Engineering Mechanics: Statics and Modified Mastering Engineering with eText and Access Card (14th Edition)
14th Edition
ISBN: 9780134229287
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 9.2, Problem 7FP
Locate the centroid
Prob. F9-7
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Students have asked these similar questions
A triangular distributed load of max intensity w acts on beam
AB. The beam is supported by a pin at A and member CD,
which is connected by pins at C and D respectively.
Determine the largest load intensity, Wmax, that can be
applied if the pin at D can support a maximum force of
18000 N. Also determine the reactions at A and C
and express each answer in Cartesian components. Assume
the masses of both beam and member ✓ are
negligible.
Dwas
шал
=
A
BY NC SA
2016 Eric Davishahl
C
D
-a-
Ур
-b-
X
B
W
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
6.6 m
b
11.88 m
C
4.29 m
The maximum load intensity is
=
wmax
N/m.
The reaction at A is A =
The reaction at C is
=
i+
Ĵ N.
ĴN.
12
i+
The beam is supported by a pin at B and a roller at C and is
subjected to the loading shown with w =110 lb/ft, and F
205 lb.
a.) If M
=
2,590 ft-lb, determine the support reactions at B
and C. Report your answers in both Cartesian components.
b.) Determine the largest magnitude of the applied couple M
for which the beam is still properly supported in equilibrium
with the pin and roller as shown.
2013 Michael Swanbom
CC
BY NC SA
M
ру
W
B⚫
C
F
ka
b
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
3.2 ft
b
6.4 ft
C
3 ft
a.) The reaction at B is B =
The reaction at C is C =
ĵ lb.
i+
Ĵ lb.
b.) The largest couple that can be applied is M
ft-lb.
==
i+
The beam ABC has a mass of 79.0 kg and is supported by
the rope BDC that runs through the frictionless pulley at D
. The winch at C has a mass of 36.5 kg. The tension in the
rope acts on the beam at points B and C and counteracts
the moments due to the beam's weight (acting vertically at
the midpoint of its length) and the weight of the winch
(acting vertically at point C) such that the resultant moment
about point A is equal to zero. Assume that rope segment
CD is vertical and note that rope segment BD is NOT
necessarily perpendicular to the beam.
a.) Compute the tension in the rope.
b.) Model the two forces the rope exerts on the beam as a
single equivalent force and couple moment acting at point B.
Enter your answer in Cartesian components.
c.) Model the two forces the rope exerts on the beam as a
single equivalent force (no couple) and determine the
distance from A to the point along the beam where the
equivalent force acts (measured parallel to the beam from A
). Enter your answer…
Chapter 9 Solutions
Engineering Mechanics: Statics and Modified Mastering Engineering with eText and Access Card (14th Edition)
Ch. 9.1 - In each case, use the element shown and specify...Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid of the shaded area. Prob....Ch. 9.1 - Locate the center of mass x of the straight rod if...Ch. 9.1 - Locate the centroid of the homogeneous solid...Ch. 9.1 - Locate the centroid z of the homogeneous solid...Ch. 9.1 - Locate the center of mass of the homogeneous rod...Ch. 9.1 - Determine the location (x,y) of the centroid of...Ch. 9.1 - If the rod has a weight per unit length of 100...
