Sample C1 column design line spreadsheets will be introduced in this section.
Düşey olarak çakışan kolonların aynı isimle anıldığı ve tasarımının yapıldığı kısımdır.
Figure 1
Tributary analysis results of C1 column design line are available in tributary forces spreadsheet.
Click “Spreadsheet Data” then click “Tributary Forces” as shown in Figure 1.
Tributary analysis results are reported per load class and load combination.
Load Classes and load cases used in numerical example are as follows;
Figure 1
Figure 2
Load Take Down Calculations
Cumulative tributary forces of C1 column design line is shown in Figure 3.
Figure 3
Tributary area of C1 column at 2-3-Roof floor and is equal to 95.83 sq ft as shown in Figure 4.
Figure 4
Tributary area of C1 column at 1st floor and is equal to 95.83 sq ft as shown in Figure 5.
Figure 5
Self Weight
Slab dead load at each floor is calculated by simply multiplying the thickness of the slab and tributary area of the slab and unit weight of slab material. Since the tributary areas at each floor is the same, only one floor calculation is shown as an example.
→ (8/12)*95.83*150/1000=9.583 kips
Column dead load at each floor is also calculated by simply multiplying the section area of column and height of the column and unit weight column material. Since the column section and floor height at each floor is the same, only one column dead load calculation is shown as an example.
→ (24*14/144)*10*150=3.5 kips
Self weight is the cumulative sum of slab dead load and column dead load.
→ 9.58+3.5 =13.08 kips
→ 13.08+(13.08+3.5)= 26.17 kips
→ 26.17 + (13.08+3.5)= 39.25 kips
→ 39.25 + (13.08+3.5)= 52.33 kips
Superimposed Dead Load
Superimposed Dead Load is grouped as “SDL” in Load Classes section. So all the load cases which are classified as “Superimposed Dead Load” within the boundaries of tributary area of C1 will be included to calculation. Notice that results are reported cumulatively.
Figure 6
Figure 7
The loadings of Roof which are classified as Superimposed DL (LG2, LG3) are shown in Figure 6 and Figure 7.
Figure 8
Figure 9
The loadings of 3rd Floor which are classified as Superimposed DL (LG2, LG3) are shown in Figure 8 and Figure 9.
Figure 10
Figure 11
Figure 12
The loadings of 2nd Floor which are classified as Superimposed DL (LG1, LG3,LG4) are shown in Figure 10 Figure 11 and Figure 12.
Figure 13
Figure 14
The loadings of 1st Floor which are classified as Superimposed DL (LG1, LG3) are shown in Figure 13 Figure and 14.
The cumulative tributary forces of Superimposed DL is calculated as follows;
→Roof tributary force = 0.4*11.5+95.83*15/1000 =6.04 kips
Figure 15
→ 3rd floor tributary force = 6.04+0.3*11.5+95.83*15/1000=10.93 kips
→ 2nd floor tributary force = 10.93+0.3*11.5+95.83*15/1000+10*(21.055/82.08)=18.38 kips
Figure 16
Figure 17
→ 1st floor tributary force = 18.38 + 0.3*11.5+95.77*15/1000=23.27 kips
General LL
General LL is grouped as “L” in Load Classes section. So all the load cases which are classified as “General LL” within the boundaries of tributary area of C1 will be included to calculation. Notice that results are reported cumulatively.
Figure 18
Figure 19
Figure 20
Only 2nd floor has loadings classified as “General LL” as shown in Figures 18-19-20. But LG6 will not be considered in calculations because loading region has no intersection with the tributary area of C1 as illustrated in Figure 21.
Figure 21
→ Roof tributary force = 0
→ 3rd floor tributary force = 0
→ 2nd floor tributar force = 72.915*40/1000+23.001*100/1000=5.22 kips
→ 1st floor tributary force = 5.22 + 0 = 5.22 kips
Loadings which are grouped as “L” are permitted to be reduced.
