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Slab base for SC 300, 1200 kN

Short answer

Bearing strength9 MPa. Base plate400×400 mm. Thickness from bending12 mm, but flange thickness16 mm, so provide16 mm.4 M20 anchor bolts.,6 mm weld.

Design slab base for a column SC300 carrying factored axial load of 1200KN if concrete grade used is M20.

Assumption: the dimensions of "SC 300" are not in the section tables used here, so the column is taken as a stocky column section of overall size h=300h=300 mm, bf=300b_f=300 mm and flange thickness tf≈16t_f\approx16 mm (similar to a heavy column section); only hh, bfb_f and tft_f matter here. Factored axial load P=1200P=1200 kN, pedestal M20, steel E250 (fy=250f_y=250).

1. Bearing strength of concrete (IS 800:2007 cl. 7.4.1)

0.45fck=0.45×20=9.000.45f_{ck}=0.45\times20=9.00 N/mm²

2. Plate size

Areq=P0.45fck=1200×1039.00=133333 mm2A_{req}=\frac{P}{0.45f_{ck}}=\frac{1200\times10^3}{9.00}=133333\ \text{mm}^2

Projection of about 50 mm all round the column (not less than 50 mm): L=300+2×50=400L=300+2\times50=400 mm, B=300+2×50=400B=300+2\times50=400 mm. Area provided =160000=160000 mm² >Areq>A_{req} ✓

w=PBL=1200×103400×400=7.50 N/mm2<9.00 N/mm2w=\frac{P}{BL}=\frac{1200\times10^3}{400\times400}=7.50\ \text{N/mm}^2<9.00\ \text{N/mm}^2

3. Thickness (cl. 7.4.3.1)

Projections a=50a=50 mm and b=50b=50 mm (larger and smaller):

ts=2.5w(a2−0.3b2)γm0fy=2.5×7.50×(502−0.3×502)×1.10250=12.02 mmt_s=\sqrt{\frac{2.5w(a^2-0.3b^2)\gamma_{m0}}{f_y}}=\sqrt{\frac{2.5\times7.50\times(50^2-0.3\times50^2)\times1.10}{250}}=12.02\ \text{mm}

It must also be not less than the flange thickness tf=16t_f=16 mm. Provide ts=16t_s=16 mm.

4. Connections

  • The column end is machined to bear on the plate; connect with a nominal 6 mm fillet weld all round (load is transferred mainly by contact).
  • Anchor bolts: 4 nos. M20, embedded about 450 mm with a washer plate (for erection and to resist any uplift).

Answer: base plate 400 × 400 × 16 mm, 4 anchor bolts M20, 6 mm weld, pedestal of M20 concrete.

✓ Answer checked by Claude Opus 5.5 (high effort)

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