A 12.0 metre long, simply supported, Grade 300 beam is to be designed to support

Question

A 12.0 metre long, simply supported, Grade 300 beam is to be designed to support the following ultimate actions: 10.0 kN/m UDL + 50kN point load at midspan There will be a lateral restraint at midspan. The beam is connected to adjacent support structures by web side plate connections which can be considered to provide full torsional and lateral restraint at each end of the member, but which provide no restraint against rotation in plan. a) Determine the design actions that the beam will need to be designed for. b) Determine the effective length of the beam. c) Use the Design Capacity Tables (DCT) to select a standard Grade 300 UB or WB section to support the loads. (Select the lightest suitable section). Section capacity, member capacity, shear capacity, and combined shear and bending should be considered. Serviceability does not need to be considered at this stage. Due to construction constraints, it will be necessary to have a splice connection at 4.0 metres from the left hand end. Determine the design actions that the splice connection will need to be designed for (M* and V*).

Explanation / Answer

consider Partial factor of safty is 1.5 for combined action

maximum bending moment = 1.5( wL2/8 +W*L/4) = 1.5*(10*122/8+50*12/4)= 1.5*180 KN-m =270 KN-m

maximum shear force = 1.5*(12*10+50)/2 =85*1.5= 127.5KN

b)

effective length of beam = L+ D/2 = 12+0.3/2= 12.15 m

c)

please see the respective design table for 270 KN-m moment

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