Download presentation

Presentation is loading. Please wait.

Published byBrennan Filson Modified over 2 years ago

1
CE 201 - Statics Lecture 2

2
Contents Vector Operations – Multiplication and Division of Vectors – Addition of Vectors – Subtraction of vectors – Resolution of a Vector Vector Addition of Forces Analysis of Problems

3
Vector Operations Multiplication and Division of a Vector by a Scalar Vector A Scalar a A a = aA Magnitude of aA Direction of A if a is positive (+) Direction of –A (opposite) if a is negative (-) A -A 1.5 A

4
Vector Addition Vectors are added according to the parallelogram law The resultant R is the diagonal of the parallelogram If two vectors are co-linear (both have the same line of action), they are added algebraically A B A B R = A + B A B B A A B

5
Vector Subtraction The resultant is the difference between vectors A and B A B -B A R R A

6
Resolution of a Vector If lines of action are known, the resultant R can be resolved into two components acting along those lines (i.e. a and b). a b A B R

7
Vector addition of Forces Force! Is it vector OR scalar? Why? The two common problems encountered in STATICS are: 1. Finding the RESULTANT (by knowing the COMPONENTS). OR 2. Resolving a FORCE into its COMPONENTS (by applying the parallelogram law). If more than two forces are to be added!! Apply the same law more than once depending on the number of forces.

8
3 Forces F1 F2 F3 R1=F1+F2 R2=R1+F3

9
Four Forces F1 F2 F3 R1=F1+F2 R2=R1+F3 F4 R3=R2+F4

10
Analysis of Problems Two procedures to be followed: Parallelogram law Trigonometry sine and/or cosine laws may be used

11
Sine Law A/sin (a) = B/sin (b) = C/sin (c) a A B b C c

12
Cosine Law C = A 2 +B 2 -2ABcos (c) a A B b C c

13
Examples 2.1 2.2 2.3 2.4 Problem 2-8 Problem 2-25

Similar presentations

Presentation is loading. Please wait....

OK

10.2 Vectors and Vector Value Functions

10.2 Vectors and Vector Value Functions

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on holographic technology stocks Ppt on sales order processing Ppt on power diode rectifier Ppt on wireless network devices and digital convergence Funny ppt on marriage Ppt on depth first search example Ppt on regional trade agreements and wto Ppt on electronic media Ppt on intelligent manufacturing ppt Ppt on omission of articles in spanish