(Solved): The elastomeric bearing pad shown below is capped with a steel plate that supports a bridge girder. ...

The elastomeric bearing pad shown below is capped with a steel plate that supports a bridge girder. Under maximum service (allowable) load, the girder exerts a $400\mathrm{kN}$ force on the bearing. Determine dimension b so that the factor of safety against bearing failure of the elastomeric pad is 1.5 . Thermal expansion and contraction of the girder of $\pm 5\mathrm{mm}$ in the $x$-direction imposes shearing strain on the elastomeric pad. Determine the minimum thickness $t$ so that the factor of safety for shear failure of the elastomeric pad is 1.5 . Material properties of the elastomeric pad: ${?}_{\text{fail }}=7\mathrm{MPa};{?}_{\text{falt }}=15\mathrm{MPa};E=190\mathrm{MPa};$