- Rebar Table
*Figure 1: Rebar Information Table (ASTM) *

- Relationship between Shear (V) and Moment (M) diagrams and steel reinforcements in a simply supported and cantilever beam.
*Figure 2: Relationship between Shear (V) and Moment (M) diagrams and steel reinforcements in a simply supported and cantilever beam *

Worked out problems with solutions in pdf files

## Cracks in an Unreinforced Beam

Draw the cracks in an unreinforced concrete simply supported beam subjected to a uniform distributed load acting downwards. (transverse and longitudinal)

## Ultimate Moment Capacity for a Singly Reinforced Beam

Find the ultimate moment capacity (Φ Mn) for the singly reinforced rectangular beam shown below.

*Figure 3: Singly reinforced concrete beam analysis example 1 (Beam) *

Find the ultimate moment capacity (Φ Mn) for the singly reinforced rectangular beam shown below.

*Figure 4: Singly reinforced concrete beam analysis example 2 (Beam) *

Find the required height, h, of the reinforced concrete cross section for the simply supported beam with a uniform live and dead load (self-weight included) as shown below, assuming that the steel has yielded (use factored loads).

*Figure 5: Simply supported beam with a singly reinforced concrete cross section *

Find the uniformly distributed live load, w_{L}, of the reinforced concrete cross section for the simply supported beam with a uniform live and dead load (self-weight is not included) as shown below, assuming that the steel has yielded (use factored loads).
The unit weight of the reinforced concrete section, ϒ_{conc} is 150 pcf.

*Figure 6: Simply supported beam with a singly reinforced concrete cross section *

## Ultimate Load for a Column

Find the ultimate load (ΦPn) for the short tied column as shown below.

*Figure 7: Short tied reinforced concrete column example *

## Under-reinforced or Over-reinforced

For the singly reinforced concrete beam as shown below, check if beam is under-reinforced or over-reinforced.

*Figure 8: Singly reinforced concrete beam *

## Ultimate Moment Capacity for a Doubly Reinforced Beam

Find the ultimate moment capacity (Φ Mn) for the doubly reinforced concrete rectangular beam shown below.

*Figure 9: Doubly Reinforced Beam Analysis Ex1 (Beam) *

## Ultimate Moment Capacity for a T-beam With Two Rows of Steel in Tension

Find the ultimate moment capacity (Φ Mn) for the reinforced concrete T beam with 2 rows of steel as shown below.

*Figure 10: Reinforced T Beam Analysis with 2 rows of steel (Ex1) *

*Figure :*

## Shear Reinforcement Analysis and Design

Find the ultimate shear capacity (Φ Vn) for the singly reinforced rectangular beam shown below.

*Figure 11: Singly reinforced concrete beam analysis example 3 (Beam) *

Design the shear reinforcement (stirrups) for this 24 ft span simply supported reinforced concrete beam as shown below. Self-weight of the beam is not included in the dead load, ϒ_{conc} = 150 pcf.

(a)Find V_{u @ d},

(b)Find the ultimate shear strength provided by concrete (Φ Vc) from cross section,

(c)Find (Φ Vc)/2 from cross section,

(d)Are stirrups required?

*Figure 12: Simply supported reinforced concrete beam (shear reinforcement problem) *

Design the shear reinforcement (stirrups) for this 28 ft span simply supported reinforced concrete beam as shown below. Self-weight of the beam is not included in the dead load, ϒ_{conc} = 150 pcf.

*Figure 13: Simply supported reinforced concrete beam (shear reinforcement design problem) *

## Reinforced Concrete Beam Design (Flexural and Shear)

Design this 28 ft span cantilever beam as shown below, using #3 stirrups. Self-weight of the beam is not included in the dead load, ϒ_{conc} = 150 pcf.

*Figure 14: Cantilever beam reinforced concrete design *

- Analysis of doubly reinforced beam
- Shear reinforcement example