A rectangular-section steel beam, 50 mm wide by 20 mm deep, is used as a simply supported beam over a span of 2 m with the 20 mm dimension vertical. (a) Determine the value of the central concentrated load which will produce initiation of yield at the outer fibres of the beam. (b) If the central load is then increased by 10% find the depth to which yielding will take place at the centre of the beam span. Assume yield stress of steel = 225 MPa and elastic modulus E = 210 GPa