later Uh the rod, which is at aioinm the end in contact with the x-axis5. A beam is supported at its ends by supports which are 12 m apart.Since theload is concentrated at its centre, there is a deflection of 3 cm at the centre.and the deflected beam is in the shape of a parabola. How far from thecentre is the deflection 1 cm?

later Uh the rod, which is at aioinm the end in contact with the x-axi

1.	later Uh the rod, which is at aioinm the end in contact with the x-axis5. A beam is supported at its ends by supports which are 12 m apart.Since theload is concentrated at its centre, there is a deflection of 3 cm at the centre.and the deflected beam is in the shape of a parabola. How far from thecentre is the deflection 1 cm?
Answer» Since the axis of parabola isyaxisSo, let the equation of parabola bex2= 4ayalso R is the mid point of PQRQ=PQ/2 =6m =600 cmand OR = 3 cm∴ Coordinates of Q are (600, 3)⇒ (600)2= 4a× 3⇒a= 30000⇒x2= 4 × 30000y= 120000yLet the deflection is 1 cm of a distancexcm from the vertex i.e. origin (0, 0)∴ BC = AC – AB = 3 – 1 = 2 cmNow B (x, 2) lies on the parabola⇒x2= 120000 × 2 = 240000x= 200 root 6 cm = 2 root 6 cmHence, the deflection is 1cm at a distance of 2 root 6 m from the centre