In limit state design of reinforced concrete, deflection is computed ...
Initial tangent modulus is also known as short term elastic modulus is used to calculate the elastic deflections. For long-term deflection that is due to creep is computed by the long-term value of Young's modulus.
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In limit state design of reinforced concrete, deflection is computed ...
Deflection in Limit State Design of Reinforced Concrete
Deflection is an important consideration in the design of reinforced concrete structures as excessive deflection can result in cracking, deformation, and ultimately failure. In limit state design, deflection is computed by using short and long term values of Young's modulus.
Short and Long Term Values of Young's Modulus
Young's modulus is a measure of the stiffness of a material, and it is used to calculate the deflection of a structure under load. In reinforced concrete design, the short term value of Young's modulus is used to calculate the immediate deflection of the structure when it is first loaded. The long term value of Young's modulus is used to calculate the deflection that will occur over time due to creep and shrinkage.
Calculation of Deflection
The deflection of a reinforced concrete structure can be calculated using the following equation:
δ = (5wL^4)/(384EI)
where:
δ = deflection
w = load per unit length
L = span length
E = Young's modulus
I = moment of inertia of the section
To calculate the deflection, the short term value of Young's modulus is used in the above equation to calculate the immediate deflection, and the long term value of Young's modulus is used to calculate the deflection due to creep and shrinkage over time.
Conclusion
In limit state design of reinforced concrete, deflection is an important consideration. Deflection is computed by using short and long term values of Young's modulus to calculate the immediate deflection and deflection due to creep and shrinkage over time.