Answered: A column load of 72 kips is applied to…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A column load of 72 kips is applied to the 6 ft by 8 ft rectangular concrete footing shown below.
The groundwater table is 2 ft deep. The soil profile and properties are shown below.

The required minimum factor of safety against bearing capacity failure is 2.5. Is the current
foundation design acceptable? Use Vesic’s bearing capacity formula

1a. Intermediate calculation: compute the ultimate bearing capacity, qult, in units of psf.
1b. Intermediate calculation: compute the applied bearing pressure, q, in units of psf.
1c. Final calculation: compute the factor of safety (FS) against bearing capacity failure.

Transcribed Image Text:The diagram illustrates a foundation system placed on soil with a load application. Here’s a detailed breakdown: **Foundation Loading:** - A vertical load (P) of 72 kips is applied on the foundation. **Soil Profile:** The soil is divided into two main layers: 1. **Top Soil Layer (SW):** - Thickness: 2 feet - Unit Weight (γ): 118 pcf (pounds per cubic foot) 2. **Main Soil Layer (CH):** - Thickness: 18 feet - Undrained Shear Strength (Sᵤ): 665 psf (pounds per square foot) - Friction Angle (φ): 0 degrees - Unit Weight (γ): 100 pcf - Overconsolidation Ratio (OCR): 2 - Plasticity Index (PI): 40 - Compression Index (cᶜ): 0.22 - Recompression Index (cʳ): 0.04 - Coefficient of Consolidation (cᵥ): 0.075 ft²/day - Initial Void Ratio (e₀): 1.2 **Foundation Details:** - Width of foundation: 6 feet - Depth to bottom of foundation: 20 feet from the ground surface **Substrate:** - Underlying soil material: Gravel This breakdown provides critical data for assessing the settlement characteristics, stability, and overall performance of the foundation system under the specified loading conditions.

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