Work machine and method for controlling work machine

A control method for a work machine including an engine, a travel drive system including a transmission connected to the engine, a work implement, and an apparatus drive system including a hydraulic pump that is driven by the engine and discharges hydraulic fluid to be supplied to the work implement, the control method comprising:

• acquiring an operating amount of a work implement operating member;
• controlling the apparatus drive system in accordance with the operating amount of the work implement operating member;
• acquiring an operating amount of an accelerator operating member;
• determining a target tractive force of the travel drive system based on the operating amount of the accelerator operating member;
• determining an allowable acceleration of the work machine;
• determining an upper limit of tractive force of the travel drive system based on the allowable acceleration;
• correcting the target tractive force so as to be equal to or less than the upper limit of tractive force when the target tractive force is greater than the upper limit of tractive force;
• and
• controlling the travel drive system based on the corrected target tractive force.