Solved: The design of a reinforced concrete beam is said

Chapter 4, Problem 4.53

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The design of a reinforced concrete beam is said to be balanced ifthe maximum stresses in the steel and concrete are equal, respectively,to the allowable stresses ss and sc. Show that to achieve abalanced design the distance x from the top of the beam to theneutral axis must bex 5d1 1ssEcscEswhere Ec and Es are the moduli of elasticity of concrete and steel,respectively, and d is the distance from the top of the beam to thereinforcing steel.

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