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
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
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 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 #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
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
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
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