2.1 Cantilever: Plot the load vs. deflection curve using below. From the load deflection curve‚ the modulus of the linear section can be found as: Load (N) vs. De.lection (m) 100 90 80 70 60 50 40 30 20 Load (N) vs. De8lection (m) 10 0 0 0.00064 0.00121 0.00176 0.00229 0.00255 0.00289 0.00325 0.00428
Premium Beam Expected value
Phytagoras was born in 570 BC‚ on the island of Samos‚ in the Ionian region. Pythagoras was the most recognized Greek mathematician and philosopher through his theorem. Known as "Father of Numbers"‚ he made an important contribution to philosophy and religious teaching in the late 6th century BC. His life and teachings are not so obvious as there are many legends and artificial tales about him. In Greek tradition‚ it is said that he traveled a lot‚ including to Egypt. Phytagoras’s journey to
Premium Mathematics Philosophy Geometry
LIMITS AND CONTINUITY 1. The concept of limit x2 − 4 . Examine the behavior of f (x) as x approaches 2. Example 1.1. Let f (x) = x−2 Solution. Let us compute some values of f (x) for x close to 2‚ as in the tables below. We see from the first table that f (x) is getting closer and closer to 4 as x approaches 2 from the left side. We express this by saying that “the limit of f (x) as x approaches 2 from left is 4”‚ and write x→2− lim f (x) = 4. Similarly‚ by looking at the second table
Premium Function
Unit 1: Introduction to Polynomial Functions Activity 4: Factor and Remainder Theorem Content In the last activity‚ you practiced the sketching of a polynomial graph‚ if you were given the Factored Form of the function statement. In this activity‚ you will learn a process for developing the Factored Form of a polynomial function‚ if given the General Form of the function. Review A polynomial function is a function whose equation can be expressed in the form of: f(x) = anxn + an-1xn-1 +
Premium Polynomial Division Polynomials
INTRODUCTION TO CRYPTOGRAPHY INTRODUCTION Cryptography is the branch of science that deals with data security relating to encryption and decryption. This science has been in existence about 4000 years ago with its initial and limited use by the Egyptians‚ to the twentieth century where it played a crucial role in the outcome of both world wars. Cryptography was used as a tool to protect national secrets and strategies. DES‚ the Data Encryption Standard‚ is an adoption with the Federal Information
Premium Cryptography Encryption Cipher
Pi is an ancient and wonderful Number to the World of Mathematics invented with the Geometrical structure Circle. CIRCLE It is felt that the creation of the Circle is not created by the man himself but came through the inspiration of Nature itself. The shape of Sun‚ Full Moon‚ Eyes are some examples for it. Some basic things : There are 3 major parts to remember. Radius : The straight line drawn to the Circumference of the Circle from the Centre
Premium
common divisor of two numbers. Book eight looked at numbers in geometrical progression. Book X -- Incommensurables Book ten covered mainly the work of Theaetetus and dealt with the theory of irrational numbers. Euclid altered the proofs of several theorems in this book so that they fitted the new definition of proportion given by
Premium Mathematics Geometry Euclid
Socrates and Aristotle were both Greek philosophers who contributed philosophies. Socrates believed that all people contained real knowledge within them and that self critical examination was needed to bring this knowledge out. Socrates once stated‚ “The unexamined life is not worth living.” In this philosophical idea‚ Socrates is suggesting that an individual‚ who chooses to not think about their own actions‚ does not truly care about their own life. Aristotle believed in the concept of examining
Premium Philosophy Thought Reason
European Journal of Operational Research 154 (2004) 345–362 www.elsevier.com/locate/dsw Returns to scale in different DEA models Rajiv D. Banker a‚ William W. Cooper b‚ Lawrence M. Seiford c‚ Robert M. Thrall d‚ Joe Zhu e‚* c School of Management‚ The University of Texas at Dallas‚ Richardson‚ TX 75083-0658‚ USA Graduate School of Business‚ The University of Texas at Austin‚ Austin‚ TX 78712-1174‚ USA Department of Industrial and Operations Engineering‚ University of Michigan‚ Ann Arbor‚ MI
Premium Output Input Trigraph
polygon with 17 sides could be drawn using just a compass and a straight edge. The first theorem he proved was‚ “The Fundamental Theorem of Algebra.” This theorem says that every algebraic equation has at least one root or solution. Later he published a book called‚ “Disquisitions Arithmetic” which he published in 1801. It showed the study of the number theory and also provided proof for‚ “The Fundamental Theorem of Algebra.” Also he calculated the orbit of asteroid Ceres‚ and was able to predict its
Free Mathematics Asteroid