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<?php
//* Do NOT include the opening php tag shown above. Copy the code shown below.

add_filter( 'body_class', 'sk_body_class' );
/**
 * Add "inner" class to 'body' element for inner pages
 * i.e., for all pages other than site's homepage/front page.
 *
 * @author Sridhar Katakam
 * @link   http://sridharkatakam.com/add-inner-body-class-inner-pages-wordpress/
 */
function sk_body_class( $classes ) {
    if ( ! is_front_page() ) {
        $classes[] = 'inner';
    }

    return $classes;
}