Final answer:
The largest couple m that can be applied to the casting can be determined by calculating the maximum stress in both tension and compression and using the limits provided (13 ksi and 10 ksi) as the maximum allowable stress values.
Step-by-step explanation:
To determine the largest couple m that can be applied to the casting, we need to find the maximum stress that the casting can withstand in both tension and compression. Given that the allowable stress is 13 ksi in tension and 10 ksi in compression, we can use these values as the limits for the stress.
Since the maximum stress in tension is 13 ksi, the largest couple m that can be applied is given by the equation:
m = Stress * Area
where Stress = 13 ksi and Area is the cross-sectional area of the casting on which the couple is applied.