Bender elements (BE) are used to generate and measure shear wave velocity in the soil. The advantage of using BE is in its simplicity and ease of use but there is no standard developed for this technique and this might result in uncertainty of the results.
The resonant-column (RC) is a laboratory testing method used for measuring the small strain properties of soils. It is a standardized dynamic laboratory test that can be used to obtain the soil stiffness at small-strain levels. In this test, one shifts the frequency of the input force, gradually, allowing for the resonant frequency(maximum vibration level the load level imposed on the system). When you have the resonant frequency value, it is possible to back-calculate the shear wave velocity of the soil.
The point of difference is that the Bender elements (BE) test is use for measuring the shear wave velocity while The resonant-column (RC) test is used to measure the shear elasticity (shear elastic modulus and damping properties) of soil.