Final answer:
To determine the average normal and shear stress resisted in the plane of the weld, you can use the equations for normal stress and shear stress.
Step-by-step explanation:
The average normal stress resisted in the plane of the weld can be determined using the equation for normal stress, which is given by:
σ = F/A
Where σ is the normal stress, F is the force applied perpendicular to the weld, and A is the cross-sectional area of the weld. Since the two steel members are joined together using a 30° scarf weld, the force applied perpendicular to the weld is equal to the force applied parallel to the cross-sectional area of the weld. Therefore, the average normal stress is equal to the force divided by the cross-sectional area of the weld.
The average shear stress resisted in the plane of the weld can be determined using the equation for shear stress, which is given by:
τ = F/A
Where τ is the shear stress, F is the force applied perpendicular to the weld, and A is the cross-sectional area of the weld. Since the two steel members are joined together using a 30° scarf weld, the force applied perpendicular to the weld is equal to the force applied parallel to the cross-sectional area of the weld. Therefore, the average shear stress is equal to the force divided by the cross-sectional area of the weld.