EPF Lecture Notes for Section 3_4

# EPF Lecture Notes for Section 3_4 - THREE-DIMENSIONAL FORCE...

This preview shows pages 1–6. Sign up to view the full content.

THREE-DIMENSIONAL FORCE SYSTEMS Today’s Objectives : Students will be able to solve 3-D particle equilibrium problems by a) Drawing a 3-D free body diagram, and, b) Applying the three scalar equations (based on one vector equation) of equilibrium.

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

View Full Document
APPLICATIONS You know the weights of the electromagnet and its load. But, you need to know the forces in the chains to see if it is a safe assembly. How would you do this?
APPLICATIONS (continued) This shear leg derrick is to be designed to lift a maximum of 200 kg of fish. How would you find the effect of different offset distances on the forces in the cable and derrick legs? Offset distance

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

View Full Document
THE EQUATIONS OF 3-D EQUILIBRIUM This vector equation will be satisfied only when Σ F x = 0 Σ F y = 0 Σ F z = 0 These equations are the three scalar equations of equilibrium . They are valid for any point in equilibrium and allow you to solve for up to three unknowns. When a particle is in equilibrium, the vector sum of all the forces acting on it must be zero ( Σ F = 0 ) . This equation can be written in terms of its x, y and z components. This form is written as follows. ( Σ F x ) i + ( Σ F y ) j + ( Σ F z ) k = 0
EXAMPLE #1 1) Draw a FBD of particle O. 2) Write the unknown force as F 5 = {F x i + F y j + F z k } N 3) Write F 1 , F 2 , F 3 , F 4 and F 5 in Cartesian vector form. 4) Apply the three equilibrium equations to solve for the three

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 05/06/2011 for the course MECHENG 201 taught by Professor Rankin during the Spring '11 term at Wisconsin Milwaukee.

### Page1 / 18

EPF Lecture Notes for Section 3_4 - THREE-DIMENSIONAL FORCE...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online