CE 2301 Statics Fall 2015 - Homework Set 29 MWF - Solutions
Problem 8-19
Given: The shaded (green) area shown.
Find: The 2nd moments of area and the radii of gyration for
the shaded (green) area with respect to the x and y axes.
[You can form this shape w
CE 2301 Statics Fall 2015 - Homework Set 28 MWF - Solutions
Problem 8-8
10
Given: The blue area shown is bounded on
the right by the curve x3 y 64 mm4 , on the
8
top by the line y 8 mm , on the bottom by
the line y 1mm , and on the left by the y-
Find: Th
CE 2301 Statics Fall 2015 - Homework Set 26 MWF - Solutions
Problem 7-61
Given: The distributed force the soil exerts on the 1 0 m
section of the grade beam is described by
w x 1 0 x x 0 .2 x
2
3
kN
.
m
Find: The magnitude of the equivalent concentrated
CE 2301 Statics Fall 2015 - Homework Set 27 MWF - Solutions
Problem 7-72
Given: The dam is 4 5 ft wide (into the page).
Find: The magnitude of the resultant
hydrostatic force that the water exerts on the
dam and the depth at which it acts.
Solution:
FBD D
Problem 7-48.
y
Given: The rectangle with cutouts on each
end. The cutouts are semicircular with 6 in.
diameter.
Find the surface areas and the volumes of the
bodies of revolution obtained by revolving the
bright blue shape one revolution (a) around the
y
CE 2301 Statics Fall 2015 - Homework Set 18 MWF - Solutions
Problem 6-3
Given: The truss is loaded as shown.
Find: Use the method of joints to find all member
forces and reactions.
Solution:
FBD Joint C
4
3
5
12
F
x
0
12
3
FAC FBC 0
13
5
3 13
FAC
5 12
F
CE 2301 Statics Fall 2015 - Homework Set 19 MWF - Solutions
Problem 6-19
Given: Truss with loads
F1
and
F2
. Note that force
F1
is co-linear with member CF.
Identify the zero force members in the truss shown.
Solution: See sketch below with zero force mem
CE 2301 Statics Fall 2015 - Homework Set 22 MWF - Solutions
Problem 6-6.
Given: The truss loaded as shown.
Find all reactions and member forces.
Begin with a Free Body Diagram of
Joint B.
Fy 0
1
2 .8 3 k ip s F B C 0
2
1
FAB
2 k ip s 0
2
F A
23
xx
CE 2301 - Statics - Fall 2015 - Homework 16 - Solutions
y
Problem 1.
Given: The line shown.
Find the coordinates of the line's centroid.
4 mm
x
O
dL
dy
dx
y 0.2x4 12.8x mm
dL 1dy dx
dx
dy
0.8x3 12.8
dx
2
dy
0.64x6 20.48x3 163.84
dx
4mm
L
0
4mm
CE 2301 Statics Fall 2015 - Homework Set 20 MWF - Solutions
Problem 6-38
Given: The three-hinged arch is loaded as
shown.
Find: The reactions at A and C as well as the
forces Pin B exerts on each member.
Solution:
Free Body Diagram: Member AB
M
3
ft B x 6
24
xx
CE 2301 - Statics - Fall 2015 - Homework 16 - Solutions
y
4in.
Problem 7-18.
Given: The blue composite area
shown.
Find the coordinates of the centroid of
2in.
Divide the area into two triangles and a
rectangle as shown:
y
0
3in.
4in.
4in.
1
2in.
3
CE 2301 Statics Fall 2015 - Homework Set 21 MWF - Solutions
Problem 6-55
Given: The colorful clamp shown presses the
blocks together with a force of 1 0 0 lb .
Find: The magnitude of the force pin D exerts on
member CDE.
Solution:
Observe that BC is a two
CE 2301 Statics Fall 2015 - Homework Set 17 MWF - Solutions
Problem 5-49
Given: Rigid bar ABC is 8 ft long and lies in the y-z
plane. A hinge at A and cable CD support the bar.
The hinge axis lies along the x-axis. Point B, where
the cable attaches to the