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Steel structure design (structural and detail drawings)

Steel Column Base: Base Plate, Anchors and Plate Thickness to DBN V.2.6-198

A steel column base is a base plate and anchor bolts: the plate spreads the column pressure over the foundation concrete, and the anchors tie it to the foundation. Following DBN V.2.6-198:2014, this covers plate size and thickness, moments on plate panels, an example for an I-beam No. 30, anchors, holes and what goes into the KMD. The base is designed by the project designer; the example numbers are conditional.

Column base parts and force transfer

A column base is a plate welded to the bottom of the column plus anchor bolts in the foundation. Bracket plates and cantilever ribs, where present, pass the force from the column to the projecting parts of the plate.

DBN V.2.6-198:2014 (cl. 11.1) names two ways of passing the design force to the plate:

  • through the milled end of the column, which bears on the planed surface of the plate (bases with a milled end);
  • through welds (bases with bracket plates and cantilever ribs).

With a milled end the design compression force is taken as passing entirely through the ends (cl. 17.13.1). A base with a milled end is used only for centrally compressed columns: there must be no moment in the post. The bearing resistance of a fitted end is Rp from Table G.4.

Plan size of the plate

The plan size of the plate follows from the strength of the foundation concrete (cl. 11.1): the pressure under the plate must not exceed the design resistance of the concrete to local compression under the standards for concrete and reinforced concrete structures. The concrete class and foundation size come from the foundation design; the forces the column passes at plate level are in Foundation for a column, mast or pole.

When a moment acts, the pressure is not uniform, and each panel is calculated with the average pressure under it (Annex M). The overhangs must hold the welds, anchors and nuts with washers, and a longer overhang calls for a thicker plate.

Plate thickness: formula (11.1)

The thickness of the plate is found from the bending strength condition (cl. 11.2, formula 11.1):

t ≥ √( 6 · Mmax · γn / ( Ry · γc ) )

Mmax is the largest of the moments on the plate’s panels, so the plate is first divided into panels and each moment is found. The other quantities are in the table.

SymbolMeaningWhere the value comes from
MmaxLargest bending moment on the plate panels, N·mm/mmThe moments of the panels by formulas M.1 and M.2 are compared
γnReliability factor for the importance of the structureDBN V.1.2-14 (cl. 5.4.1 of DBN V.2.6-198)
γcCoefficient of working conditions of the base plateTable 5.1, item 9 (steel with yield strength up to 390 N/mm², static load): 1.20 up to 40 mm; 1.15 over 40 up to 60 mm; 1.10 over 60 up to 80 mm
RyDesign strength of the plate steel, N/mm²Table G.2: depends on the steel class and the plate thickness
qReactive pressure of the foundation under a panel, N/mm²Force divided by plate area; under a panel it is taken as uniform and equal to the average
αpSupport coefficient of the panelTable M.2: depends on the support scheme and the ratio ap / bp

Bending moments on the plate panels

The column, bracket plates and ribs divide the plate into panels. For a cantilever panel (the overhang beyond a flange or rib) formula M.1 applies, where c is the cantilever overhang:

M = 0.5 · q · c²

For a panel supported on two mutually perpendicular sides, or on three or four sides, formula M.2 applies:

M = αp · q · bp²

αp is taken from Table M.2 by the support scheme shown there and the ratio ap / bp; ap and bp are clear dimensions (note 1). For a panel on three sides with ap / bp below 0.35 the moment is found as for a cantilever of length ap, and between 0.35 and 0.5 by linear interpolation (note 2).

Adjacent panels that relieve the plate may be taken into account. Since c and bp enter the moments squared, a long overhang without a rib quickly raises the thickness needed.

Example: a plate for an I-beam No. 30 and N = 600 kN

The column of I-beam No. 30 is checked in the article on steel column design. The data are the same: I-beam No. 30 (height 300 mm, flange width 135 mm), N = 600 kN, γn = 1.05. The plate is taken as 400 × 400 mm of C345 steel, static load, uniform pressure; the concrete is not checked.

StepCalculationResult
Pressure under the plate q600·10³ / (400 · 400)3.75 N/mm²
Cantilever overhang beyond the flange c(400 − 135) / 2132.5 mm
Cantilever moment by M.10.5 · 3.75 · 132.5²32,918 N·mm/mm
γc and γnγc from Table 5.1, item 9, plate up to 40 mm; γn as in the column example1.20 and 1.05
RyTable G.2, class C345, plate over 20 up to 40 mm300 N/mm²
Thickness by (11.1)√( 6 · 32,918 · 1.05 / ( 300 · 1.20 ) )t ≥ 24.0 mm; take a 25 mm plate

What the example shows

Ry depends on thickness, so 300 N/mm² (over 20 up to 40 mm) is checked once the plate is chosen: for 25 mm it holds. A 20 mm plate fails: with Ry = 315 N/mm² it would need 23.4 mm.

Only the cantilever panel is checked. The panel between the flanges, on three sides, goes by M.2 with αp from Table M.2; the largest moment governs, so 24.0 mm is a lower bound.

