function woocommerce_ajax_update_shipping_method()
{
    global $woocommerce;
    check_ajax_referer('update-shipping-method', 'security');
    if (isset($_POST['shipping_method'])) {
        $_SESSION['_chosen_shipping_method'] = $_POST['shipping_method'];
    }
    $woocommerce->cart->calculate_totals();
    woocommerce_cart_totals();
    die;
}

/**
 * AJAX update shipping method on cart page
 *
 * @access public
 * @return void
 */
function woocommerce_ajax_update_shipping_method()
{
    global $woocommerce;
    check_ajax_referer('update-shipping-method', 'security');
    if (!defined('WOOCOMMERCE_CART')) {
        define('WOOCOMMERCE_CART', true);
    }
    if (isset($_POST['shipping_method'])) {
        $woocommerce->session->chosen_shipping_method = $_POST['shipping_method'];
    }
    $woocommerce->cart->calculate_totals();
    woocommerce_cart_totals();
    die;
}

 /**
  * AJAX update shipping method on cart page
  */
 public static function update_shipping_method()
 {
     check_ajax_referer('update-shipping-method', 'security');
     if (!defined('WOOCOMMERCE_CART')) {
         define('WOOCOMMERCE_CART', true);
     }
     $chosen_shipping_methods = WC()->session->get('chosen_shipping_methods');
     if (isset($_POST['shipping_method']) && is_array($_POST['shipping_method'])) {
         foreach ($_POST['shipping_method'] as $i => $value) {
             $chosen_shipping_methods[$i] = wc_clean($value);
         }
     }
     WC()->session->set('chosen_shipping_methods', $chosen_shipping_methods);
     WC()->cart->calculate_totals();
     woocommerce_cart_totals();
     die;
 }

		<?php 
do_action('woocommerce_after_cart_contents');
?>
	</tbody>
</table>

<?php 
do_action('woocommerce_after_cart_table');
?>

</form>

<div class="cart-collaterals">

	<?php 
do_action('woocommerce_cart_collaterals');
?>

	<?php 
woocommerce_cart_totals();
?>

	<?php 
woocommerce_shipping_calculator();
?>

</div>

<?php 
do_action('woocommerce_after_cart');

 /**
  * AJAX receive updated cart_totals div.
  */
 public static function get_cart_totals()
 {
     if (!defined('WOOCOMMERCE_CART')) {
         define('WOOCOMMERCE_CART', true);
     }
     WC()->cart->calculate_totals();
     woocommerce_cart_totals();
     die;
 }

 /**
  * AJAX receive updated cart_totals div.
  */
 public static function get_cart_totals()
 {
     wc_maybe_define_constant('WOOCOMMERCE_CART', true);
     WC()->cart->calculate_totals();
     woocommerce_cart_totals();
     die;
 }

					</div>
				<?php } ?>

				<input type="submit" class="button btn btn-default" name="update_cart" value="<?php _e( 'Update Cart', 'woocommerce' ); ?>" />

				<?php do_action( 'woocommerce_cart_actions' ); ?>

				<?php wp_nonce_field( 'woocommerce-cart' ); ?>
			</td>
		</tr>

		<?php do_action( 'woocommerce_after_cart_contents' ); ?>
	</tbody>
</table>

<?php do_action( 'woocommerce_after_cart_table' ); ?>

</form>

<div class="cart-collaterals">

	<?php do_action( 'woocommerce_cart_collaterals' ); ?>

	<?php woocommerce_cart_totals(); ?>

</div>

<?php  do_action( 'woocommerce_after_cart' ); ?>