Mechanics Of Materials, Si Edition
9th Edition
ISBN: 9789810694364
Author: Russell C Hibbeler
Publisher: Pearson Education
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Textbook Question
Chapter 1.2, Problem 1.2P
Determine the resultant internal normal and shear force in the member at (a) section a–a and (b) section b–b, each of which passes through the centroid A. The 500-lb load is applied along the centroidal axis of the member.
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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.
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=
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 1 Solutions
Mechanics Of Materials, Si Edition
Ch. 1.2 - In each case, explain how to find the resultant...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal normal and shear...Ch. 1.2 - 1-3. The beam AB is fixed to the wall and has a...
Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - 1-5. Determine the resultant internal loadings in...Ch. 1.2 - 1-6. Determine the normal force, shear force, and...Ch. 1.2 - 1-7. The cable will fail when subjected to a...Ch. 1.2 - *1-8. Determine the resultant internal loadings on...Ch. 1.2 - 1-9. Determine the resultant internal loadings on...Ch. 1.2 - The boom DF of the jib crane and the column DE...Ch. 1.2 - 1-11. The forearm and biceps support the 2-kg load...Ch. 1.2 - *1-12. The serving tray T used on an airplane is...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - 1-15. A 150-lb bucket is suspended from a cable on...Ch. 1.2 - *1-16. A 150-lb bucket is suspended from a cable...Ch. 1.2 - 1-17. Determine resultant internal loadings acting...Ch. 1.2 - Prob. 1.18PCh. 1.2 - Prob. 1.19PCh. 1.2 - Prob. 1.20PCh. 1.2 - Prob. 1.21PCh. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Prob. 1.24PCh. 1.2 - 1-25. Determine the resultant internal loading...Ch. 1.2 - 1-26. The shaft is supported at its ends by two...Ch. 1.2 - 1-27. The pipe assembly is subjected to a force of...Ch. 1.2 - If the drill bit jams when the brace is subjected...Ch. 1.2 - 1-29. The curved rod AD of radius r has a weight...Ch. 1.2 - A differential element taken from a curved bar is...Ch. 1.5 - In each case, determine the largest internal shear...Ch. 1.5 - Determine the largest internal normal force in the...Ch. 1.5 - Determine the internal normal force at section A...Ch. 1.5 - Prob. 1.5PPCh. 1.5 - The single-V butt joint transmits the force of 5...Ch. 1.5 - The uniform beam is supported by two rods AB and...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - If the 600-kN force acts through the centroid of...Ch. 1.5 - Determine the average normal stress at points A,...Ch. 1.5 - Determine the average normal stress in rod AB if...Ch. 1.5 - The supporting wheel on a scaffold is held in...Ch. 1.5 - Prob. 1.32PCh. 1.5 - The bar has a cross-sectional area A and is...Ch. 1.5 - 1-34. The built-up shaft consists of a pipe AB and...Ch. 1.5 - Prob. 1.35PCh. 1.5 - Prob. 1.36PCh. 1.5 - The plate has a width of 0.5 m. If the stress...Ch. 1.5 - The two members used in the construction of an...Ch. 1.5 - Prob. 1.39PCh. 1.5 - Determine the average normal stress in each of the...Ch. 1.5 - If the average normal stress in each of the...Ch. 1.5 - Determine the maximum average shear stress in pin...Ch. 1.5 - 1-43. The 150-kg bucket is suspended from end E of...Ch. 1.5 - *1-44. The 150-kg bucket is suspended from end E...Ch. 1.5 - Prob. 1.45PCh. 1.5 - 1-46. The 20-kg chandelier is suspended from the...Ch. 1.5 - Prob. 1.47PCh. 1.5 - If P = 15 kN, determine the average shear stress...Ch. 1.5 - 1-49. The joint is subjected to the axial member...Ch. 1.5 - Prob. 1.50PCh. 1.5 - Prob. 1.51PCh. 1.5 - Prob. 1.52PCh. 1.5 - Prob. 1.53PCh. 1.5 - Prob. 1.54PCh. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - Prob. 1.57PCh. 1.5 - Prob. 1.58PCh. 1.5 - 1-59. The jib crane is pinned at A and supports a...Ch. 1.5 - *1-60. If the shaft is subjected to an axial force...Ch. 1.5 - Prob. 1.61PCh. 1.5 - Prob. 1.62PCh. 1.5 - Prob. 1.63PCh. 1.5 - *1-64. A vertical force of P = 1500 N is applied...Ch. 1.5 - Prob. 1.65PCh. 1.5 - Determine the largest load P that can be applied...Ch. 1.5 - Prob. 1.67PCh. 1.5 - Prob. 1.68PCh. 1.7 - Rods AC and BC are used to suspend the 200-kg...Ch. 1.7 - If it is subjected to double shear, determine the...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If each of the three nails has a diameter of 4 mm...Ch. 1.7 - The strut is glued to the horizontal member at...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If the eyebolt is made of a material having a...Ch. 1.7 - If the bar assembly is made of a material having a...Ch. 1.7 - Determine the maximum force P that can be applied...Ch. 1.7 - The pin is made of a material having a failure...Ch. 1.7 - If the bolt head and the supporting bracket are...Ch. 1.7 - Six nails are used to hold the hanger at A against...Ch. 1.7 - If A and B are both made of wood and are 38 in....Ch. 1.7 - Prob. 1.70PCh. 1.7 - Prob. 1.71PCh. 1.7 - Prob. 1.72PCh. 1.7 - The steel swivel bushing in the elevator control...Ch. 1.7 - 1-74. Member B is subjected to a compressive force...Ch. 1.7 - Prob. 1.75PCh. 1.7 - Prob. 1.76PCh. 1.7 - The tension member is fastened together using two...Ch. 1.7 - 1-78. The 50-kg flowerpot is suspended from wires...Ch. 1.7 - 1-79. The 50-kg flowerpot is suspended from wires...Ch. 1.7 - *1–80. The thrust bearing consists of a circular...Ch. 1.7 - 1-81. The steel pipe is supported on the circular...Ch. 1.7 - The steel pipe is supported on the circular base...Ch. 1.7 - 1-83. The 60 mm × 60 mm oak post is supported on...Ch. 1.7 - *1-84. The frame is subjected to the load of 4 kN...Ch. 1.7 - Prob. 1.85PCh. 1.7 - The two aluminum rods support the vertical force...Ch. 1.7 - The two aluminum rods AB and AC have diameters of...Ch. 1.7 - The compound wooden beam is connected together by...Ch. 1.7 - Determine the required minimum thickness t of...Ch. 1.7 - Determine the maximum allowable load P that can be...Ch. 1.7 - Prob. 1.91PCh. 1.7 - *1-92. If the allowable hearing stress for the...Ch. 1.7 - The rods AB and CD are made of steel. Determine...Ch. 1.7 - The aluminum bracket A is used to support the...Ch. 1.7 - Prob. 1.95PCh. 1.7 - *1-96. The pin support A and roller support B of...Ch. 1 - The beam AB is pin supported at A and supported by...Ch. 1 - The long bolt passes through the 30-mm-thick...Ch. 1 - Determine the required thickness of member BC to...Ch. 1 - The circular punch B exerts a force of 2 kN on the...Ch. 1 - Determine the average punching shear stress the...Ch. 1 - The 150 mm by 150 mm block of aluminum supports a...Ch. 1 - The yoke-and-rod connection is subjected to a...Ch. 1 - The cable has a specific weight (weight/volume)...
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