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A bridge design must withstand various loads, including dead loads, live loads, and environmental factors such as wind and seismic activity. Explain the concepts of static equilibrium and structural stability as they apply to bridge engineering. Discuss the role of materials selection, structural geometry, and reinforcement techniques in optimizing the strength and durability of bridge structures. Using principles of mechanics and structural analysis, derive equations to calculate the maximum load capacity and deflection of a simple beam bridge.

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