Nothing contained in this chapter shall require any change in the plans, construction, or designated use of a building complying with existing law, a permit for which shall have been duly issued and the construction of which shall have been started before the effective date of this chapter, and the ground story framework of which, including the second tier of beams, shall have been completed within six months of the date of the permit, and which entire building shall have been completed in accordance with such plans as have been filed within one year from the effective date of this chapter.