More and more gyms nowadays carry at least a few strongman implements
but if yours does'nt and buying your own is'nt in the cards then here
are a few ways to train.

Farmers walk- use dumbbells and find a good space to walk back and
forth with (use a bench to pick them up off of if your back is an
issue).

Farmers hold- again use dumbbells but hold them for time standing
still.(use a bench to pick them up off of)

Deadlifts-every style

Squats- every style

Trap bar- great for deadlifts and shrugs

Shrugs- use barbell, dumbbells or trap bar

Overhead press- use a barbell on a squat rack or on a gun rack and
practice doing push presses and split jerks (you can also use a fat
bar if you have access to one.

Clean and Jerk- practice cleaning and then utilize a rack to practice
pressing

Grip work- utilize everything from fat bars,grippers,blobs or you can
pick up a hex style dumbbell from one end and hold for time.

More to come!