Quick Reference Values
Concrete grade (bridge deck)M25 minimum
Concrete grade (wearing coat)M30 minimum
Permissible stress M25 bending8.3 MPa
Permissible stress M30 bending10.0 MPa
Permissible stress Fe 415200 MPa
Permissible stress Fe 500240 MPa
Modular ratio (M25)10.98
Clear cover (moderate)40mm
Minimum Grade of Concrete for Wearing Coat (Bridges)M25
Minimum Grade of Concrete for Deck Slab (Bridges)M20
Minimum Grade of Concrete for Beams and GirdersM15
Minimum Grade of Concrete for Abutments and PiersM15
Nominal Cover to Reinforcement in Bearings (Bridges)50 mm
Nominal Cover to Reinforcement in Deck Slabs (Bridges)30 mm
Nominal Cover to Reinforcement in Beams (Bridges)25 mm
Nominal Cover to Reinforcement in Abutments and Piers30 mm
Maximum Percentage of Reinforcement in Concrete Sections4.0%
Minimum Percentage of Reinforcement in Concrete Sections0.24% (for Fe415 steel)
Characteristic Strength of Concrete (M20)20 N/mm²
Characteristic Strength of Concrete (M25)25 N/mm²
Modulus of Elasticity of Concrete (M20)22,000 N/mm²
Modulus of Elasticity of Concrete (M25)24,000 N/mm²
Modulus of Elasticity of Steel (Mild Steel/High Tensile Steel)200,000 N/mm²
Permissible Bending Stress in Concrete (f cbc) for M155 N/mm²
Permissible Bending Stress in Concrete (f cbc) for M207 N/mm²
Permissible Bending Stress in Concrete (f cbc) for M258.5 N/mm²
Permissible Tensile Stress in Steel (f st) for Mild Steel140 N/mm²
Permissible Tensile Stress in Steel (f st) for High Tensile Steel (10 mm dia)190 N/mm²
Permissible Shear Stress in Concrete (f v) for M150.3 N/mm²
Permissible Shear Stress in Concrete (f v) for M200.4 N/mm²
Key Formulas
Moment of resistance: Mr = R × b × d² (balanced section)
Lever arm: z = d - xu/3
Neutral axis: xu/d = 0.53 (Fe 415, M25 balanced)
x_u = (m * f_st) / (f_cbc + m * f_st) * d
M_u = 0.87 * f_y * A_st * d * (1 - (A_st * f_y) / (b * d * f_c))
Z = d * (1 - 0.42 * x_u / d)
Shear Stress (v) = V / (b * d)
Moment of Resistance (M) = 0.5 * b * D^2 * N * (1 - 0.417 * N) * f_ck