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1. For the cross section shown below, the material and sectional properties are given as follows: f_c^'=4ksi, f_y=60 ksi, b=30 in, d=20 in, concrete cover

1. For the cross section shown below, the material and sectional properties are given as follows: f_c^'=4ksi, f_y=60 ksi, b=30 in, d=20 in, concrete cover depth 1.5in. , Four No. 8 bars used for reinforcement. Tensile strength of concrete is 500 psi. (a) Determine the modular ratio. The concrete modulus of elasticity can be estimated by 57000(f_c^' ) [psi] where f_c^' must be in unit psi. (b) Draw the transformed section. (C) Show that the cross-section is elastic and does not have cracks when a bending moment of 1,000 kips-in is applied. Also, given the bending moment, find the maximum stress in concrete and steel. The neutral axis is at 11.05 in. from the top surface, and the moment of inertia around the neutral axis is 26676 in4

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