At the onset of division, the cell forms a network of protein filaments, mitotic spindle, which divides genetic material between the two nascent daughter cells. It is known that protein filaments, microtubules, behave as elastic objects. Forces that govern the division are exerted by k-fibres, bundles of microtubules which end at the kinetochores, protein complexes which mechanically couple microtubules to the chromosomes. Although forces that exist in mitotic spindle have been studied thoroughly, how they are balanced still remains elusive. It is known that nonkinetochore microtubules exist between the sister pairs of kinetochores, which we term bridging microtubules. We have developed a model that includes k-fibres and bridging fibre, as well as forces and torques acting between them. We have modelled the microtubule bundles as slender elastic rods that undergo bending and torsion due to the forces and torques exerted at its ends. By using our model and known shape of microtubule bundles, we can infer the forces and torques that are present in mitotic spindle. We have compared shapes obtained from theory and experiment, and predicted that the force at kinetochore is Fk ~ 300 pN and the force at pole is F0 ~ 30 pN. By using a theoretical model that includes the bridging fibre, we explained the coexistence of the tension at kinetochores and compression at poles, which has been an open question for a few years now. In addition, we show that mitotic spindle is chiral, and that torques acting on the bridging and k- fibres spindle are responsible for chiral shapes of microtubule bundles. We conclude that, in addition to forces, torques that are generated by the motor proteins exist in the spindle and determine its architecture.