<p>Besides the most basic loading forms of tension and compression, some other inportant forms of bending, torsion and shearing are also very common forms for engineering materials. Foam metal is an excellent engineering material with dual properties of function and structure, which may be subject to bending, torsional and shearing loads when it is used as an engineering component. On the basis of the mechanical relationship from the octahedral model theory, the mechanical properties of metal foams are further investigated under these loading forms. The mechanical relations are put forward to directly calculate the bending strength, torsional strength and shearing strength of metal foams, respectively. The involved porous structures are related to both the reticular pores and the cellular pores. Based on these works, the practical application of the model theory is further explored to the calculation of mechanical strength of metal foams with different structures. The researches found that the mechanical relation from the octahedral model theory is suitable for calculating the mechanical strength of both reticular metal foam products and cellular metal foam products, with a good practical application.</p>