5.3 A 12-mm-diameter steel [E = 200 GPa] rod (2) is connected to a 30-mm-wide by 8-mm-thick rectangular aluminum [E = 70 GPa] bar (1), as shown in Fig. P5.3. Determine the force P required to stretch the assembly 10.0 mm. Fig. P5.3
Comment: Pmin = 118.7 k
6.1 A solid circular steel shaft having an outside diameter of d = 0.75 in. is subjected to a pure torque of Comment: max = 7,850 psi T = 650 lb-in. Determine the maximum shear stress in the shaft.
Solution
The polar moment of inertia for the shaft is
32
6502550
Mechanics of Materials
Fall 2017
Rutgers University
School of Engineering
Dept. of Mechanical & Aerospace Engineering
Problem Set #1
("due" Friday 9/8)
1.1) It is well known that rigid-body rotation is non-commutative. For example, take a book, x
Lecture 5
650:522 Analytical Dynamics
Chapters 2.9 Angular Acceleration and
Second Derivatives
2/16/17
Material from Applied Dynamics, Haim Baruh,
2014.
Page |2
Angular Acceleration
Basic Definition
=
We take the time derivative in a nonmoving inertial re
12.27 The stresses shown in the figure act at a point in a stressed body. Determine the normal and shear stresses at this point on the inclined plane shown.
Fig. P12.27
Solution
The given stress values are: x 5.5 ksi, y 18.7 ksi, xy 0 ksi, 20 The normal s
13.3 The thin square plate shown in Fig. P13.3 is uniformly deformed such that x = +1,400 , y = 650 , and xy = +1,200 rad. (a) Determine the normal strain n in the plate. (b) Determine the shear strain nt in the plate.
Fig. P13.3
Solution
(a) From the geo
14.1 Determine the normal stress in a ball, which has an outside diameter of 220 mm and a wall thickness of 3 mm, when the ball is inflated to a gage pressure of 110 kPa. Fig. P14.1
Solution
D 220 mm t 3 mm d 220 mm 2(3 mm) 214 mm
a
pd (0.110 MPa)(214 mm
QUIZ #1 Solution A simple pin-connected truss is loaded and supported as shown in Fig. P1.11. All members of the truss are aluminum pipes that have an outside diameter of 4.00 in. and a wall thickness of 0.4 in. Determine the normal stress in member AB.
F
Quiz 2 - Solution
A solid brass axial member, with Youngs modulus E = 100 GPa, is loaded and supported as shown in the figure. Segments (1) and (2) each have a diameter of 25 mm, and segment (3) has a diameter of 10 mm. Determine: (a) Draw the free-body d
Quiz 3 solution
For the simply supported beam, use the integration method to derive: a) the equation of the elastic curve for the beam, b) and the deflection at B. Fig. P10.11
Solution
Beam FBD:
L L M A wL P C y ( L) 0 2 2 wL P Cy 2 2 Fy Ay C y w( L) P 0
Quiz 4 solution
An aluminum [E = 10,600 ksi; G = 4,000 ksi] plate is subjected to biaxial stress (Fig. P13.56). The normal stress in the x direction is known to be twice as large as the normal stress in the y direction. If the strain gage measures a norma
650:550
Adv'd. Mechanics of Materials
Fall2017
Rutgers University
School of Engineering
Dept. of Mechanical & Aerospace Engineering
Instructor: Professor W.J. Bottega (EN 8229,5-4282, [email protected]),
Office Hrs.:TBA
Prerequisites: elementary mec
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