P.16.4 A thin-walled cantilever with walls of constant thickness t has the cross-section shown in Fig. P.16.4. It is loaded by a vertical force W at the tip and a horizontalforce 2W at the mid-section, both forces acting through the shear centre. Determineand sketch the distribution of direct stress, according to the basic theory of bending,along the length of the beam for the points 1 and 2 of the cross-section.The wall thickness t can be taken as very small in comparison with d in calculatingthe sectional properties Lxx, Ixy, etc.Ans. 2,1 (mid-point) = -0.05 Wl/td², 02,1 (built-in end) = -1.85 Wl/td²₂2 (mid-point) = -0.63 W1/td², 02 (built-in end) = 0.1 Wl/td².///////Fig. P.16.4W7/22W1/2A2d12_ _d12.3X

The force given at the tip is .The force given at the mid-section is .

P.16.4 A thin-walled cantilever with walls of constant thickness t has the cross- ection shown in Fig. P.16.4. It is loaded by a vertical force W at the tip and a horizontal orce 2W at the mid-section, both forces acting through the shear centre. Determine nd sketch the distribution of direct stress, according to the basic theory of bending, long the length of the beam for the points 1 and 2 of the cross-section. The wall thickness t can be taken as very small in comparison with d in calculating ne sectional properties Ixx, Ixy, etc. Ans. 0,1 (mid-point) = -0.05 Wl/td², 02,1 (built-in end) = -1.85 Wl/td² 022 (mid-point) = -0.63 Wl/td², 02 (built-in end) = 0.1 Wl/td². '(((

P.16.4 A thin-walled cantilever with walls of constant thickness t has the cross- ection shown in Fig. P.16.4. It is loaded by a vertical force W at the tip and a horizontal orce 2W at the mid-section, both forces acting through the shear centre. Determine nd sketch the distribution of direct stress, according to the basic theory of bending, long the length of the beam for the points 1 and 2 of the cross-section. The wall thickness t can be taken as very small in comparison with d in calculating ne sectional properties Ixx, Ixy, etc. Ans. 0,1 (mid-point) = -0.05 Wl/td², 02,1 (built-in end) = -1.85 Wl/td² 022 (mid-point) = -0.63 Wl/td², 02 (built-in end) = 0.1 Wl/td². '(((

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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Question

P.16.4 A thin-walled cantilever with walls of constant thickness t has the cross-
section shown in Fig. P.16.4. It is loaded by a vertical force W at the tip and a horizontal
force 2W at the mid-section, both forces acting through the shear centre. Determine
and sketch the distribution of direct stress, according to the basic theory of bending,
along the length of the beam for the points 1 and 2 of the cross-section.
The wall thickness t can be taken as very small in comparison with d in calculating
the sectional properties Lxx, Ixy, etc.
Ans. 2,1 (mid-point) = -0.05 Wl/td², 02,1 (built-in end) = -1.85 Wl/td²
₂2 (mid-point) = -0.63 W1/td², 02 (built-in end) = 0.1 Wl/td².
///////
Fig. P.16.4
W
7/2
2W
1/2
A
2
d12_ _d12.
3
X

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