Solved Problems

A W10x49 steel column (Fy=50F_y = 50 ksi) is supported by a concrete footing (fc=3f'_c = 3 ksi) with dimensions 4 ft×4 ft4 \text{ ft} \times 4 \text{ ft}. The column carries an LRFD factored axial load Pu=300 kipsP_u = 300 \text{ kips}. Determine the required dimensions (B×NB \times N) for an A36 steel base plate, assuming the plate covers the entire concrete footing (A1=A2A_1 = A_2).

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Case Studies

Case Study 1: Large Base Plate Leveling

A contractor is setting a massive W14x311 column on a concrete foundation for a heavy industrial facility.
Scenario: The concrete foundation is rarely perfectly level, and the heavy base plate (which is 3 inches thick) must be set to an exact elevation.
Solution: For large, heavy columns, it is impractical to manually shim the base plate perfectly level. Instead, the design utilizes leveling nuts.
The anchor rods are cast into the concrete. A "leveling nut" and washer are threaded onto each rod before the column is set down. The contractor uses a transit to adjust these lower nuts until they are all perfectly level at the correct elevation. The column and base plate are then lowered onto these nuts, and the top nuts are tightened down. Finally, high-strength, non-shrink grout is pumped into the gap between the concrete and the bottom of the base plate to provide continuous bearing.

Case Study 2: Resisting High Base Shear

A rigid frame building is designed to resist extreme lateral wind loads. The column bases must transfer significant shear force into the foundation.
Scenario: The calculated lateral shear force at the base of the column exceeds the combined shear capacity of the anchor rods and the friction between the base plate and the grout.
Solution: The anchor rods will fail in shear, or the concrete will fail in breakout, if relied upon alone.
The engineer specifies a shear lug. A shear lug is a heavy steel plate (or a piece of a structural shape like a WT) welded perpendicularly to the bottom of the base plate. A corresponding pocket or blockout is left in the concrete foundation. When the column is set and the pocket is grouted, the lateral shear force is transferred directly through bearing of the heavy shear lug against the solid concrete, safely bypassing the anchor rods.

Additional Solved Problems

Determine the required LRFD nominal tensile strength (PnP_n) of an anchor rod. The factored uplift force on the column is Tu=120 kipsT_u = 120 \text{ kips}. There are 4 anchor rods in the base plate layout, and the load is distributed equally among them. Assume the threads are included in the shear plane (though this is pure tension).

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A fully welded moment connection is used to connect a W18x50 beam to a W14x90 column flange. The factored bending moment at the connection is Mu=240 kip-ftM_u = 240 \text{ kip-ft}. The depth of the beam is d=18.0 ind = 18.0 \text{ in}. To simplify the design of the flange welds, assume that the entire bending moment is resisted by a force couple acting at the centroid of the beam flanges. Calculate the required factored force (PufP_{uf}) that the top flange weld must resist in tension.

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