The built-in composite bar BC of length L=2 m is composed of two materials with equal cross sectional area A = 100 mm2. The first material has elastic modulus E=1 GPa. The second material is twice as stiff, with a modulus of 2E or 2 GPa. The bar is subjected to an unknown distributed load fx(x), and to an unknown concentrated load F at an unknown position along the bar. As a result of these loading conditions, the displacement field of the bar is:

Question

ux(x)={−aLx,2a(x2−Lx),if 0≤x<L/2if L/2<x≤L
where a= 0.01 [1/m] is a dimensional constant.

Answer 1

u1 = -a*L*x1;

u2 = 2*a*(x2.^2-L*x2);

Answer 2

N1 = -3*a*L*A*E+0*x1;

N2 = 6*a*A*E*(2*x2-L);

Answer 3

fx1 = 0 + 0*x1;

fx2 = -12*a*A*E + 0*x2;

Answer 4

Fx = -3*a*L*A*E
x = L/2

Answer 5

Rx(B) = 3*a*A*E*L
Rx(C) = 6*a*A*E*L

Answer 6

Thanks Access!
Do you have HW3_2A and 2B?

Answer 7

thanks a lot access!

Answer 8

HW3_2A
N(x)= (2*p_0*L)/27-p_0*(L/3-x+(3*x^2)/(4*L))

N(x)=(2*p_0*L)/27

Answer 9

HW3_2B
0<x<(2/3)L
(2*p_0*L*x)/(27*E*A)-p_0/(E*A)*((L*x)/3-x^2/2+x^3/(4*L))

Answer 10

Many thanks Pa!

Answer 11

THanks!
The second for HW3_2B please?