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:

Elements Of Electromagnetics
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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 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
H
Led
Led
Transcribed Image Text: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 H Led Led
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 y,, 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 y, the vertical distance
from the bottom edge of the cross-section to the centroid of
rectangles (2). Then, find Az and y, for rectangle (3).
y
(3)
K
(1)
(1)
t
d
(Сур)
(2)
(2)
Transcribed Image Text: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 y,, 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 y, the vertical distance from the bottom edge of the cross-section to the centroid of rectangles (2). Then, find Az and y, for rectangle (3). y (3) K (1) (1) t d (Сур) (2) (2)
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