International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 6, Problem 6.38P
For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam.
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3. The figure shows a frame under the
influence of an external loading made up
of five forces and two moments. Use the
scalar method to calculate moments.
a. Write the resultant force of the
external loading in Cartesian vector
form.
b. Determine the
& direction
of the resultant moment of the
external loading about A.
15 cm
18 cm
2.2 N-m
B
50 N
45°
10 cm
48 N.m
250 N
60 N
20
21
50 N
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100 N
A
118,
27cm 5, 4:1
The 2-mass system shown below depicts a disk which rotates about its center and has rotational
moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring
with constant k₂ is attached to the disk at a distance from the center. The mass m has linear
displacement & and is subject to an external force u. When the system is at equilibrium, the spring
forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may
assume the small angle approximation which implies (i) that the springs and dampers remain in
their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the
edge of the disk can be approximated by d≈re.
Ө
K2
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m
4
Cz
777777
Jo
Make the following assumptions when analyzing the forces and torques:
тв
2
0>0, 0>0, x> > 0, >0
Derive the differential equations of motion for this dynamic system. Start by sketching
LARGE and carefully drawn free-body-diagrams for the disk and the…
A linear system is one that satisfies the principle of superposition. In other words, if an input u₁
yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com-
bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2.
Using this fact, determine the output y(t) of the following linear system:
given the input:
P(s) =
=
Y(s)
U(s)
=
s+1
s+10
u(t) = e−2+ sin(t)
=e
Chapter 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force system acting on...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - The three identical cantilever beams carry...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - For the structural component shown, determine the...Ch. 6 - Compute the internal force system acting on...
Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - Find the internal force system acting on section 3...Ch. 6 - The structure is supported by a pin at C and a...Ch. 6 - The 1800lbin. couple is applied to member DEF of...Ch. 6 - A man of weight W climbs a ladder that has been...Ch. 6 - For the ladder in Prob. 6.17, find the internal...Ch. 6 - Determine the internal force system acting on...Ch. 6 - The equation of the parabolic arch is y=(36x2)/6,...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - Derive the shear force and the bending moment as...Ch. 6 - Derive the shear force and the bending moment as...Ch. 6 - The 24-ft timber floor joist is designed to carry...Ch. 6 - For the beam AB shown in Cases 1 and 2, derive and...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Show that the tension acting at a point in a...Ch. 6 - The cable of the suspension bridge spans L=140m...Ch. 6 - The two main cables of the Akashi Kaikyo...Ch. 6 - Cable AB supports the uniformly distributed load...Ch. 6 - A uniform 80-ft pipe that weighs 960 lb is...Ch. 6 - The cable AB supports a uniformly distributed load...Ch. 6 - The string attached to the kite weighs 0.4 oz/ft....Ch. 6 - Show that the tension acting at a point in a...Ch. 6 - A uniform cable weighing 16 N/m is suspended from...Ch. 6 - The tensions in the cable at points O and B are...Ch. 6 - The cable AOB weighs 24 N/m. Determine the sag H...Ch. 6 - The cable of mass 1.8 kg/m is attached to a rigid...Ch. 6 - One end of cable AB is fixed, whereas the other...Ch. 6 - The end of a water hose weighing 0.5 lb/ft is...Ch. 6 - The 50-ft measuring tape weighs 2.4 lb. Compute...Ch. 6 - The cable AOB weighs 5.2 N/m. When the horizontal...Ch. 6 - The chain OA is 25 ft long and weighs 5 lb/ft....Ch. 6 - The 110-lb traffic light is suspended from two...Ch. 6 - The cable carrying 60-lb loads at B and C is held...Ch. 6 - The cable ABCD is held in the position shown by...Ch. 6 - Find the forces in the three cable segments and...Ch. 6 - The cable carrying three 400-lb loads has a sag at...Ch. 6 - The cable supports three 400-lb loads as shown. If...Ch. 6 - Cable ABC of length 5 m supports the force W at B....Ch. 6 - When the 12-kN load and the unknown force P are...Ch. 6 - The cable is loaded by an 80-lb vertical force at...Ch. 6 - The 15-m-long cable supports the loads W1 and W2...Ch. 6 - The cable of length 15 m supports the forces...Ch. 6 - The 14-kN weight is suspended from a small pulley...Ch. 6 - For the cable ABCD determine (a) the angles 2 and...
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