HG4MEM Mathematics for Engineering
Management
2016-17
School of Mathematical Sciences
Introduction: Typical management problems
Production planning (Linear programming problem)
Products: A company makes two products P1 and P2 (eg
tables and chairs).
Requi
Department of Mechanical, Materials and Manufacturing Engineering
University of Nottingham
MM2MS2 Mechanics of Solids 2
Chapter 2
Deflection of Beams
Deflection of Beams
In this subsection we address the important topic of beam deflections. Whereas the de
Shear-Ponce and Bending-Moment Diagrams
Problem 1 Draw the shear-force and bending-moment diagrams for
a simple beam AB supporting two equal concentrated loads P (see gure
Solution 1 Simple beam Problem 2 A simple beam AB is subjected tc a counterclockw
Faculty of Engineering
Department of Mechanical, Materials and Manufacturing Engineering
Personal Tutorial Programme
Notes on Laboratory Reports
Experimental work is carried out to establish facts. In professional engineering practice, experiments and
tes
Faculty of Engineering
Department of Mechanical, Materials and Manufacturing Engineering
Personal Tutorial Programme
Notes on Extenuating Circumstances
Content for the Procedure and Guidance for dealing with Extenuating Circumstances
Introduction
Circum
Chapter 2
Chapter 2
Deflection of Beams
Mechanics of Solids 2
Chapter 2
Beam Theory
from calculus:
1
r
d 2v
2
1 (d v
dx 2
3
dx
2
)
2
2
small slope of the curve
1 d 2v
dx 2
r
Mechanics of Solids 2
Chapter 2
small slope of the curve
Beam Theory
1 d 2v
dx 2
MM2SM2 Mechanics of Solids 2
Notes on Quantitative Error Analysis for Lab: Beam Deflections
Eq. 1
Equation 1 is the key equation used for calculating errors in a quantity y from errors in several
quantities (x1 to xr) on which y depends.
3
The deflection
Department of Mechanical, Materials 8: The University of
Manufacturing Engineering | Nottingham
MMZMSZ - Mechanics of Solids 2
ngjg QMtigs
l. Deliveeltpressimsfornedewtionmmeslopeofthetipofaeantilever.heam,Lmlong
whichcan'ies: - '
(a) a concentrated trans
Department of Mechanical, Materials &
Manufacturing Engineering
MM2MS2 - Mechanics of Solids 2
BEAM DEFLECTIONS LABORATORY
1. Objectives
To investigate the deflections of various beams and to determine the following:1.
The shape of the elastic line of a s
University of Nottingham
School of Mathematical Sciences
_ Differential Equations and Calculus for Engineers
Ordinary D/Tferet/b/ Equations Problem Sheet 3
l. Solve the following differential equations:
(a) yy=0 (b) y+'y=0
(C) y + 8y + 15y = 0 (d) y +
HG1M12: Engineering Mathematics 2
G Adesso (based on the lecture slides by J A D Wattis)
School of Mathematical Sciences, University of Nottingham
January 2014
G Adesso (University of Nottingham)
HG1M12: Engineering Mathematics 2
January 2014
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Outli