The linkage is made of three pin-connected a-36 steel members, each having a cross-sectional area of 0.75 in2, determine the magnitude of the force p needed to displace point b 0.10 in. downward.

A-mn has a cubic structure with a0 0.8931 nm and a density of 7.47 g/cm3. b-mn has a different cubic structure, with a0 0.6326 nm and a density of 7.26 g/cm3. the atomic weight of manganese is 54.938 g/mol and the atomic radius is 0.112 nm. determine the percent volume change that would occur if a-mn transforms to b-mn.