Final answer:
The subject is Engineering at the College level. The strain energy in a truss due to an applied force P depends on the material's Young's Modulus, the amount of strain in each member, and the geometry of the truss. A specific numerical answer requires more data about the truss and the load.
Step-by-step explanation:
The question relates to the concept of strain energy in the context of a truss structure in engineering. When a force P is applied to a uniformly-constructed truss (same material and cross-sectional area for every member), the strain energy stored in the truss can be calculated using the principles of tension and compression of materials.
Tension or compression occurs when forces act along the length of an object, either elongating or shortening it, respectively. According to the materials provided, the equation stress = Young's Modulus × strain is used as an analogy to Hooke's law, where stress is analogous to force, and strain is analogous to deformation. The strain energy (U) stored in a member of the truss can be found using the formula:
U = (1/2) × stress × strain × volume
Since stress = Young's Modulus (Y) × strain, and for a uniform cross-section and material, the volume is the cross-sectional area (A) times the length change (AL), the formula can be simplified to:
U = (1/2) × Y × (strain)² × A × AL
In order to find the total strain energy of the truss, one would add up the strain energy of each individual member, considering the direction of forces (tension or compression), the magnitude of the applied force P, and the geometric layout of the truss. Therefore, without specific dimensions and load P values, the true or false question cannot be definitively answered without additional data.