Let me just say it: NONSENSE!! People say that's what the Bible says. But it doesn't! And I think it's actually quite the opposite of what the Bible teaches. True, 1 Corinthians 10 says "he will not let you be TEMPTED beyond what you can bear." But I don't believe the Bible teaches that our BURDENS will be limited to what we can bear.
From the beginning of the Bible to the end -- it seems from my reading -- there is ONE THING God asks of us: TRUST. It is why He used a runt named Gideon ... why He chose the scrawny kid named David ... why He called a pride-filled murderer named Paul. Anything they accomplished was not by their own strength or knowledge or wisdom but by GOD'S POWER.
I don't know what you're burdened by today. But I know what I'm facing. And I am thankful for His invitation (1 Peter 5:7): "Cast all your anxiety on him because he cares for you." And I hold on to His promise (Psalm 146:5): "BLESSED is he whose help is the God of Jacob, whose hope is in the Lord his God." So I'm listening to His words of wisdom (Proverbs 3:5-6): "Trust in the Lord with all your heart and lean not on your own understanding; in all your ways acknowledge HIM, and he will make your paths straight."