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EX3.2 - CEE 415 Example 3.2 Calculate Mn and-factor for the...

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CEE 415 Example 3.2: Calculate M n and φ -factor for the doubly reinforced section shown below. Assume that ε s ε y = 0.00207, and use trial and error process to find c : Try c d/3 5 in. c = 4 in. ε s ' = [( c - d )/ c ] ε cu = 0.0015 0.00113 f s ' = E s ε s ' = 43.3 ksi ( f y ) 32.6 ksi C s ' = A s ' ( f s ' – 0.85 f s ' ) = 72.2 k 52.6 k C c = 0.85 f c ' b β 1 c = 173 k 139 k T = A s f y = 190 k 190 k T < C c + C s ' (decrease c ) T C c + C s ' Check steel strain, ε s = [ (d – c)/c ] ε cu = 0.00863 > ε y (o.k.) Also, ε s > 0.005, so this is a tension-controlled
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