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The Design of Modern Steel Bridges - TEDI

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where r is the air density ¼ 1.226 kg/m 3 , V c is the gust speed in m/s, A p is the<br />

plan area in m 2 , and C L is the lift coefficient.<br />

For bridges with deck superelevation up to 1 , C L is 0.4 for b/d ratio up to 7<br />

and 0.15 for b/d ratio greater than 16, with a linear variation in between; for<br />

superelevation between 1 and 5 , C L is 0.75.<br />

A combination <strong>of</strong> full transverse and vertical loading due to wind is considered,<br />

but full longitudinal loading is considered in combination with half the<br />

transverse and vertical loading.<br />

<strong>The</strong> American bridge loading proposals[8] are similar to, but probably not as<br />

detailed as, the British loading. <strong>The</strong> transverse wind loading on the full area in<br />

elevation is stipulated as<br />

Z0:2V 2 30CD lb=ft<br />

600<br />

2<br />

where Z is the height in feet <strong>of</strong> the bridge deck surface above ground or water<br />

level but not less than 30 ft, V 30 is the 100 year return fastest mile wind speed<br />

in miles per hour at the 30 ft height and can be obtained from the map <strong>of</strong><br />

isotachs or preferably from local wind data, and CD is the drag coefficient and<br />

is specified as 1.5 for plate or box girder bridges and 2.3 for truss bridges<br />

unless a lower value is justified by wind tunnel tests. When a live load is<br />

present on the bridge, a vertical surface <strong>of</strong> 10 ft height, less the area shielded by<br />

solid parapets, is included in the total area in elevation, C D is specified as 1.2<br />

on this part, and V 30 is limited to 55 mile/h. <strong>The</strong> vertical wind load on the plan<br />

area <strong>of</strong> the bridge is stipulated as<br />

Z0:2V 2 30CL lb=ft<br />

600<br />

2<br />

Loads on <strong>Bridges</strong> 67<br />

where CL is the lift coefficient specified as 1.0.<br />

<strong>The</strong> above two proposed formulae for wind load are based on the following<br />

assumptions:<br />

(1) <strong>The</strong> maximum gust speed is approximately 1.6 times the mean hourly<br />

wind speed, but because <strong>of</strong> the incoherence <strong>of</strong> gusts along the whole<br />

length <strong>of</strong> the bridge the gust speed is reduced to 1.41 times the mean<br />

hourly speed.<br />

(2) At heights above 30 ft the gust speed is assumed to increase according to<br />

the 1/10th power <strong>of</strong> height.<br />

(3) <strong>The</strong> mean hourly wind speed is 0.8 times V 30, the fastest mile wind speed<br />

at 30 ft, in which form the wind speed is recorded in the USA.<br />

(4) <strong>The</strong> maximum gust speed, unlike the mean hourly speed, is relatively<br />

insensitive to terrain condition.<br />

At 30 ft height and V 30 ¼ 100 mile/h, the new formulae give very similar<br />

wind loads to the current AASHTO values, but for other heights and locations<br />

the new values will obviously be different. At Z ¼ 30 ft and V 30 ¼ 80 mile/h,

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