Display shipping class in single product page woocommerce

You can get all of your shipping classes from get_terms().

Example…

$shipping_classes = get_terms(
    array(
        'taxonomy' => 'product_shipping_class', 
        'hide_empty' => false
    )
);

Confirm Data…

echo '<pre>'; print_r($shipping_classes); echo '</pre>';

Use Data…

foreach($shipping_classes as $key=>$value){
    echo $value->slug;
    echo $value->name;
}