Library of example sheets
107 worked example sheets for reinforced concrete: beams, slabs, columns, footings, shear, torsion, detailing and serviceability to IS 456 and Eurocode 2. Open any of them in Equation Pad, change the inputs and print.
Example only. This sheet shows one way to set out the check. It is not endorsed by the bodies that publish the design codes and does not reproduce them. Check every clause, value and assumption against your own copy of the current edition of the code (and its national annex) before you use it, and have the result checked by a competent person. See the disclaimer.
IS 456 (53 sheets)
Beams
- Limiting moment of resistance of a singly reinforced beam
- Design of a simply supported singly reinforced beam
- Doubly reinforced beam: compression and tension steel
- T-beam moment capacity with the neutral axis in the flange
- Effective width of T and L beam flanges
- Lintel over a door opening
- Continuous beam: moment and shear coefficients
- Limiting neutral axis depth for different steel grades
- Deep beam: lever arm and tension steel
- Moment capacity of a given beam section
- Depth of a beam from the limiting moment
Columns
- Short column under axial load
- Minimum eccentricity and design moment of a column
- Slender column: additional moments
- Lateral ties of a column
- Helically reinforced circular column
- Column under axial load and biaxial bending
- Load on an interior column
Detailing
- Development length of bars in tension and compression
- Lap length of reinforcement bars
- Effective depth from cover and bar sizes
- Minimum and maximum reinforcement
- Bar spacing in a slab
- Side face reinforcement of deep beams
Foundations
- Size of an isolated square footing
- Isolated footing: bending moment and steel
- Isolated footing: one-way shear
- Isolated footing: punching shear
- Combined footing for two columns
- Rectangular footing for a rectangular column
- Bearing stress under a column base
- Dowel bars between a column and its footing
Loads and materials
- Load combinations for the limit state of collapse
- Target mean strength of concrete for mix design
- Short-term properties of concrete
Quantities
Serviceability
Shear and torsion
- Shear design of a beam with vertical stirrups
- Minimum shear reinforcement in beams
- Beam under torsion, shear and bending
- Torsion: equivalent moments for longitudinal steel
Slabs
- One-way slab design
- Two-way slab with simply supported edges
- Cantilever slab (chajja)
- Punching shear of a flat slab at an interior column
- Flat slab: total design moment in a panel
- Shear check of a slab
Stairs and walls
- Dog-legged staircase flight
- Retaining wall: active earth pressure
- Retaining wall: overturning, sliding and base pressure
- Retaining wall: design of the stem
Eurocode 2 (54 sheets)
Beams
- Singly reinforced rectangular beam
- Doubly reinforced rectangular beam
- Flanged beam with the neutral axis in the flange
- Effective flange width of T-beams
- Effective span of beams and slabs
- Limits of moment redistribution
- Simply supported beam: bending and shear
Columns
- Column slenderness and the slenderness limit
- Second order moment by the nominal curvature method
- Axial resistance of a short column
- Column under biaxial bending
- Effective length of a braced column
- Column reinforcement limits and links
- Minimum eccentricity of a column
- Column load take-down
Detailing
- Nominal concrete cover
- Minimum and maximum longitudinal reinforcement of beams
- Anchorage length of bars
- Lap length of bars
- Bearing on a partially loaded area
- Minimum clear spacing of bars
- Minimum mandrel diameter for bent bars
- Shift rule for curtailment of tension bars
Foundations
- Pad footing: plan size from the bearing resistance
- Pad footing: bending and steel
- Pad footing: punching shear at 2d
Loads and materials
- Concrete and steel design properties
- Ultimate load combinations (EN 1990)
- Autogenous shrinkage strain
- Concrete strength at an age of t days
Serviceability
- Deflection control by span to effective depth ratio
- Crack width calculation
- Maximum bar spacing for crack control
- Stress limits at the serviceability limit state
- Stresses in a cracked rectangular section
- Cracking moment of a rectangular section
- Deflection by interpolation between uncracked and cracked states
Shear and torsion
- Shear resistance of members without shear reinforcement
- Shear links by the variable strut inclination method
- Maximum shear resistance V_Rd,max
- Minimum shear reinforcement and link spacing
- Torsion with shear
- Shear at the interface between concrete cast at different times
- Design shear near a direct support
Slabs
- One-way spanning slab
- Two-way slab from moment coefficients
- Punching shear at the basic control perimeter
- Punching shear reinforcement
- Punching shear at the column face
- Slab detailing rules
- Continuous one-way slab: moment and shear coefficients