
Materials Science And Engineering
10th Edition
ISBN: 9781119405498
Author: Callister, William D., Jr, RETHWISCH, David G., Jr., 1940- Author.
Publisher: Wiley,
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instructions: make sure to follow the
instructions and provide complete and
detailed solution
create/draw a beam with uniformly
distributed load and concentrated load
after, find the shear and moment
equation
and ensure to draw it's shear and
moment diagram
once done, write it's conclusion or
observation
4:57 PM
A cantilevered rectangular prismatic beam has three loads applied. 10,000N in the positive x
direction, 500N in the positive z direction and 750 in the negative y direction. You have been tasked
with analysing the stresses at three points on the beam, a, b and c.
32mm
60mm
24mm
180mm
15mm
15mm
40mm
750N
16mm
500N
x
10,000N
Figure 2: Idealisation of the structure and the applied loading (right). Photograph of the new product
(left). Picture sourced from amazon.com.au.
To assess the design, you will:
a) Determine state of stress at all points (a, b and c). These points are located on the exterior
surface of the beam. Point a is located along the centreline of the beam, point b is 15mm
from the centreline and point c is located on the edge of the beam. When calculating the
stresses you must consider the stresses due to bending and transverse shear. Present your
results in a table and ensure that your sign convention is clearly shown (and applied
consistently!)
(3%)
b) You have identified…
7.82 Water flows from the reservoir on the left to the reservoir
on the right at a rate of 16 cfs. The formula for the head losses
in the pipes is h₁ = 0.02(L/D)(V²/2g). What elevation in the left
reservoir is required to produce this flow? Also carefully sketch
the HGL and the EGL for the system. Note: Assume the head-loss
formula can be used for the smaller pipe as well as for the larger
pipe. Assume α = 1.0 at all locations.
Elevation = ?
200 ft
300 ft
D₁ = 1.128 ft
D2=1.596 ft
12
2012
Problem 7.82
Elevation
= 110 ft
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