problem8_sol

# problem8_sol - 22.314/1.56/2.084/13.14 Fall 2006 Problem...

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Unformatted text preview: 22.314/1.56/2.084/13.14 Fall 2006 Problem Set VIII Solution Solution: Evaluate the impact of changing the longitudinal tendon pitch from 165 mm to 200 mm on the required prestress level to prevent tensile in the concrete upon pressurization. Material properties and operating conditions: E s = 210 GPa ; E c = 21 GPa and ν = 0.15 Internal pressure P=350 kPa , and R=R in +t/2= 21.19m To calculate the required prestress level, we should go through the following steps: At first, compute some constants that will be used: χ ls = 2 A s , where A s = π ⋅ d t 2 = 2551.8 mm 2 tp l 4 4 A s χ θ s = tp θ PR N l = = 3.708 MPa ⋅ m 2 P σ = − r 2 E c E l = (1 − χ ls ) 2 1 − ν E c E θ = (1 − χ θ s ) 2 1 − ν E * = χ ls E s + E l and then α = t χ θ s E s + E θ (1 − ν 2 E l ) R E * γ = ν E E * θ N l + 1 ν − t ν σ r (1 − χ θ s − (1 − χ ls ) ν E E * θ ) c D = E 2 ( t 3 + χ ls χ s 2 t ) + E s χ ls χ s 2 t , where χ s = thickness...
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problem8_sol - 22.314/1.56/2.084/13.14 Fall 2006 Problem...

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