-1.A linear spring with a spring constant K is attached at
the right end of the beam . For the loading shown ,write
down the 3 fourth order differential equations and the
12 conditions necessary for solving the deection at
Oct. 6th, 2004
1. (a) Show the non-zero stress components on the A,B, and C faces of the cube. Use the coordinate system that is given only.
xx = 80MPa ( T ) yx = 30 MPa zx = 0 xy = 30 MPa yy = 0 zy = 70MPa xz = 0 yz = 70MPa zz = 40MPa (
Dec. 16th, 2003
1. A thin beam cross-section of uniform thickness t is shown in Fig. 1. Determine the shear center location with respect to point A. Assume t a .
wL Iyy = 8.74a3t
Izz = 7.25 a3t 2a -7
Dec. 18th, 2000
Using energy methods find the reaction force at A and the slope of the beam at A in terms of E, I, w, and L.
d x A
RA = -
A thin walled open cross-section with a uniform thickness t is shown.
y 10 mm
50 mm y 10 mm
Nov. 19th, 2003
A 20mm 38o Steel
(a) Determine Iyz for the L shaped cross-section shown in Fig. (a).
I yy = 0.463 ( 10 ) mm I zz = 1.013 ( 10 ) mm
6 6 4
100 mm z
5 mm 25 mm 10 mm 60 mm
6 in 1 in 1.25 in y 1 in z C 6 in 1 in
Nov. 18th, 2004
(a) Determine Iyz for the cross-section shown.
Iyz = -
(b) The internal bending moments on a cross-section shown were determined to be M y = 20 kN m and M z = ( 25 )kN m . Det
May 4th, 2000
1 A rigid plate is pivoted at point C. After the load P is applied the temperature of bar B is observed to decrease by 50oF. Determine the axial stress in bar A and the deformation of bar B. The area of cross-section of both ba
Oct. 7th, 2003
Answers are at of this exam. 1. (a) Show the non-zero stress components on the A,B, and C faces of the cube. Use the coordinate system that is given only.
xx = 80MPa ( T ) yx = 30 MPa zx = 0 xy = 30 MPa yy = 0 zy = 70MPa
EXAM 1 EM 440 (Quarter system equivalent to MEEM 4150) April 6th, 2000
1. TIn terms of E, I, Mext, L, and x, determine the (a) elastic curve and (b) the reaction force at A.
The principal stresses at a point were found to be 1= 40 ksi (T), 2=
Oct. 11th, 2000
The strain gages mounted on the middle surfaces of a cantilever beam recorded the following strain values:
a = 1333 b = 1592 . Determine the loads P1 and P2. The Modulus of Elasticity is 200 GPa and the
lnterm ediate Mechanics of Materials: Chapter 2
Courtesy of Professor 1. Miskioglu.
The learning objectives in this chapter are:
° Understand the denition and differences of linear material models.
° Understand th
Dec. 15th, 2004
Using energy methods find the reaction force at A and the slope of the beam at A in terms of E, I, w, and
A thin walled open cross-section with a uniform thickness t is shown. Assume that t a