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.

A steel plate, connected to a fixed channel using three identical bolts $$A, B$$ and $$C,$$ carries a load of $$6kN$$ as shown in the figure. Considering the effect of direct load and moment, the magnitude of resultant shear force (in $$kN$$) on bolt $$C$$ is.

A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $$25\,m{m^2}.$$. A torque $$T = 200$$ $$N$$-$$m$$ is acting on the joint. Neglecting friction due to clamping force, maximum shear stress in a bolt is ______ $$MPa.$$