Problem# 1. A cantilever beam made of IPE200 is subjected to a concentrated live load of 10 KN (PL=10 kN) in addition to its self-weight, WD-3 kN/m, as shown below. (a) Find design flexural strength, Mn, considering plastic hinge formation limit state only and check if the beam has enough capacity to support factored loads. Use LRFD. (b) Check if the beam has sufficent shear strength. Use ASD.

A 6.1 m long steel column is fixed at its base and pinned at the top end. The cross section is a W360×57. The steel has a yield strength oy = 250 MPa. a) Determine the critical load, Per b) What is the maximum column length to ensure failure due to yielding instead of buckling?

A lightly welded steel beam shown in Figure 5 is continuously supported along its length. A downward concentrated load of 4P acts at Point C, and two downward concentrated loads P act at Points A and E. The beam with full lateral restraint is bent about its major principal x-axis. Determine the followings: a. Section type based on section slenderness; b. Effective section modulus; c. The maximum design value of P. A k B fu 6 m d tw bf 6 m tf 4P d bf tw tf = - = fyf= fyw 6 m D um * 550 mm 206 mm 6 mm 10 mm 320 MPa = 340 MPa Zx=1362985 mm³ Sx 1533750 mm³ Figure 5 Steel beam under design loads. 6 m P E

Figure 1 shows the cross-section of a heavily welded I-section steel column under axial compression. The yield stress of the steel section is 300 MPa. (a) Check the slenderness of the flanges and webs. (b) Determine the effective and gross areas of the cross-section. (c) Determine the design axial capacity of the cross-section. 380 E 10 425 -8 Figure 1. Cross-section of the rectangular hollow section steel column (Units: mm)