The code bellow is how the <body> element should look like in your theme (located in header.php).
<body <?php body_class(); ?>>
So, since you can’t simply put another class=’your classes’ to the <body> here is a way to add more classes to the body_class() function. The code bellow goes to your functions.php file located in your theme folder.
add_filter('body_class','additional_body_classes');
function additional_body_classes($classes) {
$classes[] = 'class-i-need';
$classes[] = 'another-additional-class';
$classes[] = 'third-class';
return $classes;
}
If you want to read more about body_class() you can take a look at this (quite old) post by wpengineer.com
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What you suggest is useful, but the easiest way to add body classes is just by adding them as an argument, like this:
body_class(‘myclass my-other-class’);
I agree with Daniel, i guess this was meant for older wordpress versions?