STATIX Free calculators
Learn › Steel Design 1 › Lesson 7
Course · lesson 7 of 7

Column base plates

Where the steel meets the concrete. This lesson designs a column base: the concrete in bearing, the plate thickness, the holding-down bolts and the anchors in the concrete, shear transfer and moment bases, with SANS 10162-1 clause 25 and the STATIX base plate calculator.

1. Learning outcomes

After this lesson you can:

  • find the bearing strength of grouted concrete under a base plate, and how a pedestal raises it;
  • find the effective bearing area of a plate of given thickness and check a pinned base;
  • check a moment base: the bolt tension, the concrete compression and the plate between them;
  • check holding-down bolts to SANS 10162-1 clause 25 and name the anchor failure modes in concrete;
  • check a base in the STATIX base plate calculator.

2. Before you start

3. The column base

columnbase plategroutconcrete pedestal or footingholding-down bolt
A column base: the column is welded to a steel plate, which sits on a grout layer on the concrete and is held down by cast-in bolts. A pinned base carries N and V; a moment base also carries M, which pulls on the bolts on one side and presses the concrete on the other.

4. Concrete in bearing

plateAc1pedestalbearing strength:fjd = βj kj fcdβj = 2/3 (grout)fcd = αcc fck / 1.5kj = √(Ac1 / Ac0) ≤ 3STATIX: kj = 1 unless yougive the pedestal's size
Concrete in bearing. Concrete loaded on a small area of a bigger block is stronger, because the block around it confines it: kj grows with the concrete area Ac1 that can spread the load (limited by the overhang and the depth). With no size given, STATIX takes kj = 1. SANS 10162-1 has no rule of its own here; the page uses EN 1993-1-8 6.2.5 and says so.
fck = 0.8 fcu (the SANS page asks for the cube strength) fcd = αcc fck / 1.5 (αcc = 1.0, or 0.85 by choice on the page) fjd = βj kj fcd, βj = 2/3, kj = 1 unless the pedestal is given

5. The plate: bearing width and thickness

cthe plate spreads theload a width c beyondevery face of thecolumn: an H shapeNj,Rd = fjd × Aeff
The effective bearing area. Only the plate close to the column is stiff enough to press on the grout: a strip of width c around each flange and the web. Their area times fjd is the base's resistance to compression.
cfjda strip of plate as a cantilever:fjd c²/2 = fy t²/6 (elastic)c = t √(fy / (3 fjd γM0))a thicker plate reaches further
Where c comes from. The plate beyond the column face is a cantilever loaded by the bearing pressure. c is the length it can carry without yielding (EN 1993-1-8 6.2.5(4)), so the plate thickness sets the bearing area.
t ≤ 16355 MPa16 < t ≤ 40345 MPa40 < t ≤ 63335 MPa63 < t ≤ 80325 MPa80 < t ≤ 100315 MPaS355: fy by thickness (EN 10025-2), used by STATIX
Thick plate is weaker. Steel is rolled to its grade's yield strength only up to 16 mm; a thicker plate gets less. STATIX takes the plate's fy from its own thickness, and the column's from its flange.
c = t √(fy / (3 fjd γM0)) (fy for the plate's own thickness) pinned base: Nj,Rd = fjd × (two flange strips + the web strip between them)

6. Moment bases

TCMz
A moment base. The moment and the axial force are carried by a pull T in the holding-down bolts on one side and a push C on the concrete under the other flange, a lever arm z apart. The base fails at the weaker side: the bolts and plate in tension, or the concrete in compression.
mode 1plate yields(thin plate)mode 2plate + bolts(prying)mode 3bolts break(thick plate)
The tension side as a T-stub (EN 1993-1-8 6.2.4; SANS has no rule here). A thin plate bends and yields; a thicker one bends while the bolts pull (with prying where the bolts are short); a thick one stays flat and the bolts break. STATIX checks all three and the column web.

7. Holding-down bolts and anchors

hefholding-down bolt (SANS 25.2.2.1):Tr = 0.67 An fuAn at the thread roottension + shear (25.2.4):V/Vr + T/Tr ≤ 1.4a plate washer under thenut stops pull-out
The holding-down bolt. SANS 10162-1 clause 25 gives its tension resistance on the net area at the thread root, and an interaction with shear. The head, a nut or a plate washer, must be big enough to bear on the concrete without pulling through.
steelconepull-outsplitting
How an anchor fails in the concrete (EN 1992-4; SANS 25.2.2.2 refers to SANS 10100-1, so STATIX uses EN 1992-4 and labels it). The steel breaks, a cone of concrete pulls out, the head pulls through, or the concrete splits near an edge. Shear has its own modes: steel, pryout and the edge.

8. Shear

Vfriction 0.20 Nboltsshear lug1 friction (needs compression)2 the bolts in shear and bearing
Shear transfer. Friction under the plate carries some shear while the column is in compression (STATIX takes 0.20 N: SANS allows friction but gives no coefficient). The rest goes into the holding-down bolts, or into a shear lug welded under the plate, which the page can add.

9. In STATIX

columnand plateboltssize, class, hefconcretefcu, pedestalN, M, Vthe rows
The STATIX base plate calculator: column and plate, the bolts, the concrete (cube strength fcu on SANS; a pedestal or a free edge if there is one), then N, M and V. Each row names its clause: SANS where SANS has a rule, EN where it does not.

The page offers two routes: SANS 10162-1 clause 25 (the default) and EN 1993-1-8 with EN 1992-4. SANS covers the bolts, their shear and tension, bearing at the bolts and the welds; for the concrete bearing, the plate bending and the anchors in concrete SANS sends you elsewhere, so the page uses the EN rules and labels each row.

10. Example A: a pinned base under axial load

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

11. Example B: a moment base with bolt tension

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

12. Do it in STATIX

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

13. Common mistakes

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

14. Exercises

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

15. Self-check quiz

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

16. Lesson 7 on one page

The worked parts open with a university or college email, a student licence (statix.engineering/university/), a calculator pack or a paid plan. Sign in to open them.

You have finished Steel Design 1Seven lessons from tension members to column bases. Go back over any lesson, or use the calculators on your own projects.
Back to the course

A worked example for learning, not a design. Check every value against the current code and your own project, and have the design checked and signed by a registered professional engineer.

Early access

Be first to use STATIX 3D and STATIX 2D.

Leave your email and we will tell you when each part is ready for testing. One confirmation now, one message then. A short monthly update only if you tick the box.