Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Question
Chapter 5, Problem 9P
To determine
Find the axial force, shear, and bending moment at points A and B of the beam.
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Please use relationship method as I do not understand that one.
A freeway study resulted in a speed-density relationship: v=60(1-0.008k). Determine:
a. The free-flow speed.
b. The jam density.
c. The speed-flow relationship.
d. The flow-density relationship.
e. The critical density.
f.
The capacity.
Average Shear Stress
BASIC FORMULAS
General Shear Stress
fv
lb
Shear Flow
Flexural or Bending Stress
VQ
q
Fb
Mc M
1 Sx
dtw
fy-shear stress
V = shear capacity
d depth of the section
tw = web thickness
Radius of Gyration
Q-statical moment of area
Imoment of inertia of whole section
b value of width where you cut
Note: can be used to solve maximum shear stress
Note: Maximum Shear Stress is located at the
neutral axis (smallest width)
Section Modulus
Sx=x
NOTE: If not given
Fy 248 MPa for A36 Steel
Fu-400 MPa for A36 Steel
Es-200,000 MPa
fb flexural or bending stress
M-moment capacity
I-Moment of Inertia of the whole section
Sx-section modulus
fy actual shear stress (from loads)
Fv allowable shear stress (from NSCP)
fv-Fv; safe and economical
Vmax=
P2
P
Mmax =
COMMON LOADINGS AND SUPPORTS
PPP
L/4
4↓1
44
L/4
PL
PL
Ymax =
48E1
Vmax = 1.5P
Mmax =
22
PL
19PL
Ymax =
384E1
P
P
[[
P P
WL
Vmax=
2
Mmax =
P
P
L/3
↓
L/3
↓
L/3
WL'
Swi
Ymax =
384 ΕΙ
PL
23PL
Vmax = P
Mmax =
이
Ymax =.
648E1
Chapter 5 Solutions
Structural Analysis (MindTap Course List)
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Prob. 17PCh. 5 - Determine the equations for shear and bending...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 25PCh. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 27PCh. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 34PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 36PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Draw the shear and bending moment diagrams for the...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71P
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