Question

As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distributed load and is supported at points A and B. The beam is constructed from two pieces of steel plate (2 at 80mm x 8mm) that are welded together with 3mm welds. Section properties for the beam are also listed. Given the support reactions as RAv 5.8 kN and RBv 2.2 kN, as well as the shear force and ing moment diagrams, determine 2 kN 1.2kN/m 34mm 4mm Centroid RAv 5.8 kN RB 2.2 kN 80mm In In eld 3.8 kN 8mm Cross Section of Beam SFD (Note: Not to Scale) (in kN) Section Properties of Beam: 2 kN -0.96427 x 10 mm ly-0.39083 x 10° mm 3.167m -2.2 kN Max 42.02 kNm 1.333m BMD (in kNm) mm8mm3mm Expanded Dimensions of Weld 4 kNm Figure 8 The maximum bending stress in the beam, stating where this maximum bending stress occurs along the beam and where within the beam section. Also state whether this stress is of a compressive or tensile nature (a) (b) The maximum shear stress in the beam, stating where this maximum shear stress occurs along the beam and where within the beam section. (c) As the steel beam is to be welded together using 3mm welds, calculate the required shear strength of the weld (in MPa) 6+4+4-14 marks)

Answer 1

in last part shear strength of weld is calculated per unit length of weld as length of weld is not known.
3.8 KNN 1333 6 mn 62mm 26 m Max -

艹.ewm Oc aurin ChenA Ma K İmam chea九 Bmm ヒーラ 62 mm I b 26mn (o-s (0.3642.7%(06) x 8 6 9358 Mfa 26mm fsom o Hom

τ= ון3.og 52 MPa 6