→ Live load factor at roof = 1.0 ( There is no force)
→ Live load factor at 3rd floor = 1.0 ( There is no force)
→ Live load factor at 2nd floor = (100 - 0.08*(3*95.83-150))/100=0.89
→ Live load factor at 1st floor = (100 - 0.08*(3*95.83+95.77-150))/100=0.81
Modified tributary forces;
→ Roof =1.0*0=0
→ 3rd floor =1.0*0=0
→ 2nd floor =0.89*5.22=4.65 kips
→ 1st floor = 0.81* 5.22 =4.23 kips
Heavy LL
Heavy LL is grouped as “L_Heavy” in Load Classes section. So all the load cases which are classified as “Heavy LL” within the boundaries of tributary area of C1 will be included to calculation. Notice that results are reported cumulatively.
Figure 22
Only 3rd floor has loadings classified as “Heavy LL” as shown in Figures 22.
→ Roof tributary force = 0
→ 3rd floor tributary force = 95.83*150/1000=14.37 kips
→ 2nd floor tributar force = 14.37+ 0= 14.37 kips
→ 1st floor tributary force = 14.37 +0 = 14.37 kips
Loadings which are grouped as “L_heavy” are permitted to be reduced.
→ Live load factor at roof = 1.0 ( There is no force)
→ Live load factor at 3rd floor = 0.8
→ Live load factor at 2nd floor = 0.8
→ Live load factor at 1st floor = 0.8
Modified tributary forces;
→ Roof =1.0*0=0
→ 3rd floor =14.37*0.8 = 11.45 kips
→ 2nd floor =14.37*0.8 = 11.45 kips
→ 1st floor = 14.37*0.8 = 11.45 kips
Assembly/GroupA LL
Assembly/GroupA LL is grouped as “L_AssemblyGroupA” in Load Classes section. So all the load cases which are classified as “Assembly/GroupA LL” within the boundaries of tributary area of C1 will be included to calculation. Notice that results are reported cumulatively.
Figure 23
Only roof has loadings classified as “Assembly/GroupA LL” as shown in Figures 23.
→ Roof tributary force = 95.83*100/1000=9.58 kips
→ 3rd floor tributary force =9.58 +0 = 9.58 kips
→ 2nd floor tributar force = 9.58 +0 = 9.58 kips
→ 1st floor tributary force = 9.58 +0 = 9.58 kips
Loadings which are grouped as “L_AsemblyGroupA” are not permitted to be reduced.
→ Live load factor at roof = 1.0
→ Live load factor at 3rd floor = 1.0
→ Live load factor at 2nd floor =1.0
→ Live load factor at 1st floor = 1.0
Modified tributary forces;
→ Roof =1.0*9.58=9.58 kips
→ 3rd floor =1.0*9.58=9.58 kips
→ 2nd floor =1.0*9.58=9.58 kips
→ 1st floor = 1.0*9.58=9.58 kips
PassengerVehicleGarages LL
PassengerVehicleGarages LL is grouped as “L_PassengerVehicleGarages” in Load Classes section. So all the load cases which are classified as “PassengerVehicleGarages LL” within the boundaries of tributary area of C1 will be included to calculation. Notice that results are reported cumulatively.
Figure 24
Only roof has loadings classified as “PassengerVehicleGarages LL” as shown in Figures 24.
→ Roof tributary force = 0
→ 3rd floor tributary force =0
→ 2nd floor tributar force = 0
→ 1st floor tributary force = 95.77*40/1000= 3.83 kips
Loadings which are grouped as “L_AsemblyGroupA” are not permitted to be reduced.
→ Live load factor at roof = 1.0 ( There is no force)
→ Live load factor at 3rd floor = 1.0 ( There is no force)
→ Live load factor at 2nd floor =1.0 ( There is no force)
→ Live load factor at 1st floor = min(0.8 ,100- 0.08*(3*95.83+95.77-150)/100)=0.81
Modified tributary forces;
→ Roof =1.0*0=0
→ 3rd floor =1.0*0=0
→ 2nd floor =1.0*0=0
→ 1st floor = 0.81*3.83 = 3.1 kips
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