It has been a known fact in classical mechanics of materials that Youngs modulus is an indicator of material stiffness and materials with higher Youngs modulus are more stiff.At the nanoscale, within the scope and under specific circumstances described here, however, a nanorod (or a nanotube) with a smaller Youngs modulus (smaller stress-strain rate) is more stiff.In such a scenario, Youngs modulus is not a stiffness indicator for nanostructures.Furthermore, the nonlocal stress-strain rate is dependent on types of load, boundary conditions and location.