What is the maximum total service load that the beam can

Question

Problem 1

A simply supported beam shown below has to carry the following loads: q_G = 3 KN/m ,  q_Q = 2 KN/m , P_G = 500 KN P_Q = 400 KN , Select the appropriate section to carry the design loads. Use S235 steel. Use only the central location to check your design. For serviceability, calculate the maximum and variable load deflections at mid-span: The controlling load combination is: q_ED=1.35⋅_qG +1.5⋅_qQ
P_ED =1.35⋅ _PG +1.5⋅ _PQ

Problem 2:

The connection below is a moment connection using bolts that connect a beam (IPE240) with an end plate to the flange of a column (HEA200) as shown. The bolts are M16 grade 8.8. The shear plane of the bolts passes through the threaded portion (Use tensile steel area).

(a) For the connection shown find the minimum distance h2 required from the center of rotation to resist an applied design shear VEd = 140 kN and a design moment MEd = 45 kN m.
(b) How does the connection fail based on your calculations?

Problem 3:

The beam below is made from an IPE 240. Member is made from S450 steel

(a) What is the maximum design load PED the beam can support at the ultimate limit state?

(b) What is the maximum total service load that the beam can support at the ultimate limit state if deflections control the design? Maximumtotaldeflectionallowedisequalto L/200.