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Sample Computation For Roof Beam

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ROOF FLOOR BEAM (B5) 0.

00057
DF 12=DF 16,15= =0.4444
FROM GRIDLINES 1-16 ALONG GRIDLINE G 0.000712+0.00057

Beam size = 300mm × 450mm 0.00057


DF 21=DF 23= =0.3077
Weight of the beam = 0.30m × 0.45m × 23.5kN/m3 = 3.17 kN/m 0.000712+0.00057+ 0.00057
0.000712
FACTORED LOAD: WUD = 1.2WDL DF 33 ' =DF 22 ' = =0.3846
WUD1 = 1.2 (weight of the beam) 0.000712+0.00057+ 0.00057
WUD1 = 1.2 (3.17) = 3.804 kN/m 0.00057
WUD1 = WUD2 = WUD3 = WUD4 = WUD5 = WUD6 = WUD7 = WUD8 = WUD9 = WUD10 = WUD11 = DF 34=DF 32= =0.3077
0.000712+0.00057+ 0.00057
WUD12 = WUD13 = WUD14 =DL15 = WUD16 = 3.804 kN/m
0.00057
DF 43= DF 45= =0.3077
k FOR BEAMS/GIRDERS (k=I/L): 0.000712+ 0.00057+0.00057
At L = 4.00 m; k = (.300)(.450)3/12/4 = 0.00057m3
0.000712
At L = 2 m; k = (.300)(.450)3/12/2 = 0.001139m3 DF 44 ' =DF 99' = =0.3846
0.000712+0.00057+ 0.00057
At L = 6 m; k = (.300)(.450)3/12/6 = 0.00038m3 0.00057
DF 54=DF 67= =0.2353
0.000712+ 0.00057+0.001139
At L = 3 m; k = (.300)(.450)3/12/3 = 0.000759m3
0.001139
k FOR COLUMNS (k=I/L): DF 56=DF 65= =0.4706
0.000712+0.00057+ 0.001139
At L = 3.2 m; k = (.300)(.450)3/12/3.2 = 0.000712m3
0.000712
DISTRIBUTION FACTORS:(Note: DF for fixed end is zero) DF 55 ' =DF 66 ' = =0.2941
0.000712+ 0.00057+0.001139
k of member 0.00057
DF = DF 76=DF 89= =0.3429
Ʃ of k at the joint 0.000712+0.00038+ 0.00057
0.000712 0.00038
DF 11' =DF 16' = =0.5556 DF 78=DF 87= =0.2286
0.000712+0.00057 0.000712+ 0.00038+ 0.00057
0.000712
DF 77 ' =DF 88 ' = =0.4286
0.000712+ 0.00057+0.00038
0.00057
DF 98=DF 9,10= =0.3077
0.000712+ 0.00057+0.00057
0.00057 FIXED END MOMENTS:
DF 10,9=DF 11,12= =0.2791
0.000712+0.00057+0.000759 WL2
FEM =±
0.000712 12
DF 10 ' =DF 11' = =0.3488
0.000712+0.00057+ 0.000759
FEM 12=FEM 23=FEM 34=FEM 45=FEM 67=FEM 89=FEM 910 =FEM 1012=FEM 1314=FEM 1415=
0.000759
DF 10,11 =DF 11,10 = =0.3721
0.000712+0.00057+ 0.000759
0.00057 FEM 21=FEM 32=FEM 43=FEM 54=FEM 76=FEM 98=FEM 109=FEM 1210=FEM 1413 =FEM 1514 =
DF 12,11 =DF 13,14= =0.2791
0.000712+0.00057+0.000759
−3.804 (2)2
0.000712 FEM 56= =−1.268 kNm
DF 12 ' =DF 13 ' = =0.3488 12
0.000712+0.00057+ 0.000759
3.804( 2)2
0.000759 FEM 65= =1.268 kNm
DF 12,13=DF 13,12= =0.3721 12
0.000712+0.00057+ 0.000759
0.00057 −3.804 (6)2
DF 14,13=DF 14,15= =0.3077 FEM 78= =−11.412 kNm
0.000712+0.00057+ 0.00057 12

0.000712 3.804 (6)2


DF 14 ' =DF 15 ' = =0.2239 FEM 87= =11.412 kNm
0.000712+ 0.00057+0.00057 12

0.00057 −3.804 (3)2


DF 15,14=DF 15,16= =0.3077 FEM 1011=FEM 1213= =−2.853 kNm
0.000712+ 0.00057+0.00057 12
3.804(3)2
FEM 1110 =FEM 1312 = =2.853 kN
12

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