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Q1A simply supported beam has a concentrated downward force P at a distance of a from the left support, as shown in the figure below. The flexural rigidity EI is constant. Find the equation of the Elastic Curve by successive integration. [5 Marks] Q2Determine the rotations at A and B due to an applied moment MB on the beam, as shown in the figure below. Use the Method of Virtual Work. [4 Marks]# Q3Find the strain energy stored per unit volume for the materials listed below when they are axially stressed to their respective proportional limits. MaterialProportional Limit (N/mm2)Modulus of Elasticity Proportional Limit (N/mm2)Mild Steel2472.06 x 105Aluminium4127.20 x 104Rubber2.062.06 [3 Marks] Q4As shown in the figure below, find the downward deflection of the end C caused by the applied force of 2 kN in the structure. Neglect deflection caused by shear. Let E = 7 x 107 kN/m2. [5 Marks] Q5For the loaded beam, as shown in the figure below, determine the magnitude of the counter weight Q for which the maximum absolute value of the bending moment is as small as possible. If this beam section is 150 mm x 200mm, determine the maximum bending stress. Neglect the weight of the beam. [5 Marks] Q6A wooden beam with sectional dimensions of 150 mm x 300 mm, carries the loading as shown in the figure below. Determine the maximum shearing and bending stress for the beam. [6 Marks] Q7For the box beam shown in the figure below, determine the maximum intensity w of the distributed loading that can be safely supported if the permissible stresses in bending and shear are 10 N/mm2 and 0.75 N/mm2 respectively. [5 Marks] Q8A beam of rectangular section 450 mm wide and 750 mm deep has a span of 6 metres. The beam is subjected to a uniformly distributed load of 20 kN per metre run (including the self-weight of the beam) over the whole span. The beam is also subjected to...
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May 29 2018