I don't know if the pressures are greater than with previous generations or simply different. In the past children had to deal with fathers being out of work and no benefits to fall back in to feed the family, or fathers away at war, getting killed. Death was quite common and hunger and poverty was rife. Children were sent out to work at much earlier ages and a lot was expected of them.
Communication, radio, TV, social media are creating a new kind of pressure. As is the education system and modern expectations.
One of the best things we can teach our children or grandchildren is resilience. I once remember the lecturer in my 'A' level psychology class saying that part of a parents job is to put their child under stress, small stresses, such as saying 'no' when they're young and other stresses (such as standing up to their teenage angst or demands) when they are older, thus teaching them to deal with it in a supportive, loving environment.