Creative Analysis of a 7-Truss Structure
Area = 3 in^2
F = Stress x Area
To determine the maximum load P that can be applied to a 7-truss structure without exceeding the maximum stress value, we need to first calculate the force (F) acting on the truss members. For the horizontal and vertical trusses with a cross-sectional area of 3 in^2, the force (F) can be calculated as follows:
F = Stress x Area
F = 30 Msi x 3 in^2
F = 90 lbf
Therefore, the maximum force that can be applied to the horizontal and vertical trusses without exceeding the maximum stress value is 90 lbf. Now, let's calculate the maximum load P that can be applied to the truss structure:
Since all horizontal and vertical truss members are 5 ft in length, the maximum load P can be determined using the formula:
P = F x L
P = 90 lbf x 5 ft
P = 450 lbf
Therefore, the maximum load P that can be applied to the 7-truss structure without exceeding the maximum stress value is 450 lbf.