Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Structural Engineering
Shear Force
Concrete Design
Reinforcement Calculation

Formulas

Total load: q_total = q + g
Shear force: V_max = (q_total * L) / 2
Design shear stress: τ_d = V_max / (b * d_ef)
Concrete's contribution to shear strength: τ_c
Shear reinforcement area: A_s = V_sw / (f_y * sin(α))

Theorems

NBR6118 Model I for Shear Design
Reinforced Concrete Design

Suitable Grade Level

Undergraduate Structural Engineering