Problem 1: Consider the idealized closed section shown which carries a shear force of 8000 lb at the location shown. Determine the shear flows in the webs of the idealized beam shown for the following two cases. (a) All stringers have an area of 1 in². (b) The two right hand side stringers have an area of 3 in² and all other stringers have an area of 1 in². An alternative solution path to solve for the shear flows is as follows. It is possible to find the shear flows by the superposition of the shear flow values obtained by (i) assuming one of the webs in the section to be cut, and (ii) the uniform shear flow along the entire circumference of the closed section (see the figure below). Then, by equating the moments from both (i) and (ii) to the moment due to the shear force Vy, the value of qo can be evaluated. Using this alternative method, solve for the shear flows for the following case: A (c) The two left hand side stringers have an area of 3 in² and all other stringers have an area of 1 in². Alternate solution path: F 10" qAB qEF B E 10 -- qBC qCD DE K-6" 8,000 lb (i) Calculate the shear flow due to the applied shear force Vy of the open section (considering one of the webs to be cut). A qo F 10" 90 90 8,000 lb B E 10" 90 90 90 8,000 lb 01 --> (ii) Assume a uniform shear flow in the entire closed section. (iii) Then equate the sum of the moments from (i) and (ii) about some point (for e.g., D) to the moment due to the 8000 lb force about the same point to determine
Problem 1: Consider the idealized closed section shown which carries a shear force of 8000 lb at the location shown. Determine the shear flows in the webs of the idealized beam shown for the following two cases. (a) All stringers have an area of 1 in². (b) The two right hand side stringers have an area of 3 in² and all other stringers have an area of 1 in². An alternative solution path to solve for the shear flows is as follows. It is possible to find the shear flows by the superposition of the shear flow values obtained by (i) assuming one of the webs in the section to be cut, and (ii) the uniform shear flow along the entire circumference of the closed section (see the figure below). Then, by equating the moments from both (i) and (ii) to the moment due to the shear force Vy, the value of qo can be evaluated. Using this alternative method, solve for the shear flows for the following case: A (c) The two left hand side stringers have an area of 3 in² and all other stringers have an area of 1 in². Alternate solution path: F 10" qAB qEF B E 10 -- qBC qCD DE K-6" 8,000 lb (i) Calculate the shear flow due to the applied shear force Vy of the open section (considering one of the webs to be cut). A qo F 10" 90 90 8,000 lb B E 10" 90 90 90 8,000 lb 01 --> (ii) Assume a uniform shear flow in the entire closed section. (iii) Then equate the sum of the moments from (i) and (ii) about some point (for e.g., D) to the moment due to the 8000 lb force about the same point to determine
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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Transcribed Image Text:Problem 1:
Consider the idealized closed section shown which carries
a shear force of 8000 lb at the location shown. Determine
the shear flows in the webs of the idealized beam shown
for the following two cases.
(a) All stringers have an area of 1 in².
(b) The two right hand side stringers have an area of 3 in²
and all other stringers have an area of 1 in².
An alternative solution path to solve for the shear flows is as follows. It is possible to find the shear
flows by the superposition of the shear flow values obtained by (i) assuming one of the webs in
the section to be cut, and (ii) the uniform shear flow along the entire circumference of the closed
section (see the figure below). Then, by equating the moments from both (i) and (ii) to the moment
due to the shear force Vy, the value of qo can be evaluated. Using this alternative method, solve for
the shear flows for the following case:
A
(c) The two left hand side stringers have an area of 3 in² and all other stringers have an area of
1 in².
Alternate solution path:
F
10"
qAB
qEF
B
E
10 --
qBC
qCD
DE
K-6"
8,000 lb
(i) Calculate the shear flow due to
the applied shear force Vy of the
open section (considering one of
the webs to be cut).
A
qo
F
10"
90
90
8,000 lb
B
E
10"
90
90
90
8,000 lb
01 -->
(ii) Assume a uniform shear flow
in the entire closed section.
(iii) Then equate the sum of the moments from (i) and (ii) about some point (for
e.g., D) to the moment due to the 8000 lb force about the same point to determine
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