## Steel Design Examples, AISC 13th Edition

**Example 2 - Checking angle in tension with given service loads using LRFD and ASD**

An angle L3 1/2 x 3 1/2 x 3/8 in tension is connected to a gusset plate with 7/8" diameter bolts as shown in the figure below. The service loads are 30 kips dead load and 10 kips live load. Check if this member is acceptable based on AISC Specification.

A) Use LRFD

B) Use ASD

Steel Type: A36 Steel

Assume effective net area is 85% of computed net area.

Code used: AISC Steel Construction Manual 13th Edition

**Example 3 - Calculate the design strength (LRFD) and allowable strength (ASD) for double angle in tension**

A double angle shape is shown in the figure below.

Steel type: A36 Steel

Bolt Diameter: 3/8" diameter

Assume Ae = 0.75An

A) Compute the design tensile strength per LRFD

B) Compute the allowable strength per ASD

Code used: AISC Steel Construction Manual 13th Edition

**Example 10 - Calculate the minimum required rod size for a threaded rod in tension**

Determine the required rod size of a threaded rod that is to be used as a bracing member. It must resist a tensile dead load of 5 kips and a tensile live load of 10 kips.

Material = A36

Use LRFD and ASD

Code used: AISC Steel Construction Manual 13th Edition

**Example 11 - Calculate the minimum required rod size for a pipe support made using a threaded bent rod**

An 8" diameter standard pipe full of water is supported at 10 ft intervals by a threaded bent rod as shown in the figure below. Determine the required rod size per LRFD and ASD if the rod material is A36 steel.

Code used: AISC Steel Construction Manual 13th Edition

**Example 12 - Designing threaded rod tension braces for a pinned structure subjected to horizontal wind loading**

A horizontal wind load of 10 kips acts on the pin-connected structure shown below. Member AC and BD are used to brace against the wind load and are assumed to only act in tension and do not take any compression. Choose threaded rods for both of these members using LRFD if the steel material is A36.

Code used: AISC Steel Construction Manual 13th Edition

**Example 13 - Calculate the minimum required rod size for a threaded rod in tension**

For member AB in the figure below, determine the required threaded rod size if the material is A36 steel. The load at joint B is a service live load and the weight of member CB can be considered negligible.

Code used: AISC Steel Construction Manual 13th Edition

Compression Members

**Example 1 - Calculating the stability of steel column pinned at both ends and subjected to an axial compressive load**

A W12 x 50 is used as a column to support an axial compressive load of 200 kips. The length is 22', and the ends are pinned. Investigate the member for stability without regard to load or resistance factors.

Code used: AISC Steel Construction Manual 13th Edition

**Example 3 - Checking local stability for a wide flange column under compression**

Check the column for local stability

Column is W14 x 82, A992 steel

Code used: AISC Steel Construction Manual 13th Edition

**Example 4 - Calculating the local buckling compressive strength of a slender HSS section using LRFD and ASD**

Compute the axial compressive strength of an HSS 8 x 4 x 1/8 having effective length of 16' w/ respect to each principal axis.

Fy = 46 ksi

Code used: AISC Steel Construction Manual 13th Edition

**Example 6 - Designing a steel column based on given dead and live loads, effective length, and yield stress**

A compression member experiences service loads of 150 kips dead load and 550 kips live load. The length of the member is 28 feet and is pinned at each end.

Assuming A992 steel, select a W14 shape.

Code used: AISC Steel Construction Manual 13th Edition

Flexural Beam Members

**Example 1 - Calculating the elastic section modulus, Sx, and plastic section modulus, Zx, for a plate girder bent about its strong axis**

For the plate girder shown below, calculate the:

Elastic section modulus S and the yield moment My

Plastic section modulus Z and the plastic moment Mp

Bending is about the strong axis

Material: A572 Grade 50

Code used: AISC Steel Construction Manual 13th Edition

**Example 3 - Analyzing a beam supporting a concrete slab and subjected to dead and live loads per LRFD and ASD**

A W16 x 57 of A992 steel is 32' feet long and supports a reinforced concrete floor slab. The service dead load is 500 lb/ft (weight of beam not included) and the service live load is 600 lb/ft. Check if this beam is adequate per LRFD and ASD.

