1. The outside diameter of the steel pipe shown in the following figure is 4.5 in and has a wall thickness of 0.25 in. The pipe supports the loads shown in the figure.
a) Calculate the internal forces and moments acting on the right half of a cut at a plane 24 in from the tip of the cantilever for the loading shown. Use the coordinate system indicated below (positive in the labelled direction) and the right-hand-rule to indicate the direction (positive or negative) of the forces and moments. Include units in your answers in the table below.
b) Write the equation you would use to calculate stress (at any point on the cross-section) due to each of the internal forces. No calculations are required. Make sure you:
- actually use the force/moment in the equation
- indicate the appropriate axis for the stress with subscripts (e.g. if it is normal stress in the z direction, make sure you write sigma z or if it is shear stress on the z face in the x direction, make sure you write tau zx)
- indicate the appropriate axis for moment of inertia with subscripts (e.g. if the moment of inertia about the x axis is required, make sure you write lx in the equation).
