Standard air flows over a horizontal smooth flat plate at free-stream speed U = 20 m/s. The plate length is L = 1.5 m and its width is b = 0.8 m. The pressure gradient is zero. The boundary layer is tripped so that it is turbulent from the leading edge; the velocity profile is well represented by the 1 7 -power expression. Evaluate the boundary-layer thickness, δ , at the trailing edge of the plate. Calculate the wall shear stress at the trailing edge of the plate. Estimate the skin friction drag on the portion of the plate between x = 0.5 m and the trailing edge.
Standard air flows over a horizontal smooth flat plate at free-stream speed U = 20 m/s. The plate length is L = 1.5 m and its width is b = 0.8 m. The pressure gradient is zero. The boundary layer is tripped so that it is turbulent from the leading edge; the velocity profile is well represented by the 1 7 -power expression. Evaluate the boundary-layer thickness, δ , at the trailing edge of the plate. Calculate the wall shear stress at the trailing edge of the plate. Estimate the skin friction drag on the portion of the plate between x = 0.5 m and the trailing edge.
Standard air flows over a horizontal smooth flat plate at free-stream speed U = 20 m/s. The plate length is L = 1.5 m and its width is b = 0.8 m. The pressure gradient is zero. The boundary layer is tripped so that it is turbulent from the leading edge; the velocity profile is well represented by the
1
7
-power expression. Evaluate the boundary-layer thickness, δ, at the trailing edge of the plate. Calculate the wall shear stress at the trailing edge of the plate. Estimate the skin friction drag on the portion of the plate between x = 0.5 m and the trailing edge.
4. Two links made of heat treated 6061 aluminum (Sy = 276 MPa, Sys = 160 MPa) are pinned
together using a steel dowel pin (Sy = 1398 MPa, Sys = 806 MPa) as shown below. The
links are to support a load P with a factor of safety of at least 2.0. Determine if the link will
fail first by tearout, direct shear of the pin, bearing stress on the link, or tensile stress at
section AA. (Hint: find the load P for each case and choose the case that gives the smallest
load.)
P
8 mm
P
8 mm
¡+A
3 mm
→A
10 mm
P
1. For a feature other than a sphere, circularity is where:
A. The axis is a straight line
B. The modifier is specified with a size dimension
C. All points of the surface intersected by any plane
perpendicular to an axis or spine (curved line) are
equidistant from that axis or spine
D. All points of the surface intersected by any plane
passing through a common center are equidistant
from that center
2. What type of variation is limited by a circularity toler-
ance zone?
A. Ovality
B. Tapering
C. Bending
D. Warping
3. How does the Rule #1 boundary affect the application
of a circularity tolerance?
A. The modifier must be used.
B. The feature control frame must be placed next to
the size dimension.
C. The circularity tolerance value must be less than
the limits of size tolerance.
D. Circularity cannot be applied where a Rule #1
boundary exists.
4. A circularity tolerance may use a
modifier.
A. Ø
B. F
C. M
D. ℗
5. A real-world application for a circularity tolerance is:
A. Assembly (i.e.,…
3. A steel bar is pinned to a vertical support column by a 10 mm diameter hardened dowel pin,
Figure 1. For P = 7500 N, find:
a. the shear stress in the pin,
b. the direct bearing stress on the hole in the bar,
c. the minimum value of d to prevent tearout failure if the steel bar has a shear strength of
175 MPa.
support column
pin
bar
thickness of bar = 8 mm
h
d
150 mm
Chapter 9 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
Elementary Surveying: An Introduction To Geomatics (15th Edition)
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