Machine Design slide 6

Machine Design slide 6 - With different end conditions, Sr...

Info iconThis preview shows pages 1–12. Sign up to view the full content.

View Full Document Right Arrow Icon
Click to edit Master subtitle style 4/17/11 Machine Design ENGR 3220U Week 3, Lecture 2 UOIT, 2011, Winter
Background image of page 1

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

View Full DocumentRight Arrow Icon
4/17/11 Example 1
Background image of page 2
4/17/11 Example 2 Figure P4-23 shows a 1-in-dia steel bar supported and subjected to the applied load P=500 lb. Solve for the deflection at the load and the slope at the roller support.
Background image of page 3

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

View Full DocumentRight Arrow Icon
4/17/11 Compression Members Long columns with central loading Intermediate-length column with central loading Columns with eccentric loading Struts or short columns with eccentric loading
Background image of page 4
Long columns with central loading 2 2 l EI P cr π = When P reaches a critical value, the column will be come unstable and bending will develop
Background image of page 5

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

View Full DocumentRight Arrow Icon
Compression Members Using relationship I = Ak2, where A is cross section area and k is the radius of gyration, equation in last slide becomes: 2 2 2 2 ) / ( r cr S E k l E A P π = = Where Sr is called slenderness ratio. This ratio, rather than the actual column length, will be used in classifying column according to length categories.
Background image of page 6
4/17/11 Slenderness Ratio
Background image of page 7

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

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

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

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11

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

View Full DocumentRight Arrow Icon
Background image of page 12
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: With different end conditions, Sr are different. 4/17/11 Slenderness Ratio k l S eff r = l eff, instead of l , is used to calculate Sr. With different end conditions, l eff is given in above table. 4/17/11 Intermediate-length column with E S S S A P r yc yc cr 1 2 2 -= π Columns with Eccentric Loading For columns with eccentric loading, the unit load can be calculated with secant column formula: (3) 4/17/11 Columns with Eccentric Loading Comparison of secant and Euler equations of steel with Sy=40 psi 4/17/11 Struts or Short Columns For short compression members (struts), the critical unit load can be calculated with following equation: And limiting slender ratio is given by: If slenderness ratio is less than limiting Slender ratio, use above equation to calculate critical unit load, otherwise use secant formula (Equation 3) in slide 16. (4)...
View Full Document

This note was uploaded on 04/16/2011 for the course ENGR 3220 taught by Professor Turro during the Spring '11 term at UOIT.

Page1 / 12

Machine Design slide 6 - With different end conditions, Sr...

This preview shows document pages 1 - 12. Sign up to view the full document.

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