A 6m long beam with simply supported ends is required to support a moving point

load of 15 tonnes. The section for the beam is shown in Figure 1 and is manufactured

from mild steel having a tensile yield strength of 425MN/m’. The beam support

arrangement is shown in Figure 2. A side plate is bolted to each side of the beam by

two bolts of diameter D1. The bolts have a tensile yield strength of 375MN/m’ and

the plates a tensile yield strength of 215MN/m’. The side plates intum are supported

in a cradle as shown via a hinge pin having a diameter D2 having a tensile yield

strength of 275 MN/m’. The entire structure is required to have a factor of safety of

3.0.

You are required to produce a design that meets the specification given:

• Beam Dimensions W, Hand T, where H=2W and T=W/20

• Bolt Size D1

• Side Plate thickness T2 and width W2

• Cradle Plate thickness T3 and width W3

• Hinge Pin Diameter D2