# How to Design a Steel Beam

*by Tom Kujawa*

## Introduction

Designing a steel beam is not as complicated as you may think. There are essentially 6 Steps to design most steel beams:

- Material - Choose the appropriate grade of steel for the beam you will be designing.
- Shape - Select the shape of steel beam you would like to design.
- Span - Enter the distance you are trying to span.
- Bracing - Not to be overlooked! Bracing is critical in determining the capacity of a beam.
- Load - Enter loads base on their type and load case.
- Design - In the United States, there are two common methods of beam design (ASD and LRFD). Select the method you would like to use and specify deflection limits.

In the WebStructural Beam Design Module we've given each of these steps an icon to allow you to efficiently work through the design process:

## 1. Material

There are many different grades of steel, but usually one common grade for each shape type. The most commonly used type of Steel I-Beam is the W (wide flange) Shape. W Shapes are usually made from Grade A992 steel. For our example, we will be designing a W Shape steel I Beam, so we select A992 from the Material List.

## 2. Shape

There are many types of steel shapes, even numerous types of I beams. For our example, select a W8X15. This beam is roughly 8" deep (or tall), that is the first number following the x. This beam weighs 15 lbs. That is the second number in the shape name. Typically, the lighter the beam, the less it will cost, so to design the most cost effective beam, you will want to choose one that weighs the least but meets you design criteria. After we enter all the design criteria, we can change the shape if it is not the right size for our design.

## 3. Span

Span is the distance between points of support for a beam.
A beam is often just a single span and supported at both end, but a single beam
can also be supported at more than just both ends. It can be supported along
it's length or it can cantilever beyond it's end support. To add or edit span
length in WebStructural, simply click the **Span** button or the span dimension
and add a span to the left or right, then adjust the length as appropriate. For
our example, add a span to the right and make it 4'-0". Adjust the first span
to equal 12'-0".

Span supports can also be easily changed in WebStructural. Simply by clicking on a support. You can toggle through Pinned, Fixed, and Free Supports. For our example, change the right most support to Free to create a cantilever.

## 4. Bracing

Bracing is an incredibly important, yet often overlooked aspect of beam design.
When a member is bent, tension and compression
forces are introduced. For a simple span beam (one spanning between two pinned
supports), the top of the beam will be in compression. It is these
compression forces that can cause a beam to buckled out-of-plane. To understand
buckling, think of compressing a short ruler between your hands. Now think of
compressing 3' long ruler. Which one will flex and buckle?
Clearly the longer, more slender one. It is this slenderness that is directly
related to buckling. If we are able to brace a beam against this type of
buckling, then we can often achieve greater bending strength. **WebStructural**
allows you to specify bracings in many different common configurations. Span
supports are automatically assumed to be bracing locations. Remember,
continuous bracing assumes that the compression side of the beam is braced. If
you have a continuous beam, look at your moment diagram in the report to verify
that this is truly the case. You can always conservatively assume the beam in completely
unbraced.

## 5. Loads

### Load Cases

A beam can carry loads from many different sources. Below is a list of some of the more common types of Load Cases:

**Dead loads (D)** are those which are always present.
Think of a concrete slab, or the weight of a wall. Those loads are always present
and do not change.

**Live Loads (L)** are typically occupancy type loads. You
are a type of Live Load in the structure you are in right now. American
Society of Civil Engineers publishes a book (ASCE 7) with guidance for the
amount of live load that should be used for different structures.

**Roof Live Loads (Lr)** are similar to Live Loads, but are
specific to the roof and are typically related to construction or maintenance
activities.

**Snow Loads (S) **are exactly want they sound like, loads
cause by snow. Local building codes often dictate the appropriate ground or
design snow loads to use. These are typically basic loads. Drift and
unbalanced conditions should be accounted for as needed.

**Other Loads** are less common in beam design but can include
Wind (W), Seimic or Earthquake (E), Rain (R), Lateral Earth (H), etc.

### Load Types

Beams can be loaded in many ways, but most loadings that cause flexure can be described as either:

**Uniform Loads**: These loads have units of force per unit length.
With WebStructural, the default units for Uniform Loads is kips per foot (1 kip = 1000 lbs.).
Uniform loads are often used to simplify repetitive and closely spaced point
loads such as floor joists or roof rafters. To calculate the appropriate
uniform load to apply to a beam, simply multiply the beams tributary area by
the appropriate area load. Area loads and other structural loads are
established by the American Society of Civil Engineers ASCE7 document and are
given as pounds per square foot (psf).

