Strength is relative to dimension. A kevlar strap can lift a 10,000lb coil of steel under tension, but can be pushed and molded by your fingers.
The wing of an airplane is strong because of its structure. Most of the strength of an object comes from how force is distributed along its 'skin.' Take a newspaper and wrap it around a honeycomb. Resin flow the fibers of the newspaper.
You can have an incredibly strong object that can support a person walking on it, but is very light and will not withstand impact with a concrete wall. Much like fiberglass or carbon fiber composites.