Section A
Q1.
(a) A force of 100 N is directed along the line that is drawn from the point A(5, 2, -1) m to the point B(3, -4, 7) m. Determine the moment of this force about the 'z'-axis.
(b) If two pieces of materials 'A' and 'B' have the same bulk modulus, but the value of Modulus of Elasticity for 'B' is 1% greater than that for 'A'. find the value of Modulus of Rigidity for the material 'B' in terms of Modulus of Elasticity and Modulus of Rigidity for material 'A'.
(c) A cantilever beam 'AB' of length 4 m is subjected to a concentrated load of 2 kN and a couple of 0.5 kNm acting at the free end as shown in the figure below. Determine the slope and deflection at the free end using Moment Area Method.
(d) A simply supported beam of a beam and slab system, rests on a support of width 380 mm. The clear span of the beam is 10.5 m. The thickness of the slab is 125 mm. The width of the beam is 250 mm and the depth of the beam below the slab is 475 mm. The beam is reinforced with one row of 25 mm diameter steel reinforcements of grade Fe 415. The total load including the superimposed dead load, live load and its own weight is 35 kN/m at service stage. Compute the maximum ultimate design shear stress in concrete.
(e) The diameter of a ring beam in a water tank is 12.5 m. It is subjected to an outward radial force of 25 kN/m. Design the section using M 25 grade of concrete and Fe 415 steel. Take m = 11 and the allowable stress in concrete in tension is 1.2 N/mm^2.