The plate size affects the thickness: at 350 × 350 mm (q = 4.90 N/mm², c = 107.5 mm) t ≥ 22.3 mm, at 500 × 500 mm (q = 2.40 N/mm², c = 182.5 mm) t ≥ 26.4 mm. A larger plate lowers the pressure on the concrete but needs a thicker plate or ribs.

Anchors, holes in the plate and grouting

Anchor bolts are checked for the tension from the moment and axial force; their design tension resistance is in cl. 7.7 and Table D.6 of DBN V.2.6-198. Diameter, steel, length and anchorage come from the foundation design: DBN V.2.1-10 says nothing about anchor assemblies. See also Anchor bolts for poles and masts and Metric thread of anchor and erection bolts.

The holes in the plate are made with clearance that covers the deviations of the anchors, and large-diameter washers are sometimes placed between the nut and the plate (DSTU EN 1090-2:2019, cl. 11.2.3.3). Tolerances on anchor position are in the article on erection tolerances.

The plate is levelled on levelling nuts; they may be left in place unless the specification says otherwise (cl. 9.5.4). The grout material and thickness under a column plate are set by the project.

What to put in the KMD and in the enquiry

The fabricator sees the base only as it is drawn. The KMD and the enquiry should carry:

WhatHow to write it
Plate, bracket plates and ribsPlate plan size, thickness, steel; number, thickness, height and position of bracket plates and ribs
End and plate surfaceMilled end and planed plate surface, or force transfer through welds; the fitting requirement
WeldsType and leg size of the welds of the plate to the column, bracket plates and ribs; the force they are designed for
Anchor holesDiameter, position, washers (ordinary or enlarged), method of making
Anchor boltsDiameter, length, strength class, threaded length, nuts and lock nuts from the foundation design; thread tolerance field
Levelling and groutingLevelling nuts (present or not, left or removed), gap under the plate, grout material
CoatingHot-dip galvanizing, painting or none; protection of the end and the anchor threads

Common mistakes

  • calculating only the cantilever and not checking the panels on three and four sides: Mmax is the largest of all the moments;
  • using Ry for a thin plate and then fitting a thicker one: by Table G.2 the design strength falls as thickness grows;
  • using a milled-end base for a column with a moment: such bases are for centrally compressed columns only;
  • leaving a column on anchor bolts alone, without guys: the standard forbids relying on them only against overturning unless this has been checked (DSTU EN 1090-2:2019, cl. 9.6.5.1).

Standards and validity

  • DBN V.2.6-198:2014 «Steel structures. Design standards» with Amendment No. 1: Section 11, cl. 7.7, cl. 17.13.1, Tables 5.1, G.2, G.4 and D.6, Annex M;
  • DBN V.2.1-10:2018 «Foundations of buildings and structures. Basic provisions»: foundation size and concrete class;
  • DSTU EN 1090-2:2019 «Execution of steel structures and aluminium structures. Part 2. Technical requirements for steel structures» (cl. 9.5.4, 9.6.5.1, 11.2.3.3);
  • DBN V.1.2-14:2018 «General principles of reliability and structural safety of buildings and structures» (factor γn).

The clauses, formulas and values from DBN V.2.6-198 are read from the 2014 edition of the text; before citing them in a project, check them against the current version with Amendment No. 1. The numbers in the example are illustrative.

Updated:

Frequently asked questions about column bases and base plates

How do I calculate the thickness of a column base plate?

By formula (11.1) of DBN V.2.6-198:2014: t ≥ √( 6 · Mmax · γn / ( Ry · γc ) ). The plate is divided into panels and the moment of each is found: a cantilever panel by M = 0.5·q·c², a panel supported on two, three or four sides by M = αp·q·bp². The largest moment is Mmax.

Which γc should I use for a base plate?

Table 5.1, item 9: for plates of steel with yield strength up to 390 N/mm² under static load, 1.20 up to 40 mm, 1.15 over 40 up to 60 mm and 1.10 over 60 up to 80 mm. For columns of public buildings and of industrial buildings with overhead cranes these coefficients are applied together with items 2 and 3.

How does a base with a milled end differ from a base with bracket plates?

In the first, the column end bears on the planed surface of the plate and compression passes through the ends. In the second, welds pass the force to the bracket plates and cantilever ribs (cl. 11.1). A base with a milled end is used only for centrally compressed columns, with no moment in the post.

Are ribs and bracket plates under a base plate needed?

It depends on the calculation. The cantilever moment grows with the square of the overhang: in the example a 400 × 400 mm plate needs at least 24.0 mm and a 500 × 500 mm plate 26.4 mm. Ribs divide the plate into smaller panels, and the largest moment governs the thickness.

Do you erect columns and grout the plates on site?

No, erection is done by a licensed partner construction company. We prepare KM and KMD drawings and make columns with base plates. For an enquiry, send a sketch of the base, the plate-level loads and the anchor layout from the foundation design.

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