Hand radical/ soil radical

I have noticed the hand radical is called 提手旁 ti2shou3pang2 when it is placed on the right or left side in a character. ti2 means to carry in the hand and ti2shou3 means a handle. All good.

But what about 提土旁 ti2tu3pang2? What's the point using ti2 here?

http://www.chinese-tools.com/learn/calligraphy/radical/236/titupang.html