Mechanical Engineering Mathematical Exam Questions (Strength of Materials, Part-1)

    ➤ A member of cross-sectional area 10 cm² is subjected to an axial load of 10,000 N. A plane makes an angle of 30⁰ to the cross section. The normal stress on this plane. (see solution)

    ➤ A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be? (see solution)

    ➤ Two principle tensile stresses of magnitudes 400 N/cm² and 200 N/cm² are acting at a point across two perpendicular planes. An oblique plane makes an angle of 30⁰ with the major principle plane. The normal Stress on the oblique plane will be? (see solution)

    ➤ A body is subjected to a direct tensile stress of 300 N/cm² in one plane accompanied by a simple shear stress of 200 N/cm². The maximum normal Stress will be?  (see solution)

    ➤ A body is subjected to a direct tensile stress of 300 MPa on one plane accompanied by a simple shear stress of 200 MPa on the same planes. The maximum normal stress will be? (see solution)

    ➤ A metal pipe of 1 m diameter contains a fluid having a pressure of 1 N/mm². If the permissible tensile stress in the metal is 20 N/mm². Then the thickness of the metal required for making the pipe will be?  (see solution)

    ➤ A body is subjected to a tensile stress of 1200 N/cm² on one plane and a tensile stress of 600 N/cm² on the other right angled plane together with shear stresses of the 400 N/cm² on the same planes. The maximum normal stress, minimum normal stress & maximum shear stress will be? (see solution)

    ➤ A pipe of internal diameter as 40 cm and external diameter as 80 cm contains a fluid at a pressure of 750 N/cm². The maximum circumferential stress would be?  (see solution)

    ➤ A steel rod of 1 cm² in cross-sectional area and 100 cm long is subjected to an axial pull of 2000 Kgf. Find the elongation of the rod, considering E=200 GPa.  (see solution)

    ➤ A cylindrical thin drum 80 cm in diameter and 3 m long has a shell thickness of 1 cm. If the drum is subjected to an internal pressure of 25 N/cm², then the hoop & longitudinal stress would be? (see solution)