The linear theory of thermoelasticity without energy dissipation is employed to investigate the disturbance due to inclined line load which is assumed to be a linear combination of a normal load and a tangential load. Laplace-Fourier transforms are applied to the basic equations to form a vector matrix differential equation, which is then solved by using eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically for magnesium-like material for an insulated boundary.