Mechanical Engineering - Structural Analysis Homework Solutions

This document presents a comprehensive solution to a structural analysis homework assignment, encompassing four distinct tasks. Task 1 focuses on the analysis of structural members using Bow's notation and graphical methods, determining the magnitude and nature of reactions and forces within the structure. Task 2 delves into the analysis of a hollow alloy beam, calculating initial stress, strain, thermal stress, and resultant stress under applied loads and temperature changes, while also analyzing the bending moments and shear forces in a simply supported beam. Task 3 investigates a beam subjected to both point loads and a uniformly distributed load (UDL), calculating reactions, bending moments, and drawing shear force and bending moment diagrams, including the determination of the point of contraflexure. Finally, Task 4 analyzes a beam with multiple loads, including a UDL and point loads, determining reactions, and deriving shear force and bending moment equations to sketch the corresponding diagrams, identifying maximum values and their positions. The assignment utilizes both graphical and analytical methods, providing detailed calculations and diagrams to illustrate the solutions.