Code used: AISC Steel Construction Manual 13th Edition

**Example 5 - Analyzing a non-compact beam undergoing elastic lateral torsional buckling per LRFD and ASD**

A W14 x 99 simply supported beam with a span length of 50' is laterally supported at its ends and experiences the following loads:

DL = 500 lbs/ft

LL = 1000 lbs/ft

Fy = 50 ksi

Is the beam adequate for the given conditions per LRFD and ASD.

Code used: AISC Steel Construction Manual 13th Edition

Beam-Column Members

**Example 1 - Determining which AISC Specification interaction equation is applicable for a given beam column and checking adequacy**

The W10x49 beam column shown below is pinned at both ends and experiences the given dead and live loads. Bending is about the strong axis. Determine which AISC Specification interaction equation is applicable and if it is satisfactory per LRFD and ASD. Material is A992 steel

Code used: AISC Steel Construction Manual 13th Edition

**Example 2 - Analysis of steel beam column subjected to service loads using LRFD and ASD**

The W12x65 beam-column member shown in the figure is a part of a braced system. It is subjected to the given axial and bending loads, and bending is about the strong axis. Check if this member is adequate if the material is A572 Grade 50 steel using LRFD and ASD. KxL = KyL = 14'

Code used: AISC Steel Construction Manual 13th Edition

**Example 3 - Analysis of steel beam column subjected to service loads using LRFD and ASD**

The W8X35 horizontal beam-column member shown in the figure below is laterally braced at its ends. It is subjected to the given live axial and transverse loads, and bending is about the x-axis. Check if this member is adequate if the material is A992 steel using LRFD and ASD.

Code used: AISC Steel Construction Manual 13th Edition

Simple Welded Connections

**Example 1 - Calculating the strength of a longitudinal fillet weld connection**

A flat tension bar member is connected to a gusset plate using (2) 1/4" longitudinal fillet welds made with E70XX electrodes. Both the tension member and gusset plate are of A36 steel. Calculate the available strength of the welded connection assuming that the tensile strength of the member is satisfactory per ASD and LRFD.

Code used: AISC Steel Construction Manual 13th Edition

Simple Bolted Connections

**Example 1 - Checking bolt spacing, edge distances, and bearing for a bolted connection**

Confirm bolt spacing, edge distances, and bearing for the connection are adequate

Code used: AISC Steel Construction Manual 13th Edition

**Example 4 - Calculating the strength of a non-slip bolted connection in tension per LRFD and ASD**

Example 4 - Calculating the strength of a non-slip bolted connection in tension per LRFD and ASD

Beam Bearing and Column Base Plate

**Example 1 - Design of a beam bearing plate**

A W21 x 68 beam has a span length of 16 feet (center to center of supports) and is supported on reinforced concrete walls with f'c = 4 ksi. The dead load is 5 kips/ft including beam weight and live load is 5 kips/ft. Design a bearing plate to distribute the reaction at the supports using LRFD and ASD. The yield strength of the beam is 50 ksi and the yield strength of the plate is 36 ksi.

Code used: AISC Steel Construction Manual 13th Edition

**Example 1 - Design of a column base plate**

A W10 x 49 column is supported by a concrete pier whose top surface is 19 inches x 19 inches. Design a base plate given that the column dead load is 100 kips and live load is 150 kips. Base plate material is A36 steel and concrete compressive strength is 3 ksi.

Code used: AISC Steel Construction Manual 13th Edition

Plate Girder

**Example 1 - Analysis of a steel plate girder using the AISC steel design c****ode**

Check the adequacy of the plate girder shown below given the following information using LRFD approach:

Uniform Service Dead Load (including self-weight) - 0.5 kip/ft

Uniform Service Live Load - 1.5 kip/ft

Concentrated Service Dead Load - 5 kips

Concentrated Service Live Load - 15 kips

Compression flange laterally supported and restrained against rotation at supports and at points of concentrated loading

Bearing stiffeners located at supports and at points of concentrated loading

Bearing stiffeners clipped 1" at inside edge on top an bottom to clear flange to web welds

No intermediate stiffeners

A36 steel material is used for all components

Assume all welds are adequate

Check:

- Flexural Strength
- Shear Strength
- Bearing Stiffeners

Code used: AISC Steel Construction Manual 13th Edition