Week 9 Challenge

Given values:

Maximum crest elevation (H) = 3 m

Vertical wave coefficient (Cva) = 3

Horizontal wave coefficient (r) = 5

Reflection coefficient (Cr) = 0.4

Bridge superstructure components:

1. Deck slab:

• Width of deck slab = 9 m
• The thickness of the deck slab = 2 m

2. I Girders:

• Height of each I Girder = 1.7 m
• Top and bottom flange width = 2.5 m
• The thickness of flange and web = 500 mm (0.5 m)

Bridge dimensions: Span of the bridge = 12 m

Step 1: Calculate the wave load on the deck slab

Wave Load on Deck slab = (Cva * r * H) * (1 - Cr) = (3 * 5 * 3) * (1 - 0.4) = 45 * 0.6 = 27 kN/m²

The wave load on the deck slab is 27 kN/m².

Step 2: Calculate the wave load on the I girders

Wave Load on I Girders = W_deck_slab * (width of deck slab / span of bridge) = 27 * (9 / 12) = 20.25 kN/m

The wave load on the I girders is 20.25 kN/m.

Step 3: Calculate the wave load on the flanges of the I girders

For the top flange:

Wave Load on top flange = Wave Load on I Girders * (top flange width / width of deck slab) = 20.25 * (2.5 / 9) = 5.625 kN/m

The wave load on the top flanges of each I girder is 5.625 kN/m.

For the bottom flange:

Wave Load on bottom flange = Wave Load on I girders * (bottom flange width / width of deck slab) = 20.25 * (2.5 / 9) = 5.625 kN/m

The wave load on the bottom flanges of each I girder is 5.625 kN/m.

Step 4: Calculate the wave load on the web of the I girders

Wave Load on web = Wave Load on I Girders * (I girder height / width of deck slab) = 20.25 * (1.7 / 9) = 3.825 kN/m

The wave load on the web of each I Girder is 3.825 kN/m.

Summary of wave loads on the bridge superstructure:

• Wave load on the Deck Slab: 27 kN/m²
• Wave load on the I Girders: 20.25 kN/m
• Wave load on the Top Flanges: 5.625 kN/m
• Wave load on the Bottom Flanges: 5.625 kN/m
• Wave load on the Web: 3.825 kN/m

These values represent the wave load exerted on the different components of the bridge superstructure based on the given parameters and dimensions.