I. Input: 1.loads
I. Input: 1.loads
I. Input: 1.loads
2. Material
Decking B=1000-hr=50 mm
Thickness t= 0.75 mm
Geomertry properties Ix = 4.66E+05 mm4
Sx = 1.82E+04 mm3
Yielding strength Fy = 235 MPa
Elastic modulus Es = 200000 MPa
Concrete strength B25
Compression strength f' c = 20 MPa
Elastic modulus Ec = 21020 MPa
𝑘 𝐸 /𝐹 = 67.48
ℎ /𝑡 = 74.27
ℎ = 55.70 mm
𝐹 = 0.13 kN/mm²
𝜇= 0.30
𝐴 = 250.65 mm2
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :2
CHECK DECKING
*Checking capacity
𝑉
= 0.09 ≤ 1.00 OK
𝑉 .𝜙
fv = 0.95
3. Deflection :
*Checking deflection
𝑙
f= 0.19 mm ≤ min , 19𝑚𝑚 = 8.07 mm OK
180
𝑐 0.003 ℎ − 𝑑
= =
𝑑 𝐹 0.575
𝐸 + 0.003 𝑑
dd = 50 mm
h= 150 mm
𝑐 𝑐
*Conclusion : 𝑑 < 𝑑 UNDER-REINFORCED
2.Flexural Capacity :
Flexural Capacity at support 𝑀
= 0.31 ≤ 1.00 OK
𝑀
Maximum moment
𝑞𝑙 (Multi-span)
𝑀 = = 2.05 kNm
11
q = (1.6F c + 1.4F L )b + 1.2q d + 1.2q al = 10.69 kN/m
l= 1.453 m
Flexural Capacity
𝑀 =𝑀 , .𝜙 = 6.53 kNm
f= 0.85
𝑀 .𝜙 = 21.64 kNm
𝑁 = 𝐹 /𝑄 = 1.68
𝐴
𝐹 =𝐹 𝐴 − 2−𝐴 = 110 kN
2
A web = 251 mm
2
A bf = 320 mm
𝑄 = 0.5𝐴 𝑓′ 𝐸 = 65.2 kN
2
A sa = 201 mm
Mnu ; Ns Nsu
M
n
M
no M nu - M no Ns / Nsu ; Ns Nsu
25.46 kNm
Ns = 2
𝐹𝐼
𝑀 = (ℎ − 𝑦 ) = 20 kNm
𝑦 =𝑑 2𝜌𝑛 + 𝜌𝑛 − 𝜌𝑛 = 38.71 mm
𝐴
𝜌= = 0.007
𝑑𝑏
𝐸
𝑛= = 9.51
𝐸
𝑏
𝐼 = 𝑦 +𝐴 𝑦 +𝐼 = 9.29E+06 mm4
3𝑛
𝑦 =𝑑−𝑦 = 86.29 mm
𝐼 =𝐼 = 4.66E+05 mm4
*Flexural Capacity
𝑀 .𝜙 = 21.64 kNm
f= 0.85
OVER-REINFORCED
Nominal Flexural Strength
𝜌𝑚 𝜌𝑚
𝑐=𝑑 𝜌𝑚 + − = 49.36 mm
2 2
𝐴
𝜌= = 0.007
𝑑𝑏
𝐸𝜀
𝑚= = 35.29
𝑓′ 𝛽
𝜀 =
0.003
fc = 0.65
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :2
CHECK DECKING
fs = 0.85
𝐹𝐼
𝑀 = (ℎ − 𝑦 ) = 20 kNm
𝑦 =𝑑 2𝜌𝑛 + 𝜌𝑛 − 𝜌𝑛 = 38.71 mm
𝐴
𝜌= = 0.007
𝑑𝑏
𝐸
𝑛= = 9.51
𝐸
𝑏
𝐼 = 𝑦 +𝐴 𝑦 +𝐼 = 9.29E+06 mm4
3𝑛
𝑦 =𝑑−𝑦 = 86.29 mm
𝐼 =𝐼 = 4.66E+05 mm4
*Flexural Capacity
𝑀 = 16.68 kNm
𝑉 𝜙 = min 𝑉 𝜙 + 𝑉 𝜙 ; 0.332 𝑓′ 𝐴 𝜙 = 81 kN
fv = 0.75
fs = 0.85
𝑉 =𝑉 = 32.11 kN
𝑉 = 0.166𝜆 𝑓′ 𝐴 = 71.68 kN
𝜆= 1.0
Concrete area available to resist shear
𝐴 = 96551 mm2
a= 24.5 mm
b= 73.64 mm
c= 71.00 mm
g= 0 mm
*Checking Capacity
𝑉
= 0.10 ≤ 1.00 OK
𝑉 .𝜙
PROJECT CODE : 719002
Calculation Sheet for DOCUMENT NO. : CAL-1-004-C-0001
Dryer Offgas Cleaning System
DATE : 30/08/2023
- Main Structure
REV :2
CHECK DECKING
4. Deflection :
Deflection by Live Load
5𝐹 𝑏𝑙
𝛿 , = = 0.07 mm
384𝐸 𝐼
𝐼 +𝐼
𝐼 = = 1.70E+07 mm4
2
𝑏ℎ 𝑏ℎ
𝐼 = + 𝑦 − 0.5ℎ +𝐼 +𝐴 𝑦
12𝑛 𝑛
𝑊 𝑏𝑑 𝑑 2.46E+07 mm4
+ + ℎ − 𝑦 − 0.5𝑑 =
𝑛𝐶 12
0.5𝑏ℎ + 𝑛𝐴 𝑑 + 𝑊 𝑑 ℎ − 0.5𝑑 𝑏
𝐶
𝑦 = = 68.84 mm
𝑏ℎ + 𝑛𝐴 + 𝑊 𝑑 𝑏 𝐶
ℎ = 100 mm
𝑊 = 166 mm
𝐶 = 334 mm
𝑦 =𝑑−𝑦 = 56.16 mm
Deflection by Dead Load + Live Load
5𝑞𝑙
𝛿 , = = 0.18 mm
384𝐸 𝐼
*Checking Deflection
𝑙
𝛿 , ≤ = 4.04 mm OK
360
𝑙
𝛿 , ≤ = 6.05 mm OK
240