Question

F13Q1_1: COMPOSITE BAR UNDER DISTRIBUTED LOADING

The composite bar AB has length L and is fixed at A(x=0).


The bar has a constant cross-section and is composed of two steel plates, of modulus Es=2E0 sandwiching a copper core of modulus Ec=E0.
The steel plates and the copper core have equal width w and equal height h.
The bar is subjected to a distributed load per unit length of the bar fx(x)=p0(xL)13.
The given known quantities are:

L=2m
h=3cm
w=2cm
E0=100GPa
p0=1000kN/m
Helpful hint:

∫xndx=xn+1n+1+Constant



Obtain a symbolic expression for the axial force resultant, N(x), in terms of L, x and p0 (enter this as p_0):

N(x)=


Obtain the numerical value of the axial force resultant at A, N(x=0), in kN.

N(x=0)=


Obtain a symbolic expression for the elongation of bar AB, δAB, in terms of L, h, w, E0, and p0.
δAB=

Obtain the numerical value of the elongation of bar AB, δAB, in mm.

δAB=

Answer 1

No (former MIT professor), I do not do MITx problems in Course 8 or Course 2. You are on your own. The 8.01x crowd swamped this board the last time around.

Answer 2

Gotcha, I got the other problems fine this ones really troubling me so thought I'd take a shot , atleast try to get closer to what I'm doing wrong. Thanks for the response and I completely understand !:)