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Engineering

Civil Engineering

Part

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.

Question

Part 1,2,3,4

Part 2
Determine the moment M, produced by the loads about the y axis at the section containing A and B. Also determine the moment
Mz produced about the z axis at this section. Use the correct signs for moments.
My =
kip-in
M₂ = i
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Part 3
YA =
ZA =
i
Determine the coordinates (YA, ZA) of point A and the coordinates (Y,Z) of point B based on the coordinate system in Figure B.
YB =
ZB =
Part 4
i
ox,A =
i
i
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i
kip-in
in.
in.
in.
in.
Determine the bending stress at A. Use the sign convention for normal stresses.
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ksi
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The cantilever beam shown in Figure A is subjected to load magnitudes of P₂ = 3.3 kips and P, = 8.1 kips. The flanged cross section
shown in Figure B has dimensions of b, = 7.6 in., ty = 0.64 in., d = 10.0 in., and t = 0.30 in. Using L = 80 in., determine:
(a) the bending stress at point A.
(b) the bending stress at point B.
(c) the angle for the orientation of the neutral axis relative to the + z axis. Note that positive angles rotate clockwise from the + z
axis.
FIGURE A
Part 1
1₂ =
Iy=
i
L
For the cross-section, determine the area moment of inertia I, about the z axis, and the area moment of inertia I, about the y
axis.
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B
D
FIGURE B
in, 4
1w.
in.4
B
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