1. A 16-in square concrete column carries a vertical unfactored load of 250 k. The vertical service load is 210 k. It is to be supported on a square footing with f'c = 3,000 lb/in² and fy = 60 k/in². The soil has an allowable bearing pressure of 6 500 lb/ft² for bearing capacity (based on ASD methods) and 4,100 lb/ft² for settlement. The groundwater table is at a great depth. Because of frost heave considerations, the bottom of this footing must be at least 30 inches below the ground surface. 1.A. Determine the required footing width after checking both the allowable bearing stress and serviceability (settlement) limit state. 1.B. Calculate the factored column normal force, considering that 50% of the column unfactored load is DL and the remaining load is LL. 1.C. Calculate the footing thickness after checking both the two-way and one-way shears. 1.D. Calculate the factored moment at the critical section. 1.E. Find the required steel area of the footing. 1.F. Compute the reinforcement ratio and check the minimum required steel. 1.G. Select the number and diameter of steel rebars and check the minimum steel if the steel grade is 60. 1.H. Check the ductility. 1. I. Check the spacing between rebars. 1.J. Check the development length. 1.K. 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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1. A 16-in square concrete column carries a vertical unfactored load of 250 k. The vertical
service load is 210 k. It is to be supported on a square footing with f'c = 3,000 lb/in² and fy =
60 k/in². The soil has an allowable bearing pressure of 6 500 lb/ft² for bearing capacity
(based on ASD methods) and 4,100 lb/ft² for settlement. The groundwater table is at a
great depth. Because of frost heave considerations, the bottom of this footing must be at
least 30 inches below the ground surface.
1.A. Determine the required footing width after checking both the allowable bearing stress and
serviceability (settlement) limit state.
1.B. Calculate the factored column normal force, considering that 50% of the column unfactored
load is DL and the remaining load is LL.
1.C. Calculate the footing thickness after checking both the two-way and one-way shears.
1.D. Calculate the factored moment at the critical section.
1.E. Find the required steel area of the footing.
1.F. Compute the reinforcement ratio and check the minimum required steel.
1.G. Select the number and diameter of steel rebars and check the minimum steel if the steel
grade is 60.
1.H. Check the ductility.
1. I. Check the spacing between rebars.
1.J. Check the development length.
1.K. Develop a sketch showing details of reinforcement in both directions.
Transcribed Image Text:1. A 16-in square concrete column carries a vertical unfactored load of 250 k. The vertical service load is 210 k. It is to be supported on a square footing with f'c = 3,000 lb/in² and fy = 60 k/in². The soil has an allowable bearing pressure of 6 500 lb/ft² for bearing capacity (based on ASD methods) and 4,100 lb/ft² for settlement. The groundwater table is at a great depth. Because of frost heave considerations, the bottom of this footing must be at least 30 inches below the ground surface. 1.A. Determine the required footing width after checking both the allowable bearing stress and serviceability (settlement) limit state. 1.B. Calculate the factored column normal force, considering that 50% of the column unfactored load is DL and the remaining load is LL. 1.C. Calculate the footing thickness after checking both the two-way and one-way shears. 1.D. Calculate the factored moment at the critical section. 1.E. Find the required steel area of the footing. 1.F. Compute the reinforcement ratio and check the minimum required steel. 1.G. Select the number and diameter of steel rebars and check the minimum steel if the steel grade is 60. 1.H. Check the ductility. 1. I. Check the spacing between rebars. 1.J. Check the development length. 1.K. Develop a sketch showing details of reinforcement in both directions.
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