Backpacking and public transport

My wife and I will be in Switzerland for two weeks starting this Thursday June 24th.
We will be traveling moderately light. I will be carrying a 70-liter internal backpack, and my wife will be carrying a daypack about half that size.
We will be traveling by train, bus and foot.

My question is this...
Logistically it won't work to send our packs ahead to our destinations separate from us, so we are hoping to carry our packs on to the train sand buses with us.
Is this something that is commonly done?
Are there places on the trains and buses to stow packs like this?

Hi impresently,

Yes, this is commonly done in Switzerland. As far as I know you will have no problems at all traveling with your packs using public transportation. Many buses have a compartment for luggage that can be reached from the outside by the bus driver, and in trains you can stow your packs most of the times in or near the entrance of the railway car.
Many paragliders use public transportation too, and their packs are rather big.
Switzerland is a safe country to travel, so you don't have to worry about stowing your gear in a place where you can't actually see it.
Have a nice time!