At a particular point in a structural member a direct tensile stress of 60 N/mm² exists on a plane perpendicular to the longitudinal axis of the member while a direct compressive stress of 40 N/mm? occurs on a plane parallel to this axis; in addition shear and complementary shear stresses of 50 N/mm? act on these planes. If Young's modulus E is 200000 N/mm² and Poisson's ratio v is 0.3 calculate the direct and shear strains on these planes and hence, using a graphical method, determine the principal strains at the point, the maximum shear strain and the angle the plane of maximum principal strain makes with the longitudinal axis of the member. Finally, calculate the principal stresses at the point. Ans. E= 3.6x104, ɛ, = -2.9x104, Yy=6.5x10-4 ɛ1 = 4.95x10, 01 = 80.8 N/mm², o1=-60.8 N/mm2. Ɛ11 =-4.25x10 Ymax=9.2x10-, 67.5°

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Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.