Hey there Brandon,
Welcome to planDisney and thanks so much for this question! A stop at the Happiest Place on Earth is such a great way to take a break after a long time on the road.
I'm happy to share that the
Toy Story Parking Area does accommodate oversized vehicles - including tractor-trailers. You'll just need to make sure to follow the signs for oversized vehicle parking from South Harbor Boulevard, West Katella Avenue, or South Haster Street.
It sounds like you're planning on stopping by for part of the day, but I did want to point out as well that accommodations for overnight parking are not available. As of the time that I'm answering your question, it costs $45 USD to park in this area with a tractor-trailer, but parking is subject to availability and prices may change without notice.
When first reading your question, I immediately thought of Mack from the Cars movies - my son's favorite! During your trip, make sure to stop by
Cars Land to meet Lightning McQueen, Mater, and take a ride on
Radiator Springs Racers. This is one of my favorite areas in all Disney parks - every detail is absolutely amazing!
Thanks again for your question, Brandon. I hope you enjoy your trip to the Disneyland Resort.
Have a Magical Day,
Greg