这句话完整来说,应该是:不管(生活)再苦再累,他都会当家里的顶梁柱。
所以可以翻译成这样:No matter how hard the life would be, he will always be the (backbone) of the family.
其中backbone=pillar=mainstay。它们中的任意一个都可以。
Regardless of when he would再苦再累pillar home
Regardless of how hard and tired it is, he will be the pillar of his familay.