## Shrinkage warping of reinforced concrete beams |

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ACI Committee 435 American Concrete Institute analysis of variance beam test beams containing Branson's empirical equations Branson's equations calculated curvatures calculation of shrinkage CM CM CM Ol Comparisons with Branson's computer experiment concrete creep concrete shrinkage concrete stresses Constants creep and shrinkage curvatures calculated data points deflections of reinforced doubly reinforced beams DOUBLY REINFORCED SECTIONS due to Shrinkage elastic analysis elastic modulus experimental extreme fibre Factorial Experiment Grand mean linear variation long term curvature long term deflections material properties mean-squares value number of data number of points observed curvatures open parameters Proc ratio regression analysis reinforced concrete beams scatter diagram shrinkage deflections shrinkage warping process simplified equation singly and doubly singly reinforced beams sn sn sn South Wales steel reinforcement strains and curvature stresses and strains Structural Engineering tension steel test data tH tH tH theoretical analysis Total number Variables vary zero