hw1soulutions

# hw1soulutions - Homework 1. Equations: E = / , For Steel...

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Homework 1. Equations: E = σ/ε , For Steel E=30x10^6 psi σ = F/A = (18 x 2000) / (2 in 2 ) = 18,000 psi (note 1 ton = 2000 lbs) ε= σ/E, 18,000 psi/(30x10^6 psi) = 0.0006 ε=e/L o rewrite ε*L o = e, 0.0006*(15 feet) = 0.009 feet 2. Gray cast iron α = 0.0000059/˚F Structural steel α = 0.0000065/˚F δ T = αΔTL ΔT = 165-60 = 105 ˚F L = 42 in δ T(Iron) = 0.0000059 x 105 x 42 = 0.026019 in δ T(Steel) = 0.0000065 x 105 x 42 = 0.028665 in Difference in height = 0.026019 – 0.028665 = 0.002646 in 3. a. Strength of Rupture = 45 ksi , b. Toughness = 45ksi*0.3/2 = 6.75 ksi 4. 5.8 of Book. a. Aggregate Bulk specific gravity A/(B-C) = 5216/(5227-3295) = 2.70 b. Apparent specific gravity A/(A-C) = 5216/(5216-3295) = 2.72 c. Moisture Content (Org-A)/A*(100%) = (5298-5216)/5216*100% = 1.57% d. Absorption (B-A)/A *100% = (5227-5216)/(5216)*100% = 0.21% 5.13 of Book: SSD = 500 g = S Pycnometer with water = 623 g = B Mass dry sand = 495.5 = A Dry Bulk Specific Gravity =A/(B+S-C) = 495.5/(623+500-938.2) =

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## This note was uploaded on 06/22/2009 for the course CM 3400 taught by Professor Hassan during the Spring '09 term at LSU.

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hw1soulutions - Homework 1. Equations: E = / , For Steel...

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