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Cumulative tributary forces of C1 column design line is shown in Figure 3.
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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.
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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.
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Figure 18
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Figure 19
3rd floor has loadings classified as “General LL” as shown in Figures 18-19.
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Figure 1820
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Figure 1921
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Figure 2022
Only 2nd floor has loadings classified as “General LL” as shown in Figures 1820-1921-2022. But LG6 will not be considered in calculations because loading region has no intersection with the tributary area of C1 as illustrated in Figure 2123.
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Figure 2123
→ Roof tributary force = 0
→ 3rd floor tributary force = 047.892*40/1000=1.92kips
→ 2nd floor tributar force =1.92+ 72.915*40/1000+23.001*100/1000=57.22 14 kips
→ 1st floor tributary force = 57.22 14 + 0 = 57.22 14 kips
Loadings which are grouped as “L” are permitted to be reduced.
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→ Live load factor at 3rd floor = 1.0 ( There is no forceAt = 47.892 < 150)
→ Live load factor at 2nd floor = (100 - 0.08*(3*95.83-150))/100=0.891.0 (At =143.72 < 150)
→ Live load factor at 1st floor = (100 - 0.08*(3*47.892+95.83+95.77-150))/100=0.8193
Modified tributary forces;
→ Roof =1.0*0=0
→ 3rd floor =1.0*0=01.92=1.92 kips
→ 2nd floor =1.0.89*57.2214=47.65 14 kips
→ 1st floor = 0.8193* 54.22 17 =46.23 64 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.
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Figure 24
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Figure 2225
Only 3rd floor has loadings classified as “Heavy LL” as shown in Figures 2224-25.
→ Roof tributary force = 0
→ 3rd floor tributary force = 9547.83941*150/1000=147.37 19 kips
→ 2nd floor tributar force = 147.3719+ 0= 147.37 19 kips
→ 1st floor tributary force = 147.37 19 +0 = 147.37 19 kips
Loadings which are grouped as “L_heavy” are permitted to be reduced.
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→ Roof =1.0*0=0
→ 3rd floor =147.3719*0.8 = 115.45 75 kips
→ 2nd floor =147.3719*0.8 = 115.45 75 kips
→ 1st floor = 147.3719*0.8 = 115.45 75 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.
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Figure 2326
Only roof has loadings classified as “Assembly/GroupA LL” as shown in Figures 2326.
→ Roof tributary force = 95.83*100/1000=9.58 kips
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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.
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Figure 2427
Only roof has loadings classified as “PassengerVehicleGarages LL” as shown in Figures 2427.
→ Roof tributary force = 0
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→ Live load factor at 1st floor = min(0.8 ,100- 0.08*(3*1.0 ( At=95.83 +95.77-150)/100)=0.81< 150)
Modified tributary forces;
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→ 2nd floor =1.0*0=0
→ 1st floor = 1.0.81*3.83 = 3.1 83 kips