# Physics

The composite bar BCD in the figure is fixed at the wall B (x=0), and has constant cross sectional area A_0. The bar is composed by joining, at section C, two segments (BC and CD) of equal length L. Segment CD is homogeneous, made of copper. Segment BC is obtained by joining two identical wedges, a copper wedge and a steel wedge, as indicated in the figure. Along segment BC the cross sectional areas of copper and steel are given, respectively, by:

A_c=A_0*x/L,
A_s=A_0(1-x/L),
which sum to give the constant cross-sectional area A_0 at each x within bar segment BC.

The bar is subjected to a uniform distributed load per unit length of magnitude f_0 in the direction indicated in the figure.

The Young’s modulus of copper is E_C=E_0, and the modulus of steel is E_S=2E_0.

NOTE: careful! The total length of the bar is 2L.

Find:

1. expression for the axial force resultant N(x) in terms of L, x and f_0.

2. expression for the axial strain in the bar, ϵ_a(x) in terms of x, L, E_0, A_0

3. expression for the normal stress in the steel at the midspan of segment BC, σ_n steel(x=L2), in terms of L, A0, and f0

4. expression for the displacement field in the bar, u_x(x) in terms of x, L, E_0, A_0 and f_0
for 0²x²L, ux(x)=
for L²x²2L, ux(x)=

5. expression for the elongation of entire bar BD, δ_BD, in terms of L, E_0, A_0 and f_0

1. 👍 0
2. 👎 0
3. 👁 62

## Similar Questions

1. ### Physics

Composite bar with end load (two segments) The composite bar BCD in the figure is composed of an inner aluminum cylindrical core of length 2L=2 m and radius R=1 cm and a sleeve of steel of length L=1 m and thickness R=1 cm

asked by helpless on April 30, 2013
2. ### physic

The composite bar BCD in the figure is composed of an inner aluminum cylindrical core of length 2l=2m and radius R=1cm and a sleeve of steel of length L=1m and thickness R=1cm surrounding the aluminum core in the CD section of the

asked by asas on May 1, 2013
3. ### Physic

The composite bar BCD in the figure is composed of an inner aluminum cylindrical core of length 2L=2 m and radius R=1 cm, and a sleeve of steel of length L=1 m and thickness R=1 cm surrounding the aluminum core in the CD section

asked by Me on May 7, 2013
4. ### strength of materials

The composite bar BCD in the figure is fixed at the wall B (x=0), and has constant cross sectional area A_0. The bar is composed by joining, at section C, two segments (BC and CD) of equal length L. Segment CD is homogeneous, made

asked by ashwni on July 17, 2016
5. ### Mechanics

The composite bar BCD in the figure is fixed at the wall B (x=0), and has constant cross sectional area A0. The bar is composed by joining, at section C, two segments (BC and CD) of equal length L. Segment CD is homogeneous, made

asked by Tony on October 28, 2017
6. ### Physics

The cylindrical bar in the figure has a total length L=1.2 m, a diameter d=15 mm, and is confined by fixed supports at the walls A and B. A concentrated axial load FC=30 kN is applied to the bar at point C as indicated in the

asked by XYZ on May 11, 2013
7. ### Physics mit 2.01x

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

asked by Michael on July 15, 2014
8. ### physics

Bar AB has length L, constant thickness d, and a width that tapers linearly from 3d at its fixed end (A) to d at its free end (B; see the figure below). The bar is homogeneous with mass density ρ and Young's modulus E. When hung

asked by Donkey on June 23, 2014
9. ### Physiscs

A 3kg bar is laying on a smooth vertical wall of 3L of height and a floor of 2L. Determine the force that the wall exerts over the bar. I have tried to get to length of the bar by using Pitagoras but no, then I tried using a free

asked by Angela on November 23, 2016
10. ### Physics

Hi everybody! I really need help with this problem as soon as possible... SI SHAFT WITH VARIABLE SECTION The shaft BCD in the figure has length L and is composed of a homogeneous material with shear modulus G. The bar is fixed

asked by anna_lau on August 9, 2016

More Similar Questions