PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Question
Chapter 2, Problem 77P
To determine
The magnitude of the resultant force
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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.
Show all work please
Chapter 2 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 2 - Determine the magnitude of the resultant force...Ch. 2 - Two forces act on the hook. Determine the...Ch. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Resolve the 30-lb force into components along the...Ch. 2 - The force F = 450 lb acts on the frame. Resolve...Ch. 2 - If force F is to have a component along the u axis...Ch. 2 - Determine the magnitude of the resultant force FR...Ch. 2 - Resolve the force F1 into components acting along...Ch. 2 - Resolve the force F2 into components acting along...Ch. 2 - Prob. 10P
Ch. 2 - Determine the angle for connecting member A to...Ch. 2 - Determine the magnitude and direction of the...Ch. 2 - Determine the magnitude and direction of the...Ch. 2 - Determine the magnitude and direction of FA SO...Ch. 2 - If the resultant force of the two tugboats is 3...Ch. 2 - If FB = 3 kN and = 45, determine the magnitude of...Ch. 2 - If the resultant force of the two tugboats is...Ch. 2 - Resolve each force acting on the post into its x...Ch. 2 - Determine the magnitude and direction of the...Ch. 2 - Prob. 9FPCh. 2 - If the resultant force acting on the bracket is to...Ch. 2 - If the magnitude of the resultant force acting on...Ch. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Resolve each force acting on the gusset plate into...Ch. 2 - Determine the magnitude of the resultant force...Ch. 2 - Prob. 39PCh. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Determine the magnitude of the resultant force and...Ch. 2 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2 - Prob. 43PCh. 2 - Determine the magnitude and orientation of FB so...Ch. 2 - Prob. 48PCh. 2 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2 - Prob. 56PCh. 2 - If the resultant force acting on the bracket is...Ch. 2 - Prob. 58PCh. 2 - If F = 5 kN and = 30, determine the magnitude of...Ch. 2 - Determine the coordinate direction angles of the...Ch. 2 - Prob. 14FPCh. 2 - Prob. 15FPCh. 2 - Prob. 16FPCh. 2 - Prob. 17FPCh. 2 - Prob. 18FPCh. 2 - Prob. 61PCh. 2 - Prob. 66PCh. 2 - Determine the magnitude and coordinate direction...Ch. 2 - Specify the magnitude and coordinate direction...Ch. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 77PCh. 2 - Prob. 79PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - If the direction of the resultant force acting on...Ch. 2 - Express the position vector rAB in Cartesian...Ch. 2 - Prob. 20FPCh. 2 - Express the force as a Cartesian vector. Prob....Ch. 2 - Prob. 22FPCh. 2 - Prob. 23FPCh. 2 - Prob. 24FPCh. 2 - Determine the length of the connecting rod AB by...Ch. 2 - Prob. 88PCh. 2 - Prob. 90PCh. 2 - Prob. 91PCh. 2 - Determine the magnitude and coordinate direction...Ch. 2 - Prob. 98PCh. 2 - Prob. 25FPCh. 2 - Determine the angle between the force and the...Ch. 2 - Prob. 27FPCh. 2 - Prob. 28FPCh. 2 - Find the magnitude of the projected component of...Ch. 2 - Prob. 30FPCh. 2 - Determine the magnitudes of the components of the...Ch. 2 - Determine the components of F that act along rodAC...Ch. 2 - Determine the magnitudes of the components of F =...Ch. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Determine the angle between the two cables...Ch. 2 - Determine the angle between the cables AB and AC....Ch. 2 - Determine the magnitude of the projected component...Ch. 2 - Determine the magnitude of the projected component...Ch. 2 - Determine the magnitudes of the projection of the...Ch. 2 - Determine the magnitude of the resultant force FR...Ch. 2 - Prob. 5RPCh. 2 - Prob. 6RPCh. 2 - Prob. 7RPCh. 2 - Prob. 8RP
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