comp col_c9 at grid 3 _bot_b2 lower

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Page 1: Comp Col_C9 at Grid 3 _bot_B2 Lower

Stress and Strain Table in different loading condition Conclusion codes:

Ec = 30000 N/mm21 can be loaded further till stress or strain reach the allowable limit

Case 1 : Temporary loading condition Es = 205000 N/mm22 Can not be loaded further

For concrete inside the column

Axial LoadNu

Major axis

moment Mx

Minor axis

moment My

Squash LoadPu

Stress due to Nu(N/mm2)

Stress due to Mx(N/mm2)

Stress due to My(N/mm2)

Total Max stress(N/mm2)

Total Max strain

allowable stress(N/mm2)

allowable strain(N/mm2) C

oncl

usio

n Stress due to Nu(N/mm2)

Stress due to Mx(N/mm2)

Stress due to My(N/mm2)

Total Max stress(N/mm2)

allowable stress(N/mm2)

Total Max strain

allowable strain(N/mm2) C

oncl

usio

n

Axial 33135 0 0 57508.2 88.59 0 0 88.59 0.00043 345 0.00168 1 12.96 0 0 12.96 17.87 0.00043 0.0035 1

Axial+Major axis moment 33135 1621 0 57508.2 88.59 5.01 0 93.60 0.00046 345 0.00168 1 12.96 5.01 0 13.70 17.87 0.00046 0.0035 1

Axial+Minor axis moment 33135 0 1621 57508.2 88.59 0 5.71 94.30 0.00046 345 0.00168 1 12.96 0 5.71 13.80 17.87 0.00046 0.0035 1

Axial+Biaxial Moment 33135 4000 4000 57508.2 88.59 5.01 5.71 99.31 0.00048 345 0.00168 1 12.96 5.01 5.71 14.53 17.87 0.00048 0.0035 1

Thus in the worst case the remaining stress capacity of concrete = 17.87-14.53 = 3.33 N/mm2

additional vertical load capacity = = 1877.28 kN

or additional moment capacity = = 499.52 kNm

Similarly for steel rectangular column

the remaining stress capacity of steel sec = 345-99.31 = 245.69 N/mm2

additional vertical load capacity = = 33610.2 kN

or additional moment capacity = = 2258.19 kNm

Thus it clear from the above table and subsequent calculation of the remaining capacity in the concrete and steel portion of the composite plunge columns that the plunge column can be further loaded

as required in permanent condition.

Loading Combination

Loading For rectangular steel column

Page 2: Comp Col_C9 at Grid 3 _bot_B2 Lower

Stress and Strain Table in different loading condition Conclusion codes:

Ec = 30000 N/mm21 can be loaded further till stress or strain reach the allowable limit

Case 1 : Temporary loading condition Es = 205000 N/mm22 Can not be loaded further

Case 2 : Permanent loading condition

For concrete inside the column

AdditionalAxial Load

Nu (kN)

Major axis

moment Mx

Minor axis

moment My

Squash LoadPu

Stress due to Nu

Stress due to Mx

Stress due to My

Total Max stress

Total Max strain

allowable stress(N/mm2)

allowable strain(N/mm2) C

oncl

usio

n Stress due to Nu(N/mm2)

Stress due to Mx(N/mm2)

Stress due to My(N/mm2)

Total Max stress(N/mm2)

allowable stress(N/mm2)

Total Max strain

allowable strain(N/mm2) C

oncl

usio

n

Axial 41088 0 0 117760 56.00 0 0 56.00 0.00027 345 0.00168 1 7.65 0 0 7.65 17.87 0.00025 0.0035 1

Axial+Major axis moment 41088 4000 117760 56.00 0.18 0 56.18 0.00027 345 0.00168 1 7.65 0.02 0 7.7 17.87 0.00026 0.0035 1

Axial+Minor axis moment 41088 0 4000 117760 56.00 0 0.26 56.26 0.00027 345 0.00168 1 7.65 0 0.03 7.68 17.87 0.00026 0.0035 1

Axial+Biaxial Moment 41088 4000 4000 117760 56.00 0.18 0.26 56.44 0.00028 345 0.00168 1 7.65 0.02 0.03 7.70 17.87 0.00026 0.0035 1

Case 3 : Permanent loading condition case 1+case 2

For concrete inside the column

AdditionalAxial Load

Nu (kN)

Major axis

moment Mx

Minor axis

moment My

Squash LoadPu

Stress due to Nu

Stress due to Mx

Stress due to My

Total Max stress

Total Max strain

allowable stress(N/mm2)

allowable strain(N/mm2) C

oncl

usio

n Stress due to Nu(N/mm2)

Stress due to Mx(N/mm2)

Stress due to My(N/mm2)

Total Max stress(N/mm2)

allowable stress(N/mm2)

Total Max strain

allowable strain(N/mm2) C

oncl

usio

n

Axial 74223 0 0 117760 144.59 0 0 144.59 0.00071 345 0.00168 1 20.613 0 0 20.613 17.87 0.00069 0.0035 1

Axial+Major axis moment 74223 5621 0 117760 144.59 5.18916 0 149.78 0.00073 345 0.00168 1 20.613 5.03 0 21.378 17.87 0.00071 0.0035 1

Axial+Minor axis moment 74223 0 5621 117760 144.59 0 5.97 150.56 0.00073 345 0.00168 1 20.613 0 5.74 21.480 17.87 0.00072 0.0035 1

Axial+Biaxial Moment 74223 8000 8000 117760 144.59 5.18916 5.97 155.75 0.00076 345 0.00168 1 20.613 5.03 5.74 22.237 17.87 0.00074 0.0035 1

Thus it clear referring the above table that even after the further loading of the temporary column with the permanent loading and with the concrete encasing around it, the final stress and starin in the steel

rectangular steel column and the conrete filled in it are less than the aloowable limit.

Hence the design is satisfactory.

Loading Combination

Loading For rectangular steel column

Loading Combination

Loading For rectangular steel column