Project:

Project No.:

Date:

Subject:

Steel Beam with Web Penetration

G.F. Shea

Opening Not Reinforced

Page:

This worksheet determines the Allowable Moment and Shear for a known steel beam size with a given web opening.

Cells requiring data input are highlighted in yellow.

Source:

AISC Steel Design Guide 2, Steel and Composite Beams with Web Openings; 1990

Validation:

Example 1, Steel Beam with Unreinforced Opening, from Source document

Member Data:

Beam Size:

depth:

flange width:

bf =

flange thickness:

tf =

web thickness:

tw =

Plastic Section Modulus:

Zx =

Yield Stress:

Fy =

Hole Parameters:

Rectangular Hole:

Circular Hole:

Height (in):

Diameter (in):

D =

Length (in):

Rectangular openings are required to have radiused corners

Note:

The Design Guide treats circular holes

Radius =

as equivalent rectangular holes

ho =

ao =

ao/ho =

po =

Location of Opening:

h2 =

Centerline of opening from bottom of beam (in):

st =

sb =

vt =

vb =

Openings must be located so that the edge of the opening is not closer than distance d to the beam end

Openings must be located so that the edge of an opening is not closer than distance d to a point load

Proportioning and Detailing Guidelines, Table 4.5:

Beam Dimensions and Limits on Vm:

Width to thickness ratio of flanges:

Opening Dimensions:

ratio1 =

ao/ho_max =

Limit1 =

ho_max =

Width to thickness ratio of web:

po_max =

ratio2 =

Tee Dimensions:

Limit2A =

st_min =

Limit2B =

sb_min =

Determine Maximum Moment Capacity (Mm):

Mp =

k-ft

k-in

∆As =

Mm =

k-ft

φb =

φMm =

k-ft

k-in

Determine Maximum Shear Capacity:

Vp =

Vpb =

αvb =

Vmb =

Vpt =

In the table below the input values for Points 1 through 6 are taken from table 4.6 of the Reference Document.

αvt =

The Min and Max values were obtained using the worksheet BEMANL, which can be found on the XLC Repository.

Vmt =

φVn, φMn and R are calculated using the formulas shown on the adjacent page.

Vm =

Closest location to beam end based on minimum end clearance

Vm_max =

φv =

Farthest distance from left based on R ≤1.00

φVm =

Interpretation of Table 4.6, Allowable Locations for Openings, Example 1

Determine Moment-Shear Interaction:

Distance from left support to centerline of opening

Mu =

k-ft

Vu =

(Note that the shear value is actually 0, but this gives a division by 0 error)

∅Vn =

∅Mn =

k-ft

From the table above it can be seen that the centerline of the opening can be placed between a point

2.83 feet from the support and a point 14.5 feet from the support.

Note: If R > 1.0, reinforcement must be added or the opening needs to be moved. See following Tab.

See table on adjacent page for determination of allowable opening locations.