The water flows from the nozzle through a 180-degree elbow. For example, the pipe diameter D-75mm, the nozzle diameter d=25mm, and the pressure gauge at the front of the pipe reads 60kPa. Find the force of the upper, middle and lower bolts at the flange joint 1-1 position. Assuming that four bolts are installed at the up, down, front and back, the cross-center distance of the four bolts is 150mm, the weight of the elbow and the water is 100N, and the acting position is shown in the figure.

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
icon
Related questions
Question

The water flows from the nozzle through a 180-degree elbow. For example, the pipe diameter D-75mm, the nozzle diameter d=25mm, and the pressure gauge at the front of the pipe reads 60kPa. Find the force of the upper, middle and lower bolts at the flange joint 1-1 position. Assuming that four bolts are installed at the up, down, front and back, the cross-center distance of the four bolts is 150mm, the weight of the elbow and the water is 100N, and the acting position is shown in the figure. 

300 mm
300 mm
100 N
Рм
2
2
2
Transcribed Image Text:300 mm 300 mm 100 N Рм 2 2 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Hello. So the total force on the bolts are equal to the resultant of fv and fh as shown in the picture? Please see my solution if it is correct. 

So Fh in your drawing is equal to the fh on the bolt? I am confused. The question says find the force on the bolt. Is fh referring to the horizontal force on the bolt? Thank you

ܢܐ
ܚܐ1
Transcribed Image Text:ܢܐ ܚܐ1
Fv=100 N (weight due to elbow and water)
Fh=334.59 N (horizontal force on bolt)
FT=Total force on bolt
2
FT=F2+F W
FT=(334.59)²+(100)²
FT = 349.21 N
Solve for the force acting on each bolt:
N=4 (4 bolts)
F= force on each bolt
F
F= I
4
349.21
4
F=87.30 N
F=
Transcribed Image Text:Fv=100 N (weight due to elbow and water) Fh=334.59 N (horizontal force on bolt) FT=Total force on bolt 2 FT=F2+F W FT=(334.59)²+(100)² FT = 349.21 N Solve for the force acting on each bolt: N=4 (4 bolts) F= force on each bolt F F= I 4 349.21 4 F=87.30 N F=
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

Is the Fh equal to the force made on the bolts at flange 1-1 in this question? And can you please plug in the values and the answer so than I can compare with my solution? Please

The water flows from the nozzle through a 180-degree elbow. For example, the pipe diameter D-75mm, the nozzle diameter d=25mm, and the pressure gauge at the front of the pipe reads 60kPa. Find the force of the upper, middle and lower bolts at the flange joint 1-1 position. Assuming that four bolts are installed at the up, down, front and back, the cross-center distance of the four bolts is 150mm, the weight of the elbow and the water is 100N, and the acting position is shown in the figure. 

↑
Here we
use this equation to find
horizental horizontal force. This momentum
equ" is also used.
in y-direction...
Step 2
fe
1₂A₂
Momentum in x.
direct",
-P₁A₁ + FR - P₂.1₂ - Pg|(~21₂ - (1₁/₂) (4)
+ +
P₁ = 60× 10³ pa;
1/2=0; (Grange)
(4₁) = - 4₁2 (1₂) = ¹2
A₁ = π/4 D²
9-1₁ 2₁.
-
Þ. Au
Step 3
So from equ 1).
--P₁ (^/4D²) + E = PAV/2+1/
F₂²=PA₁2 (22₂ + 2) + P (7/4D²)
momentum eqin
F₂-20= fg{(22) - (2)y}
(2₂)₂-0; & (2)y=0
(22)=(
Weight of
F₁₂₁= w =
O
elbow & water
Transcribed Image Text:↑ Here we use this equation to find horizental horizontal force. This momentum equ" is also used. in y-direction... Step 2 fe 1₂A₂ Momentum in x. direct", -P₁A₁ + FR - P₂.1₂ - Pg|(~21₂ - (1₁/₂) (4) + + P₁ = 60× 10³ pa; 1/2=0; (Grange) (4₁) = - 4₁2 (1₂) = ¹2 A₁ = π/4 D² 9-1₁ 2₁. - Þ. Au Step 3 So from equ 1). --P₁ (^/4D²) + E = PAV/2+1/ F₂²=PA₁2 (22₂ + 2) + P (7/4D²) momentum eqin F₂-20= fg{(22) - (2)y} (2₂)₂-0; & (2)y=0 (22)=( Weight of F₁₂₁= w = O elbow & water
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

One last question.

Why can't we use the summation of forces is equal to momentum change or the momentum equation in this problem? 

 

So it becomes like in the image.

 

 

 

ΣFx = P₁A₁ - R = pQ(V₂ - V₁)
Transcribed Image Text:ΣFx = P₁A₁ - R = pQ(V₂ - V₁)
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

The horizontal force due to water acting on the bolt (Fh):

Fh=ρ×A1×V1×V1--V2 Fh=1000×π4×0.0752×1.254×1.254+11.286(

Fh)=69.472

This is the only part I did not understand how to get. Can you please explain more?

I arrived with this equation,

 

-P1A1 - P2A2 (cancelled since atmos. Pres.) +Fh = rho A1v1 (v2-v1)

 

Why did P1A1 disappear in your solution?

How did you come up with (v1 - - v2) ?

What is the control volume? 

Why did you not do a summation of forces is equal to change in momentum but instead go immediately to getting the horizontal force acting on the bolt?

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Fluid Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY