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HW1_F09_sol_ - UNIVERSITY OF ILLINOIS URBANA-CHAMPAIGN...

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UNIVERSITY OF ILLINOIS, URBANA-CHAMPAIGN NAME: _______________ DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING DATE: _______________ 1 CEE 380 Spring 2009 – HOMEWORK #1 Soil Grain Properties & Weight-Volume Relationships (Due Jan 29, 2009) NOTE: PLEASE SHOW YOUR CALCULATIONS IN A CLEAR FORM 1. For a given soil, show that: a. e S w G r s = Solution: e S V V V V V V W W V W V W W W w G r s v v w s w s w w w s s s w w s s = × = = × = × = × γ γ b. ( ) w e eS w r d + = 1 γ γ Solution: ( ) d t s v s s s v s s s s w s v s w s w s v w w v w s v w r V W V V W V V V V W W W V V V W W W V V V W V V V V w e eS γ γ = = + = + = + = + = + 1 1 1
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