CVEN4002 Workshop - Flexural design of beams.pdf

Equilibrium and compatibility method reinforced

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Equilibrium and compatibility method Reinforced concrete basics 2E (Example 3.3) Calculate the stresses in compressive and tensile reinforcements. MPa E MPa E s c 5 10 2 , 30100 6445 . 6 / Ec Es n
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Example 3: Serviceability design: Strain calculation by Equilibrium and compatibility method Reinforced concrete basics 2E (Example 3.3) 0 / ] [ 2 / ) ( 2 2 b A d A d n b A A n d d st sc sc st sc n n (Eq. 9’) mm d d d n n n 133 0 33490 6 . 119 2 n sc n sc sc s n n c ser d d d d d A E d d b d E M / ) ( ) ( 2 / ) 3 / ( 0 (Eq. 11) 6 5 6 0 10 333 133 / ) 60 133 ( ) 60 390 ( 900 10 2 2 / ) 3 / 133 390 ( 300 133 30100 10 80
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Example 3: Serviceability design: Strain calculation by Equilibrium and compatibility method Reinforced concrete basics 2E (Example 3.3) n n st n sc n sc d d d d d d / ) ( / ) ( 0 0 (Eq. 5) (Eq. 6) 6 6 0 6 6 0 10 643 133 / ) 133 390 ( 10 333 / ) ( 10 183 133 / ) 60 133 ( 10 333 / ) ( n n st n sc n sc d d d d d d And the stresses are as follows: MPa E MPa E st s st sc s sc 129 10 643 10 2 37 10 183 10 2 6 5 6 5
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