3. A W16×50 steel column with a 22-inch square base plate is to be supported on a square spread footing. This column has factored the ultimate vertical column load of 320 k. The vertical service load is 250 k. The footing will be made of concrete with f' = 2,500 lb/in² and reinforcing steel with fy = 60 k/in². The soil has an allowable bearing pressure for bearing capacity of 5,200 lb/ft² (based on LRFD methods) and allowable bearing stress for settlement of 3,400 lb/ft². The groundwater table is at a great depth.   3.A. Determine the required footing width after checking both the allowable bearing stress and serviceability (settlement) limit state.   3.B. Calculate the footing thickness after checking both the two-way and one-way shears.   3.C. Calculate the factored moment at the critical section.   3.D. Find the required steel area of the footing.   3.E. Compute the reinforcement ratio and check the minimum required steel.   3.F. Select the number and diameter of steel rebars and check the minimum steel.   3.G. Check the ductility.   3.H. Check the spacing between rebars.   3.1. Check the development length.   3.J. Develop a sketch showing details of reinforcement in both directions.

Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter11: Load And Resistance Factor Design (lrfd)
Section: Chapter Questions
Problem 11.3P: Repeat Problem 11.1 based on LRFD using the following factors: load factor for dead load = 1.25 load...
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3. A W16×50 steel column with a 22-inch square base plate is to be supported on a square spread footing. This column has factored the ultimate vertical column load of 320 k. The vertical service load is 250 k. The footing will be made of concrete with f' = 2,500 lb/in² and reinforcing steel with fy = 60 k/in². The soil has an allowable bearing pressure for bearing capacity of 5,200 lb/ft² (based on LRFD methods) and allowable bearing stress for settlement of 3,400 lb/ft². The groundwater table is at a great depth.

 

3.A. Determine the required footing width after checking both the allowable bearing stress and serviceability (settlement) limit state.

 

3.B. Calculate the footing thickness after checking both the two-way and one-way shears.

 

3.C. Calculate the factored moment at the critical section.

 

3.D. Find the required steel area of the footing.

 

3.E. Compute the reinforcement ratio and check the minimum required steel.

 

3.F. Select the number and diameter of steel rebars and check the minimum steel.

 

3.G. Check the ductility.

 

3.H. Check the spacing between rebars.

 

3.1. Check the development length.

 

3.J. Develop a sketch showing details of reinforcement in both directions.

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