2. A uniform 9 metre beam has a mass of 200 kg and is loaded in the vertically by the parallel forces shown. Calculate the reactions at the roller supports A and B. (Answer: FA = 1.99 KN | FB = 5.96 KN
2. A uniform 9 metre beam has a mass of 200 kg and is loaded in the vertically by the parallel forces shown. Calculate the reactions at the roller supports A and B. (Answer: FA = 1.99 KN | FB = 5.96 KN
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
Related questions
Question
Hi,
I solved this problem however I am stuck on the last part of it and I am not sure if the book is wrong with the result or if I am having the correct one. I should have a negative Fa force instead I get the same numerical number but positive. Any clue of why?
![Mathematical Representation
Appey general equation of equilibrium
+5 EM=0
+ ε = 0 +¹1 € Fy=0
+
We Take moment about A
+5€ H₂₁₂=0
By
7
+ (By · 3m) - (Mg⋅ 3.5) - (1₁·5m) + (E-6m) (15 · 8) =
-
6
1 (3,5tg - 5F₁ + 6Ę −85)
= 1 (6857N+15000N- 12000N +800N)
3
= +5952N = 5952 N † ~ 5.96 KN ↑
direction
Appey Equil. in
+1EF=0
-4=
-Ay +By-Mg - F2 + √2₂-3₂ = 0
-Ay = = By + Mg + F₂ = √₂ + √₂
Aq = By - Mg = F₁ +F₂-F3
5952N - 1962N-3000 + 2000N-1000N
=+1990 N = 1990 N $ ~ 1.99 KN
why is the positive?
shouldn't be this
Negative?
Helix
10 20 30 0 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4efc2a5-039b-466f-b774-04edf61d54e8%2F3c28e904-4152-4cbe-9267-fe27d4ce86a0%2F7omfgwm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mathematical Representation
Appey general equation of equilibrium
+5 EM=0
+ ε = 0 +¹1 € Fy=0
+
We Take moment about A
+5€ H₂₁₂=0
By
7
+ (By · 3m) - (Mg⋅ 3.5) - (1₁·5m) + (E-6m) (15 · 8) =
-
6
1 (3,5tg - 5F₁ + 6Ę −85)
= 1 (6857N+15000N- 12000N +800N)
3
= +5952N = 5952 N † ~ 5.96 KN ↑
direction
Appey Equil. in
+1EF=0
-4=
-Ay +By-Mg - F2 + √2₂-3₂ = 0
-Ay = = By + Mg + F₂ = √₂ + √₂
Aq = By - Mg = F₁ +F₂-F3
5952N - 1962N-3000 + 2000N-1000N
=+1990 N = 1990 N $ ~ 1.99 KN
why is the positive?
shouldn't be this
Negative?
Helix
10 20 30 0 0
![2. A uniform 9 metre beam has a mass of 200 kg and is loaded in
the vertically by the parallel forces shown. Calculate the
reactions at the roller supports A and B.
(Answer: FA = 1.99 KN
FB = 5.96 kN)
m
m
3 kN
↓
11 m.
1 kN
2 KN
m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4efc2a5-039b-466f-b774-04edf61d54e8%2F3c28e904-4152-4cbe-9267-fe27d4ce86a0%2Fdjtm874_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. A uniform 9 metre beam has a mass of 200 kg and is loaded in
the vertically by the parallel forces shown. Calculate the
reactions at the roller supports A and B.
(Answer: FA = 1.99 KN
FB = 5.96 kN)
m
m
3 kN
↓
11 m.
1 kN
2 KN
m
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Follow-up Question
I understand what you say, however, shouldn't the formula confirm the direction I assumed in the first place is correct or incorrect? For the force acting on B, I assumed the force was positive and indeed I had a positive numerical value. So, I still don't understand why I get a positive one acting on A if my first assumption what that the force is negative. Could you please evaluate this as I want to make sure I understood the concept.
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