Bearing Capacity and Critical Normal Stress Distribution of Soils by Method of Variational Calculus

Description

Download Bearing Capacity and Critical Normal Stress Distribution of Soils by Method of Variational Calculus. Civil Engineering students who are writing their projects can get this material to aid their research work.

Abstract

A mathematical technique is hereby advanced for investigating the bearing capacity and associated normal stress distribution at failure of soil foundations. The stability equations are obtained using the limit equilibrium (LE) conditions.

The additions of vertical, horizontal and rotational equilibria are transformed mathematically with respect to the soil shearing strength, leading to the derivation of the equation of the functional Q, and two integral constraints.

Generally, no constitutive law beyond the conlomb’s yield criterion is incorporated in the formulation. Consequently, no constraints are placed on the character of the criticals except the overall equilibrium of the failing soil section.

The critical normal stress distribution, 6min, and consequently the load, Qmin, determined as a result of the minimization of the functional are the smallest stress and load parameters that can cause failure.

Introduction

Many of the problems encountered in soil Mechanics and Foundation Engineering Designs are the extreme-value type.

These problems include the stability of sloppy soil, the bearing capacity of foundations on horizontal, adjacent to sloppy soil and on sloppy soil, the limiting forces (active-Pa and passive Pp) acting on retaining structures like retaining walls, dams, sheet pile walls and others.

All problems of the types mentioned above can be solved within the framework of the limiting equilibrium (LE) approach. This approach which considers the overall stability of a “test body” bounded by soil surface [y(x)] and ship surface [y(x)] is based on the following three concepts [1].

Satisfaction of failure criteria S = f (6) along the ship surface, y(x) over which distribution. ý (x) and 6 (x) constitute the shear and normal stresses  Satisfaction of all equilibrium equations for the test body (vertical,  horizontal and rotational equilibria).

Extremization of the factor S with respect to two unknown functions y(x) and 6 (x). Thus S is considered to be function of these (y (x) and 6 (x) functions. The extreme value is defined as; Sex = Extr S [y (x) , 6 (x)

How to Download this Project Material

First, note that we are one of the best and most reliable online platforms because we don’t retain any of your personal information or data as regards making payments online.

PRICE: ₦3,500 ₦3,000  (Three Thousand Naira Only)

Make a bank deposit or mobile transfer of ₦2,000 only to the account given below;

---

Bank Name: UBA Account Number: 1022564031 Account Name: TMLT PRO SERVICES

---

After making the payment, CLICK HERE to send the following on WhatsApp;

• Depositor’s Name or Screenshot of Payment
• Name of the Past Question
• Active Email Address

---

or Call Us On +2348082284439 Once your details have been received and your payment confirmed by us, you will receive the past question in your email or WhatsApp within 5 Minutes.

Guarantee of Getting the Material 

We understand that due to the high rate of fraud, many people are afraid of making purchases online but be rest assured that PastExamQuestions will deliver your material after payment.

Once your details have been received and your payment confirmed by us, you will receive the past question in your email or WhatsApp.

Give us Feedback

Have we been able to satisfy you? How well do you think the material will be helpful after having gone through it? Does the price worth the material?

Let’s hear from you! We recommend that our customers give feedback at the end of every transaction to enable us to serve better. You can do this by clicking the review button on this page.

Where is the review button? >> Just scroll up to where you see reviews