**Linear Loads**: Linear Loads are very similar to uniform
loads, but rather than having a constant magnitude, vary along their length.
Linear Loads also have units of force per length. Linear loads can be used to
represent triangular snow drifts or beams with joists framing in at a skewed
angle, or many other triangular and trapezoidal type loading.

**Point Loads**: Point loads have units of force. The default in
WebStructural is Kips (1 kip = 1000 lbs.). Point loads can be as
simple as a reaction from another member such as a beam framing into another
beam, or a column sitting on a beam.

**Moments**: Moments are loads which cause rotation in the
axis of a beam and have units of force times length. The default in WebStructural
is kip-feet. Moments are more complex to those less familiar with them,
but consider a column welded to the top of a steel beam. If a force is applied to top of
the column, it will cause the beam it is attached to bend
as well, just like a lever. This bending type reaction is a moment. If the
force is in the direction of the beam axis (or span direction), it can be input
as a moment in WebStructural. If the force applied is perpendicular to the
beam axis, then a torsional moment will be introduced. WebStructural does not
currently allow for torsional loads to be input.

For our example lets use a dead load of 25 psf and a live
load of 100 psf. Let's say the next point of support from our beam is a wall 10'
away on one side, and another beam 20' away on the other. We will enter a
uniform dead load **D = .625 k/ft **= [25 psf x (10'/2 + 20'/2)]/1000lb/k
and also enter live load **L = 1.5 k/ft** [100psf x (20'/2 +
30'/2)]/1000lb/k. Also make sure to include self weight.

### Load Factors

Depending on which design method you choose, (see below) the loads you enter will be factored appropriately. Simply enter the service (unfactored) loads.

## 6. Design

### Design Method (ASD or LRFD)

Structural steel can either be designed by Load and Resistance Factor Design (LRFD) and Allowable Stress Design (ASD). Both methods yield similar results. Engineers have their opinions about the pros and cons of each method, but both are currently allowed in the United States. Simply choose the method you would like to use.

### Design Equations

WebStructural will automatically factor your loads and apply them in the appropriate design equations. You can view these equation and exclude ones you don't want to include in analysis if you wish.

### Deflection

Deflection is an important measure of beam performance. Beams that have excessive deflection can be strong enough to carry their design loads, but perform poorly in service. Excessive deflections can lead to user complaint including bouncy floors, cracked building finishes, instability for mechanical equipment, etc. The International Building Code (IBC) dictates the minimum deflection for various members and load types. Deflections are typically described as a ratio or L (span) over some value to allow for comparison and standardization. Example: The deflection ratio for 0.5" delection in a 12' beam equals L/288 = 12ftx12in/ft (span) 0.5" (deflection). Now consider a beam that deflects 0.75" and is 18' long. It has an equivalent deflection ratio or L/288. In theory, these beams have the same deflection performance even though the longer span beam has a greater deflection. That is because the deflection is less noticeable over the greater distance. L/100 is often considered to be near the limit of deflection that is detectable to the human eye. L/360 is usually considered a minimum accepatlbe deflection due to live loads on floors, but that is just a minimum.

## Reporting

Once you have input all of your criteria, all you have to do it click "Design This Beam". WebStructural will perform a finite element analysis for your specific beam span, support and loading conditions. It will determine the design forces and calculate the design capacities of the beam using the American Institute of Steel Construction (AISC) standards. If you originally selected an appropriate beam size, you will see a lot of green and bending, shear, and deflection capacity ratios will be less than 1.0. These values are a percentage of capacity. So if your report reads "Bending 0.79" the beam configuration you selected is at 79% of flexural capacity (according to AISC).

If your report is red, then your capacity ratios are greater than 1.0 and the beam does not meet the design criteria. This means you need a bigger beam! Simply choose a different shape and click "Design This Beam".

At WebStructural we strive to give you high quality design calculations with transparent reports that you can rely on. If you found this how-to useful please share it with your colleagues.

Finally, we encourage you to keep checking back for updates, and let us know if you have any suggestions or requests.

Happy Engineering,

The WebStructural Team