Determine the reduced nominal moment capacity (φ Mn) of a 10-inch wide by 16- inch deep reinforced concrete beam. Take f'c as 5500 psi and the steel as Grade 60 bars. The tension reinforcement consists of four #9 bars and the compression reinforcement is two #7 bars at the top of the beam. Interior construction and #4 stirrups. Also solve for the reduction factor (φ). Please clearly state the depth to the neutral axis that you iterated for (i.e. ‘c’). Show the work for the iteration of ‘c’. As part of this iteration, you can stop iterating if your resultant tension and compression forces are within 5% of each other. As part of solving for the reduced nominal moment capacity, solve for the reduction factor (φ) You DO NOT need to check the minimum reinforcement amounts per ACI (assume OK). DRAW the cross section and elevation view of this beam to scale. DRAW the strain distribution through the cross-section of the beam and label all dimensions. DRAW the stress distribution (simplified Whitney rectangular shape) through the cross-section of the beam and label the resultant forces

Determine the reduced nominal moment capacity (φ Mn) of a 10-inch wide by 16-
inch deep reinforced concrete beam. Take f'c as 5500 psi and the steel as Grade 60 bars. The tension
reinforcement consists of four #9 bars and the compression reinforcement is two #7 bars at the top of the
beam. Interior construction and #4 stirrups. Also solve for the reduction factor (φ).
Please clearly state the depth to the neutral axis that you iterated for (i.e. ‘c’). Show the work for the
iteration of ‘c’. As part of this iteration, you can stop iterating if your resultant tension and compression
forces are within 5% of each other.
As part of solving for the reduced nominal moment capacity, solve for the reduction factor (φ)
You DO NOT need to check the minimum reinforcement amounts per ACI (assume OK).
DRAW the cross section and elevation view of this beam to scale.
DRAW the strain distribution through the cross-section of the beam and label all dimensions.
DRAW the stress distribution (simplified Whitney rectangular shape) through the cross-section of the
beam and label the resultant forces