Final answer:
In this question, we are asked to determine the total moment of inertia of the beam, calculate the shear force at a specified location, analyze the deflection of the beam under loading, and determine the maximum bending stress in the plates.
Step-by-step explanation:
a) To determine the total moment of inertia of the beam, we need to calculate the moment of inertia of each component (tees and plates) and then add them together. The moment of inertia of a tee can be calculated using the formula I = (b1 * h1^3 + b2 * h2^3) / 12, where b1 and b2 are the widths of the flanges, and h1 and h2 are the heights of the flanges.
The moment of inertia of a plate can be calculated using the formula I = (b * h^3) / 12, where b is the width of the plate and h is the height of the plate. Once we have calculated the moment of inertia for each component, we can add them together to find the total moment of inertia of the beam.
b) To calculate the shear force at a specified location, we need to analyze the forces acting on the beam. Shear force is a result of vertical forces acting on the beam. By considering the equilibrium of forces at the specified location, we can determine the magnitude of the shear force.
c) To analyze the deflection of the beam under loading, we need to use the principles of structural analysis. By considering the external loads applied to the beam, we can calculate the bending moment and the deflection of the beam at the specified location.
d) To determine the maximum bending stress in the plates, we need to calculate the bending moment at the specified location and then divide it by the moment of inertia of the plate. Bending stress can be calculated using the formula stress = (M * c) / I, where M is the bending moment, c is the distance from the neutral axis, and I is the moment of inertia.