Ch. 9.1 - Locate the center of gravity of the homogeneous...Ch. 9.1 - Determine the distance to the center of gravity...Ch. 9.1 - Locate the centroid of the area.Ch. 9.1 - Locate the centroid x of the parabolic area. Prob....Ch. 9.1 - Locate the centroid of the shaded area. Prob. 9-8Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9.1 - Locate the centroid of the area. Probs. 9-13/14Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Locate the centroid of the area. Prob. 9-17Ch. 9.1 - Locate the centroid x of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the shaded area.Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Determine the location of its center of gravity....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-32/33Ch. 9.1 - Locate the centroid of the area. Probs. 9-32/33Ch. 9.1 - Determine the location of its center of mass. Also...Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the circular sector.Ch. 9.1 - Determine the location r of the centroid C for the...Ch. 9.1 - The material is homogeneous. Prob. 9-39Ch. 9.1 - Locate the centroid of the paraboloid. Probs....Ch. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Determine the centroid of the solid. Prob. 9-42Ch. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Determine its mass and the distance z to the...Ch. 9.1 - Locate the centroid z of the volume. Prob. 9-45Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Locate the center of gravity z of the solid. Prob....Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Locate the centroid z of the spherical segment....Ch. 9.1 - Suggestion: Use a triangular plate element...Ch. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid (x,y) of the cross-sectional...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the center of mass (x,y,z) of the...Ch. 9.2 - If the mass of the gusset plates at the joints and...Ch. 9.2 - Determine the location (x,y,z) of the centroid of...Ch. 9.2 - Determine the location (x,y) of the centroid of...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Each plate has a constant width in the z direction...Ch. 9.2 - Neglect the thickness of each segment. The mass...Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 59PCh. 9.2 - Locate the centroid for the beams cross-sectional...Ch. 9.2 - Determine the location of the centroid C of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location (x,y) of the centroid C of...Ch. 9.2 - The beam is symmetric with respect to the y axis....Ch. 9.2 - Assume all corners are square and neglect the size...Ch. 9.2 - Prob. 68PCh. 9.2 - If it is folded over as shown, determine the...Ch. 9.2 - Locate the center of mass z of the forked level...Ch. 9.2 - Prob. 71PCh. 9.2 - Prob. 72PCh. 9.2 - Prob. 73PCh. 9.2 - The location of the center of gravity of each...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the location (x,y,z) of its centroid....Ch. 9.2 - It the cord is cut, the part will rotate about the...Ch. 9.2 - Prob. 78PCh. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - The assembly is made from a steel hemisphere. st =...Ch. 9.2 - The assembly is made from a steel hemisphere, st =...Ch. 9.2 - Prob. 83PCh. 9.2 - Determine the distance h to which a...Ch. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - The cylinder and the cone are made from materials...Ch. 9.2 - Major floor loadings in a shop are caused by the...Ch. 9.2 - Determine the distance x to its center of gravity...Ch. 9.2 - Determine the mass and location (x,y,z) of its...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 14FPCh. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 90PCh. 9.3 - Prob. 91PCh. 9.3 - Determine the volume of the storage tank. Probs....Ch. 9.3 - Prob. 93PCh. 9.3 - Determine the total weight of the wall if the...Ch. 9.3 - Determine its volume.Ch. 9.3 - Prob. 96PCh. 9.3 - Determine the volume of concrete needed to...Ch. 9.3 - Do not include the area of the ends in the...Ch. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Prob. 101PCh. 9.3 - Each gallon of paint can cover 250 ft2. Probs....Ch. 9.3 - Determine the surface area and the volume of the...Ch. 9.3 - Prob. 104PCh. 9.3 - Determine how many joules (J) are radiated within...Ch. 9.3 - Prob. 106PCh. 9.3 - Prob. 107PCh. 9.3 - Prob. 108PCh. 9.3 - Prob. 109PCh. 9.3 - Prob. 110PCh. 9.3 - Prob. 111PCh. 9.3 - Prob. 112PCh. 9.3 - Prob. 113PCh. 9.3 - Prob. 114PCh. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-17Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3.Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-19Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-20Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3....Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - The load is defined by the expression p = p0 sin...Ch. 9.5 - If this pressure loading acts uniformly along the...Ch. 9.5 - For the condition of high tide shown, determine...Ch. 9.5 - Determine the resultant force the water exerts on...Ch. 9.5 - If the density of concrete is c = 2.5 Mg/m3, and...Ch. 9.5 - Determine this factor if the concrete has a...Ch. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - If it is filled to the top, determine the...Ch. 9.5 - Prob. 126PCh. 9.5 - Determine the reactions at these supports due to...Ch. 9.5 - The tank is filled with a liquid that has a...Ch. 9.5 - The gate has a width of 1.5 m. w = 1.0 Mg/m3....Ch. 9.5 - Prob. 130PCh. 9.5 - Locate the centroid x of the area.Ch. 9.5 - Locate the centroid of the area.Ch. 9.5 - Prob. 3RPCh. 9.5 - Locate the centroid of the rod. Prob. R9-4Ch. 9.5 - Prob. 5RPCh. 9.5 - Prob. 6RPCh. 9.5 - Determine the volume of material required to make...Ch. 9.5 - Prob. 8RPCh. 9.5 - Determine the horizontal and vertical components...Ch. 9.5 - Determine the magnitude of the resultant...
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