February 2020
Intermediate to advanced
608 pages
20h 42m
English
book
Introduction to the Variational Formulation in Mechanics
by Edgardo O. Taroco, Pablo J. Blanco, Raúl A. Feijóo
Content preview from Introduction to the Variational Formulation in Mechanics
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
7Bending of Beams
7.1 Introduction
This chapter is devoted to the presentation of the simplest beam model (studied by Bernoulli, Euler, and others), which is characterized by a very particular geometry, as illustrated in Figure 7.1. First, a beam is a structural component which has one of its characteristic dimensions, say 
and called the beam length, much larger than the other characteristic dimensions, which are the height, 
, and the width, 
. That is 
and 
. Second, a beam has a longitudinal plane of symmetry, implying that transversal sections have symmetry with respect to this plane. Thirdly, in a beam, when it is deflected as in Figure 7.1, the superior longitudinal fibers are shortened, while inferior longitudinal fibers are elongated. In the middle of the beam, there are fibers that maintain their length. When such a condition is satisfied, fibers are said to be in a neutral state. The set of these neutral fibers forms the beam neutral surface. It will be considered that the intersection ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.