Some Guidelines for Constructing Shear Force and Bending Moment Diagrams SIGN CONVENTIONS
+V +M +V +M
-M -V -V -M
BOUNDARY CONDITIONS
Ax A B Bx
Ay
Pinned LEFT End: Reaction force, Ax is unknown. Reaction force, Ay is unknown. V (shear force) = Ay (reactio
Chapter 9
Deflections of Beams
9.1 Introduction
in this chapter, we describe methods for determining the equation of the
deflection curve of beams and finding deflection and slope at specific points
along the axis of the beam
9.2 Differential Equations of
Chapter 6.
Mechanical Properties of Metals
6.1 Introduction
Many materials (when in service) are subjected to forces or loads(Al. alloy:airplane wings; steel:
automobile axle). In such situation need to know mechanical properties of materfial so to design
CHAPTER 4
Stress, Strain, Stress-Strain
4.1 The Concept of Stress An Introduction
We have talked about internal forces, distributed them uniformly over an area and they
became a normal stress acting perpendicular to some internal surface, or a shear stres
Mat E 272-C Fall 2001 Homework Set #5 Callister Chapter 8 SOLUTIONS TO ASSIGNED PROBLEMS and GRADING CRITERIA GRADED problems: 8.3, 8.5, 8.10 SUGGESTED problems: 8.11, 8.14, 8.16, 8.24, 8.39, 8.40 (solutions provided at end of document)
Equation (8.1b) ca
EXPERIMENT 3
EXPERIMENT TITLE: Poisson's Ratio -Flexure
PURPOSE
The purpose of this experiment is to measure the Poisson's Ratio of an aluminum
beam by loading the beam in cantilever bending and using axially and transversely
bonded strain gages.
INTRODUC
ME346 Introduction to Molecular Simulations Stanford University Winter 2007
Handout 1. An Overview of Molecular Simulation
Wei Cai
c All rights reserved
September 26, 2005
Contents
1 Examples of molecular simulations 2 What consists of a molecular dynamic
Problem 5.145 (21} Draw the free-body diagram of
the beam.
(b) Determine the reactions at the suppons.
Solution:
[3) The fuse body diagram is shown.
[h] The sum of the moments about 3
EMS =+th0* (141+ 1300: U.
[mm which :1}! =20 + 300: 500 N-m The sum oi
2012 FALL
E344 SOLUTION SET 7
1.
6.D1
A large tower is to be supported by a series of steel wires.
wire will be 11,100 N (2500 lbf).
It is estimated that the load on each
Determine the minimum required wire diameter assuming a factor
of safety of 2 and a
Chapter 5 Bending Moments and Shear Force
Diagrams for Beams
In addition to axially loaded bars/rods (e.g. truss) and torsional shafts, the structural members may
experience some loads perpendicular to the axis of the beam and will case only shear and ben
T
A
B
The Free Body
Diagram
The Concurrent System
Free Body Diagrams
Essential step in solving Equilibrium problems
Complex Structural systems reduced into concise
FORCE systems
WHAT IS A FREE BODY DIAGRAM?
A FBD is a simplified representation of a PARTI