Lecture 10 - ENGR-1100 Introduction to Engineering Analysis...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 10 Notes courtesy of: Prof. Yoav Peles ENGR-1100 Introduction to Engineering Analysis
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Homework Assignment (due next class) Problem 4-54 Problem 4-59 Problem 4-64
Background image of page 2
Lecture Outline Vector representation of a moment: - Moment of a force about a point. -Moment of a force about a line.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
F d Ο In 2D, we work in the plane perpendicular to the axis that contains F . Point O is intersection of axis A-A with that plane. The magnitude of the moment is: M = | F |d where: F = force; and d = perpendicular distance from the line of action of the force to the axis (point O). Units of Moment M : lb•ft or lb•in in U.S. Customary system ; and N•m or kN•m in SI units.
Background image of page 4
F d Ο α 1 Α 1 α 2 Α 2 r 1 r 2 sin α 1 = d / r 1 sin α 2 = d / r 2 d = r 1 sin α 1 = r 2 sin α 2
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Two dimensional case F = F x i + F y j r = r x i + r y j x y r F O A j i M 0 = r x F = (r x i + r y j ) x (F x i + F y j ) = r x F x ( i x i ) + r x F y ( i x j ) + r y F x ( j x i ) + r y F y ( j x j ) = (r x F y - r y F x ) k = M z k M 0 = = (r x F y - r y F x ) k = M z k i j k r x r y 0 x y
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 21

Lecture 10 - ENGR-1100 Introduction to Engineering Analysis...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online