A triangular distributed load of max intensity w acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the largest load intensity, wmax, that can be applied if the pin at D can support a maximum force of Dmax= 20000 N. Also determine the reactions at A and C and express each answer in Cartesian components. Assume the masses of both beam AB and member CD are negligible.

A triangular distributed load of max intensity w acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the largest load intensity, wmax, that can be applied if the pin at D can support a maximum force of Dmax= 20000 N. Also determine the reactions at A and C and express each answer in Cartesian components. Assume the masses of both beam AB and member CD are negligible.

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

Need help, please round answers to 3 sig figs

A triangular distributed load of max intensity w acts on beam
AB. The beam is supported by a pin at A and member CD,
which is connected by pins at C and D respectively.
Determine the largest load intensity, wmax, that can be
applied if the pin at D can support a maximum force of
Dmax=20000 N. Also determine the reactions at A and C
and express each answer in Cartesian components. Assume
the masses of both beam AB and member CD are
negligible.
a
b
C
00
Variable Value
6.9 m
13.11 m
4.83 m
2016 Eric Davishahl
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
-5536
D
-11469
y₁
The maximum load intensity is Wmax =
592
N/m.
The reaction at A is A = 16384.3
xN.
The reaction at C' is = 16383
xN.
B
Xi+
xi+

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Step 1: GIVEN VALUES IN QUESTION

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Step 2: FREE BODY DIAGRAM

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Step 3: EQUIVALENT LOAD INTENSITY CALCULATION

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Step 4: REACTIONS CALCULATIONS

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Step 5: REACTIONS CALCULATIONS

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