Capacity
Total Load + Wt. of SD = 7.36 + 0.0792
Total Load + Wt. of SD = 7.44 kPa < 7.9 kPa (ok)
5. Location of SD Neutral axis from the bottom
𝐢=
𝐼π‘₯
𝑆π‘₯
𝐢=
757π‘₯103
28.843π‘₯103
π‘ͺ = πŸπŸ”. πŸπŸ“ π’Žπ’Ž
6. Effective Depth
200 – 26.25 = 173.75 mm
7. Moment Capacity Considering (0.95) Strip
𝑀=
πΉπ‘π‘˜π‘—π‘π‘‘ 2
2
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
𝑃𝑛 =
𝑛=
𝑛=
𝐴𝑠𝑛
𝑏𝑑
𝐸𝑠
4730√𝑓𝑐 ′
200000
4730√21
= 9.23
𝑃𝑛 =
𝐴𝑠𝑛
𝑏𝑑
𝑃𝑛 =
1560.9(9.23)
950(173.75)
𝑷𝒏 = 𝟎. πŸŽπŸ–
π‘˜ = √𝑃𝑛2 + 2𝑃𝑛 − 𝑃𝑛
π‘˜ = √(0.08)2 + 2(0.08) − 0.08
π’Œ = 𝟎. πŸ‘πŸ‘
𝑗=1−
π‘˜
3
𝑗=1−
0.33
3
𝒋 = 𝟎. πŸ–πŸ—
𝑀=
0.45(21)(0.33)(0.89)(950)(173.75)2
2
𝑴 = πŸ‘πŸ—. πŸ–πŸŽ π’Œπ‘΅. π’Ž
𝑀=
𝑀𝐿2
8
7.44(4)2
𝑀=
8
M = 14.88 π‘˜π‘. π‘š < 𝑀 = 47.21 π‘˜π‘. π‘š (π‘œπ‘˜)
8. Moment Capacity of Steel deck
M = Asfsjd
M = 1560.9(124)(0.89)(173.75)
M = 30 kN.m > M = 10.49 kN.m (ok)
9. Steel area requirement
𝐴𝑠 =
𝑀
𝑓𝑠𝑗𝑑
30π‘₯106
𝐴𝑠 =
124(0.89)(173.75)
𝑨𝒔 = πŸπŸ“πŸ”πŸ’. πŸ“πŸ‘ π’Žπ’ŽπŸ
10. Spacing of reinforcing bars using 12 mm Ø
π΄π‘œ =
πœ‹
(12)2
4
𝑨𝒐 = πŸπŸπŸ‘. 𝟏 π’Žπ’ŽπŸ
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
113.1(1000)
1564.53
S = 72.29 mm
Say S = 40 mm
11. Spacing of temperature bars using 10 mm Ø
As = 0.002bt
As = 0.002(950)(200)
As = 380 mm²
𝑆=
π΄π‘œ (1000)
𝐴𝑠
𝑆=
78.54(1000)
380
S = 206 mm
Say S = 100 mm
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