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- Statics Revision Questions
Q1 A 22 mm diameter, 300 mm long low carbon steel tension rod is subjected to an axial tensile load of 30 kN. The modulus of elasticity (E) for the steel is 210 GN/m2. i) Calculate the tensile stress set-up in the tension rod. [3] ii) Determine the extension of the rod due to the applied force. [3] iii) If a temperature change of 45oC takes place, calculate the free thermal expansion of the bar if the coefficient of linear expansion is 12x10-6/oC. [3]
Q2 A simply-supported beam ABCDE is supported at A and E and is loaded at B, C and D as shown in Figure Q2(a). The beam has the cross-section shown in Figure Q2(b).
i) Calculate the magnitude of the reactions at A and E [4] ii) Sketch the shear force and bending moment diagrams for the beam, indicating all significant values. [6] iii) Determine the coordinates of the beam cross section centroid. [3] iv) Determine the second moment of area about the neutral axis (NA) XX for the beam cross-section. [3] v) Determine the maximum bending stress set-up in the beam. [2]