A uniform beam is simply supported over a span of 6 m. It carries a trapezoidally distributed load with intensity varying from 30 kN/m at the left-hand support to 90 kN/m at the right-hand support. Find the equation of the deflection curve and hence the deflection at the mid-span point. The second moment of area of the cross section of the beam is 120x10° mm* and Young's modulus E= 206 000 N/mm². Ans. 41 mm (downwards).