180_CEG 4012 Notes Fall 2011 CEG 4012 Notes Fall 2011

180_CEG 4012 Notes Fall 2011 CEG 4012 Notes Fall 2011 - o...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Sl6 Finite Slope with Planar Failure Surface (Cullman) o Attributed to Cullman (1875) - used vector force diagrams way back then o Assume homogenous c-$ soil and failure plane through toe of slope (lJot'-"~o=rs"'a="n=s) o "'Reasonabl\'1jOOO lor steep slopes, eftical cuts, onea aamS' o Strong evidence for curved failure surface of flatter slopes and Cullman method underestimates FS in this case o Find plane with maximum "developed" average shear stress, td (= Cd + cr tan $d): W s sin e H L o Weight of wedge = ~ ybh = ~ y L (~) sin(i - 8) 2 2 Sin I
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: o sum the normal forces on the plane: W s cos 8 = N o sum the forces parallel to the plane: W, sin 8 = (Cd + N tan $d) = (Cd L + W, cos 8 tan $d) o substitute for W,: ~ y L (~) sin(i-8) sin 8 = c,L +~ y L (~) sin(i-8) cos 8 tan $, 2 Sin I 2 Slnl o and rearranging: c, =.!. ( ,+1.) (sin(i - 8) sin 8- sin(i - 8) cos 8 tan $,) 2 Sin I c =.!. (_,+1_) (sin(i _ 8)(sin 8 cos $, _ ~C-=-OS=-8=-s=-in __$'-'-d)) d 2 sini COSlPd COSQld Cd =.!. ( ,+1) (sin(i - 8) sin(S - $d) 2 sin I...
View Full Document

This note was uploaded on 02/10/2012 for the course CEG 4012 taught by Professor Staff during the Fall '08 term at University of Florida.

Ask a homework question - tutors are online