International Edition---engineering Mechanics: Statics 4th Edition
4th Edition
ISBN: 9781305856240
Author: Pytel
Publisher: Cengage
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Chapter 6, Problem 6.66P
A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight. Determine the length of the cable and the maximum force in the cable. (Hint: First locate the point O where the cable is tangent to the pipe.)
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An AISI 1018 steel ball with 1.100-in diameter is used as a roller between a flat plate
made from 2024 T3 aluminum and a flat table surface made from ASTM No. 30 gray
cast iron. Determine the maximum amount of weight that can be stacked on the
aluminum plate without exceeding a maximum shear stress of 19.00 kpsi in any of the
three pieces. Assume the figure given below, which is based on a typical Poisson's
ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress
occurs for these materials.
1.0
0.8
Ratio of stress to Pmax
0.4
90
0.6
στ
Tmax
0.2
0.5a
a
1.5a
2a
2.5a
За
Distance from contact surface
The maximum amount of weight that can be stacked on the aluminum plate is
lbf.
A carbon steel ball with 27.00-mm diameter is pressed together with an aluminum ball
with a 36.00-mm diameter by a force of 11.00 N. Determine the maximum shear
stress and the depth at which it will occur for the aluminum ball. Assume the figure
given below, which is based on a typical Poisson's ratio of 0.3, is applicable to estimate
the depth at which the maximum shear stress occurs for these materials.
1.0
0.8
Ratio of stress to Pma
9 0.6
στ
24
0.4
Tmax
0.2
0
0.5a
a
1.5a
Z
2a
2.5a
За
Distance from contact surface
The maximum shear stress is determined to be
MPa.
The depth in the aluminum ball at which the maximum shear stress will occur is
determined to be [
mm.
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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