Question

Given: The cantilevered beam shown below with E = 60,000 ksi and I = 400 in (25 pts) Find: a) Find A, MA and write the M(x) equation for the real system, b) Find Ay, MA and write the MAx) equation for the A, virtual system, c) Find Ay, MA and write the M.x) equation for the eg virtual system, d) Use the Virtual Work method (1(A) = ( dx) to find the deflection at B in inches, e) Use the Virtual Work method (10) d x) to find the slope at B in radians, Solution: (Show all work, box answers, include units.) VIRTUAL SYSTEM FOR AB VIRTUAL SYSTEM FOR OB REAL SYSTEM 3 20-0

Answer 1

Real systeem 3kiff virtual system (413) ΜΑ virtual bystem 100% MA=1 MARO LA on 20' Ax 201 Ay Look Ay=1 - VO) & -- to LKSH MW (K-si) MC) (cd) books - 2 - Ay = Ay-o Ay = 3x2orbok MAC-11202-20 MAT 1 MA - 3X20X10 MA=-book-st [Muan-20] Mu= -1 Mn =-600 +bon- 312 Mn= 6on-1.54²-600 hr IXA = MM dy ET = 1600-1.542-610) (0-20) oly 9 gont 18 non+ 12000) du to [ 258% + qops 19w 12001 - 1600 )

A3 AB= 60000 60COO Cr Ei= 60000 x 4ro ksi xan2 sko2n2 Et = 24X106 K-ft-in ! AB= 60000 2x106 in AB=0.030an 20 49 20-30 20 e n de 3 cox-23wo) (-1) o uso to our coun) all 80= * [ 1944 bon boty a to poco 10-nord 100-4000 hooo 24X106 reed Tuy [OB=0.288 redeans