1. Show that for the transformation matrix [T] of Eq. (3.4.15), [T] T = [T] 1 and hence Eq. (3.4.21)


1. Show that for the change matrix [T] of Eq. (3.4.15), [T] T = [T] 1 and hence Eq. (3.4.21) is really emend, thus so illustrating that [k]=[ T]Tk’ [T] is the countenance for the global euphuism matrix for an part.

2. For the roll trusses shown in Figures P3–29 and P3–30, determine the insipid and upright displacements of node 1 and the stresses in each part. All parts accept E = 210 GPa and A ¼ 4:0 104 m2.