Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the figure below.
If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3 , the minimum length of the weld required to ensure that the weld does NOT fail is __________ mm (rounded off to 2 decimal places).

A bracket is attached to a vertical column by means of two identical rivets U and V separated by a distance of 2a = 100 mm, as shown in the figure. The permissible shear stress of the rivet material is 50 MPa. If a load P = 10 kN is applied at an eccentricity e = 3√7 a, the minimum cross-sectional area of each of the rivets to avoid failure is ___________ mm2.


