Final answer:
Stress in the bronze rods is calculated using the formula σ = F/A, while the elongation due to stress is found with δL = (F⋅L0)/(A⋅E), considering that the rods share the load equally and that the values for force, area, and Young's modulus are known.
Step-by-step explanation:
To calculate the stress in the bronze rods when subjected to the load P, we use the formula for stress, which is σ = F/A, where σ is the stress, F is the force applied, and A is the cross-sectional area of the rods. Assuming both rods share the load equally and the cross-sectional area is known, the force on each rod would be P/2. Substituting the values into the formula provides the stress in each of the bronze rods.
As an example, with a rod supporting a platform, we first calculate the force (F) exerted by the platform's weight using the relation F = m ⋅ g, where m is mass and g is the acceleration due to gravity. The tensile stress (σ) is then found by dividing the force by the cross-sectional area (A) of the rod, giving σ = F/A. The elongation of the rod due to the stress can be calculated by rearranging the equation δL = (F⋅L0)/(A⋅E), where δL is the change in length, L0 is the original length of the rod and E is Young's modulus for the material.