First, this statement is untrue and not in the Bible. The Lord doesn’t put ANYTHING on us. We live in a fallen world and if anything our hardships are from mankind’s own disobedience tracing it back all the way to the garden of Eden.
There’s a quote in the bible similar to it, but there is nothing that says “God will never give you more than you can bear.” The quote that is frequently used to back up the idea, from 1 Corinthians, doesn’t really say what people assume it does:
No temptation has seized you that isn’t common for people. But God is faithful. He won’t allow you to be tempted beyond your abilities. Instead, with the temptation, God will also supply a way out so that you will be able to endure it.
Paul is reminding his readers that God will not allow people to be tempted beyond their abilities. That is, there is no temptation that you should feel you are powerless against, because God would not allow you to be tempted by something you couldn’t resist. If you’re being tempted, in Paul’s thinking, it’s something you are strong enough to resist.
But that is a far different thing from claiming that nothing will happen to you, that you will not have to bear a burden, that you cannot bear. In fact, in addition to that quote not being in the Bible, we can find plenty of quotes that mean the exact opposite that are in the Bible, including one from Paul himself where he writes:
“Brothers and sisters, we don’t want you to be unaware of the troubles that we went through in Asia. We were weighed down with a load of suffering that was so far beyond our strength that we were afraid we might not survive.” (2 Corinthians 1:8)
The Lord is not our oppressor. He is our relief,our savior, and our Father. And if you really think about it, of course we can have more on us than he can handle. If we could handle it, why would we need to call on a savior.
The phrase is a nice one-line tidbit meant to encourage someone in pain but it’s not biblical. People in pain need more than that. They need the added perspective and an ability to cope with what they are facing. They need the loving relief of Jesus.