Statics Handout

Description
General principles of rigid body mechanics, problems solving, statics terminology, and resolving resultant forces
Categories
Published

View again

All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
Share
Transcript
EGN 3310 Statics Chaps 1 & 2 Fall 2013 Handout 1 DFiller Chap. 1 General Principles   What is Mechanics? What is Statics ?  Mechanics  RRiiggiidd--bbooddyy   MMeecchhaanniiccss   Deformable-body   Mechanics  Fluid Mechanics SSttaattiiccss   Deals with equilibrium of bodies at rest or at constant velocity   Dynamics Deals with bodies under accelerated motion   Design & Analysis of:   Structural systems   Mechanical systems   Electrical systems   Rigid-body mechanics is based on Newton’s 3 Laws of Motion:   Law   Name   Description   1 st   Law of Equilibrium  A particle at rest or at constant velocity will remain so unless subjected to an unbalanced force. 2 nd  Law of Acceleration A particle subjected to an unbalanced force accelerates. 3 rd  Law of Mutual Attraction Mutual action-reaction forces between two particles are equal, opposite and collinear. Steps to Effective Problem Solving:   1. Understand the problem 2. Tabulate the known data and draw a free-body diagram (FBD) 3. Apply mathematical principles 4. Solve the problem with units check 5. Evaluate your result (Make sense of your solution – is it reasonable?)  Problem Formatting is an organizational skill! On engineering paper…… 1. D efine problem (in your own words is best) 2. Diagram (if appropriate) – FBD 3. Analysis (step-by-step method) 4. Solution (report to 2-3 significant figures and underline or box)  EGN 3310 Statics Chaps 1 & 2 Fall 2013 Handout 1 DFiller  EGN 3310 Statics Chaps 1 & 2 Fall 2013 Handout 1 DFiller Chap. 2 Force Vectors Terminology - Learn the lingo! Stick with convention! Scalar (number) Vector (→ magnitude, direction, and sense)  Collinear (forces or vectors) (sharing the same line, or alignment) Orthogonal axes (form right angles) Parallelogram Law (parallel sides of equal length, with equal opposite angles; used with orthogonal and non-orthogonal axes) Free Body Diagram (FBD) Drawing/illustration Resultant force (or vector) (2 force vectors added together form a resultant force vector) Force triangle (Triangle Rule, Law of Sines, Law of Cosines) Rectangular components (2D, rectify force as xy components using trig.) Cartesian vector (3D, xyz  axes; rectify force as ijk  components) Unit vector (u) (specifies direction) Position vector (r) (orients force between two points) Coordinate direction angles ( α, β, γ   orients force wrt xyz axes) Concurrent force system (multiple forces acting at/from the same point) Dot product Multiplication of two vectors together yields a scalar Conventions: x z + + +  EGN 3310 Statics Chaps 1 & 2 Fall 2013 Handout 1 DFiller Finding and resolving resultant forces. 2-4. Determine the magnitude of the resultant forc e F R = F 1 + F 2 and its direction, measured clockwise from the positive u axis.  2-5 .  Resolve the force F 1 into components acting along the u   and v    axes and determine the magnitudes of the components.   2-6. Resolve the force F 2 into components acting a long the u   and v axes and determine the magnitudes of t h   e compo n ents.

Consultation Class 04

Jul 23, 2017

Jul 23, 2017
Search
Similar documents

View more...
Tags

Related Search