Please answer correctly, badly need it. Thank u godbless The internal shear force at a certain section of a steel beam is V= 8.8 kN. The beam cross-section shown in the figure has dimensions of b=141 mm, c=31 mm, d=63 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. 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 A1, 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 y2, 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).
Please answer correctly, badly need it. Thank u godbless
The internal shear force at a certain section of a steel beam is V= 8.8 kN. The beam cross-section shown in the figure has dimensions of b=141 mm, c=31 mm, d=63 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.
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 A1, 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 y2, 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).
| A1= | mm2 |
| y1= | mm |
| A2= | mm2 |
| y2= | mm |
| A3= | mm2 |
| y3= | mm |
Find y¯, the vertical distance from the bottom edge of the cross-section to the centroid of the cross-section.
y¯= mmFind Iz, the area moment of inertia about the z centroidal axis for the cross-section.
Iz= mm4
Find QH, the first moment of area about the z centroidal axis for the entire area below point H. This area has width 2c and height t. 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.
| QH= | mm3 |
| QK= | mm3 |
Determine the magnitudes of the shear stress at point H and the shear stress at point K.
| τH= | MPa |
| τK= | MPa |
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.
| Qmax= | mm3 |
| τmax= | MPa |
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