In a large mixing bowl, cream together the butter and sugar using an electric mixer until light and fluffy.
Add the eggs one at a time, beating well after each addition. Then mix in the vanilla extract. In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the flour mixture to the butter mixture in three parts, alternating with the evaporated milk, starting and ending with the flour mixture. Mix until just combined, being careful not to overmix.