a. find the area and vertical distances from the bottom edge of the cross-section to the centoid of rectanglesb. Find Iz, the area moment of inertia about the z centroidal axis for the cross-section. c. Find QH, the first moment of area about the z centroidal axis for the entire area below point H. This area has width 2c2c and height tt. Also, find QK, the first moment of area about the z centroidal axis for the entire area above point K with width b and height t.d. Determine the magnitudes of the shear stress at point H and the shear stress at point K.e. Find Qmax, the maximum first moment of area about the z centroidal axis for any point in the cross section, and τmax, the maximum horizontal shear stress magnitude in the cross section. The internal shear force at a certain section of a steel beam isV = 7.2 kN. The beam cross section shown in the figure hasdimensions of b = 136 mm, c = 33 mm, d = 66 mm, and t = 6mm. Determine:(a) the shear stress at point H.(b) the shear stress at point K.(c) the maximum horizontal shear stress in the cross section.by|KdVH Your answer is partially correct.Break the cross section into five rectangles, as shown. It is seen that the two labeled with a (1) areidentical, and the two labeled with a (2) are identical. Find A, the area of rectangles (1), and y1, thevertical distance from the bottom edge of the cross-section to the centroid of rectangles (1). Similarly,find A2, the area of rectangles (2), and y½, the vertical distance from the bottom edge of the cross-section to the centroid of rectangles (2). Then, find A3 and y3 for rectangle (3).b(3)K(1)(1)d(typ)(2)H(2)kedkedA =396mm?33mmA2162mm?mmy2 =Az =816mm?Y3 =63mm3.

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Answered: a. find the area and vertical distances…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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a. find the area and vertical distances from the bottom edge of the cross-section to the centoid of rectangles

b. Find Iz, the area moment of inertia about the z centroidal axis for the cross-section.

c. Find QH, the first moment of area about the z centroidal axis for the entire area below point H. This area has width 2c2c and height tt. Also, find QK, the first moment of area about the z centroidal axis for the entire area above point K with width b and height t.

d. Determine the magnitudes of the shear stress at point H and the shear stress at point K.

e. Find Qmax, the maximum first moment of area about the z centroidal axis for any point in the cross section, and τmax, the maximum horizontal shear stress magnitude in the cross section.

The internal shear force at a certain section of a steel beam is
V = 7.2 kN. The beam cross section shown in the figure has
dimensions of b = 136 mm, c = 33 mm, d = 66 mm, and t = 6
mm. Determine:
(a) the shear stress at point H.
(b) the shear stress at point K.
(c) the maximum horizontal shear stress in the cross section.
b
y|
K
d
V
H

Your answer is partially correct.
Break the cross section into five rectangles, as shown. It is seen that the two labeled with a (1) are
identical, and the two labeled with a (2) are identical. Find A, the area of rectangles (1), and y1, the
vertical distance from the bottom edge of the cross-section to the centroid of rectangles (1). Similarly,
find A2, the area of rectangles (2), and y½, the vertical distance from the bottom edge of the cross-
section to the centroid of rectangles (2). Then, find A3 and y3 for rectangle (3).
b
(3)
K
(1)
(1)
d
(typ)
(2)
H
(2)
ked
ked
A =
396
mm?
33
mm
A2
162
mm?
mm
y2 =
Az =
816
mm?
Y3 =
63
mm
3.

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