Suppose a aluminum rod of 20 ft and solid square cross section of 0.5 inches, is fixed at a wall on the left end. On the right end it is unsupported. The rod will bend based on it’s own weight given that it has uniform density. a.) Find the Youngs modulus, Moment of Inertia, and Weight per unit necessary to solve this problem. Then put them together to find the coefficient on the x4 term. b.) Solve for coefficients c1 through c4 and report the equation governing the shape this rod will take. c.) How far down from level does the end of the aluminum rod hang in inches?

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.