Question 3 Compute the surface deflections of a semiinfinite

Question #3 Compute the surface deflections of a semi-infinite elastic space under a point load of 50 kN at radial offset of 0.1 and 0.75 m. Given, E = 135 MPa and = 0.45 Question #4

Solution

Solution:-

Given

E = 135 MPa

µ = 0.45

Radial offset (r) = 0.1 m and 0.75 m

Point load (P) = 50 kN

Surface deflection = P(1 - µ² )/( E r)

At radial offset (r ) = 0.1 m

Surface deflection = 50*10³ * (1 – (0.45)² )/( *135 * 0.1 * 10³ )

                                 = 0.94 mm   Answer

At radial offset ( r) = 0.75 m

Surface deflection = 50 *10³ * (1 – (0.45)²)/( * 135 * 0.75 *10³ )

                                  = 0.125 mm   Answer