Week 12 Challenge

To calculate the Barge Impact load on the bridge as per the Indian Road Congress (IRC) guidelines, we need to follow the IRC:6-2014 specifications for the design of bridges. Given the provided details,calculate the Barge Impact load step by step:

1. Calculation of Barge Weight: The dead weight tonnage of the Panamax vessel is given as 52,500 DWT. To calculate the weight of the barge (W), we convert it to kilonewtons (kN):

1 DWT = 9.81 kN W = 52,500 DWT * 9.81 kN/DWT W = 514,425 kN

2. Calculation of Cargo Weight: Each container is of standard 6.1 TEU, and the ship can accommodate a maximum of 4,500 containers. To calculate the total cargo weight (C), we consider the weight of each container and convert it to kilonewtons:

Weight of each container = 6.1 TEU * 20 tons/TEU * 9.81 kN/ton

Weight of each container = 1,195.8 kN

Total cargo weight = 4,500 containers * 1,195.8 kN/container

Total cargo weight = 5,380,100 kN

3. Calculation of Total Barge Weight: The total weight of the barge (W_total) is the sum of the barge weight (W) and the cargo weight (C):

W total = W + C W total = 514,425 kN + 5,380,100 kN

W total = 5,894,525 kN

4. Calculation of Hydrodynamic Impact Force: The hydrodynamic impact force (F) is calculated by multiplying the hydrodynamic coefficient, total barge weight, and velocity:

F = hydrodynamic coefficient * W total * velocity

F = 1.25 * 5,894,525 kN * (60,000 m/3600 s)

F = 1.25 * 5,894,525 kN * 16.67 m/s

F = 123,193,593.8 kN.m/s

5. Calculation of Impact Load per Unit Length: To calculate the impact load per unit length (q), we need to consider the span and width of the bridge:

Span of the bridge (L) = 12 m

Width of the bridge (W bridge) = 7 m

q = F / (L * W bridge)

q = 123,193,593.8 kN.m/s / (12 m * 7 m)

q = 1,745,647.1 kN/m

Therefore, the Barge Impact load on the bridge, as per IRC, is 1,745,647.1 kN/m.