For the yellow region, calculate the following using THREEpositive shapes and TWO negative shapes:2.5T ur property sode se way aswee our ua. Areab. Centroidc. Volume of revolution about x= -3 rotated 360°d. Rectangular and Polar Moments of Inertiae. Radii of gyrationf. MOI about x=4g. Volume of 0.02-unit thick coating if curve ABCDEF (notethat AF is not included) is revolved 360° about x = -1h. A rectangle with length 5 units and width d adjacent tothe left of the quarter circle is to be added such that thex component of the centroid moves to the left by 0.53.734°=8Thi nt sr property sede no enin ony way asIBit wine sour oe1.2 units = xunits. Calculate the value of d and the new centroid.2.4Parameters:O = 34°x = 1.2 units2.8Computation of centroid and moment of inertia of the areaFlementArea, A(Formula)-1 +2Aỹ(Value)(Value)(Formula)(Value)(Formula)(2)(Formula)(Value)(Formula)(2)*or12.56640.00004425.132712.56643-2a(1)"x(1)-(1)1-3.1416-3.141644-3.9270-3.9270TOTAL9.42489.4248-3.141621.20588.6394Computation of centroid of the lineElement Length, L (Formula ifapplicable)(Value)(Formula)TOTALDimensions are in cm.

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For the yellow region, calculate the following using THREE positive shapes and TWO negative shapes: 2.5 T ur property so de use wy as f a. Area wee our u b. Centroid c. Volume of revolution about x= -3 rotated 360° d. Rectangular and Polar Moments of Inertia e. Radii of gyration f. MOI about x=4 g. Volume of 0.02-unit thick coating if curve ABCDEF (note that AF is not included) is revolved 360° about x = -1 h. A rectangle with length 5 units and width d adjacent to the left of the quarter circle is to be added such that the x component of the centroid moves to the left by 0.5 3.7 34°=6 Th nt sr property e de no enin ony way as it wie sour oe 1.2 units = x units. Calculate the value of d and the new centroid. 2.4 Parameters: O = 34° x= 1.2 units 2.8 Computation of centroid and moment of inertia of the area

For the yellow region, calculate the following using THREE positive shapes and TWO negative shapes: 2.5 T ur property so de use wy as f a. Area wee our u b. Centroid c. Volume of revolution about x= -3 rotated 360° d. Rectangular and Polar Moments of Inertia e. Radii of gyration f. MOI about x=4 g. Volume of 0.02-unit thick coating if curve ABCDEF (note that AF is not included) is revolved 360° about x = -1 h. A rectangle with length 5 units and width d adjacent to the left of the quarter circle is to be added such that the x component of the centroid moves to the left by 0.5 3.7 34°=6 Th nt sr property e de no enin ony way as it wie sour oe 1.2 units = x units. Calculate the value of d and the new centroid. 2.4 Parameters: O = 34° x= 1.2 units 2.8 Computation of centroid and moment of inertia of the area

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

For the yellow region, calculate the following using THREE
positive shapes and TWO negative shapes:
2.5
T ur property so
de se way as
wee our u
a. Area
b. Centroid
c. Volume of revolution about x= -3 rotated 360°
d. Rectangular and Polar Moments of Inertia
e. Radii of gyration
f. MOI about x=4
g. Volume of 0.02-unit thick coating if curve ABCDEF (note
that AF is not included) is revolved 360° about x = -1
h. A rectangle with length 5 units and width d adjacent to
the left of the quarter circle is to be added such that the
x component of the centroid moves to the left by 0.5
3.7
34°=8
Thi nt sr property se
de no enin ony way as
IB
it wine sour oe
1.2 units = x
units. Calculate the value of d and the new centroid.
2.4
Parameters:
O = 34°
x = 1.2 units
2.8
Computation of centroid and moment of inertia of the area
Flement
Area, A
(Formula)
-1 +2
Aỹ
(Value)
(Value)
(Formula)
(Value)
(Formula)
(2)
(Formula)
(Value)
(Formula)
(2)*
or
12.5664
0.0000
4
4
25.1327
12.5664
3-2
a(1)"
x(1)
-(1)
1
-3.1416
-3.1416
4
4
-3.9270
-3.9270
TOTAL
9.4248
9.4248
-3.1416
21.2058
8.6394
Computation of centroid of the line
Element Length, L (Formula if
applicable)
(Value)
(Formula)
TOTAL
Dimensions are in cm.

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