The rubber windshield gasket will also have to be replaced. It has 3 distinct groves--one for the glass, one for the car body, and one for the exterior window chrome.
1954 Chevy winshield chrome
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1954 Chevy windshield chrome
The exterior windshield chrome fits snugly against the car body.
Here it is shown in place, and moved about 1/2 out of place to reveal the channel in the body for the chrome.