The longitudinal foundation is located on the ground as shown in Figure 1. The foundation islocated on the ground with 2 layers of soil. Soil data as follows:a. land 1: y1 = 19 kN/m3, c1 = 20 kN/m2 , p1 = 25°b. land 2: y2 = 19,5 kN/m3. c2 = 50 kN/m2 , Q2 = 30°If the depth of the foundation is 1 m, the width of the foundation is 2 m and a general shearfailure is considered, determine the maximum allowable foundation load based on theTerzaghi bearing capacity formula, with a safety factor of 3!Layer 1Layer 2Figure 1

Answered: The longitudinal foundation is located…

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

The longitudinal foundation is located on the ground as shown in Figure 1. The foundation is
located on the ground with 2 layers of soil. Soil data as follows:
a. land 1: y1 = 19 kN/m3, c1 = 20 kN/m2 , p1 = 25°
b. land 2: y2 = 19,5 kN/m3. c2 = 50 kN/m2 , Q2 = 30°
If the depth of the foundation is 1 m, the width of the foundation is 2 m and a general shear
failure is considered, determine the maximum allowable foundation load based on the
Terzaghi bearing capacity formula, with a safety factor of 3!
Layer 1
Layer 2
Figure 1

Expert Solution

Step 1 Solution

we know that Terzaghi eq

$f o r l o n g i t u d i n a l o r s t i p f o u n d a t i o n b e a r i n g c a p a c i t y q_{u} = C N_{c} + γ D_{f} N_{q} + \frac{1}{2} γ B N_{γ} h e r e o n l y 2 n d t e r m i s r e l a t e d t o u p p e r s o i l T e r z a g h i b e a r i n g f a c t o e s N_{q} = \tan^{2} (45 ° + \frac{ϕ}{2}) \cdot e^{π \tan (ϕ)} a n d N_{γ} = 1.8 \tan (ϕ) (N_{q} - 1) a n d N_{C} = c o t (ϕ) (N_{q} - 1) F o r ϕ = ϕ_{1} = 25 \Rightarrow N_{q} = 12.7 N_{γ} = 9.7 a n d N_{C} = 25.1 F o r ϕ = ϕ_{2} = 30 \Rightarrow N_{q} = 19.7 N_{γ} = 22.5 a n d N_{C} = 37.2 d e p t h o f f o o t i n g D_{f} = 1.0 m a n d w i d t h B = 2.0 m f a c t o r o f s a f e t y F = 3.0$