Question
Asked Dec 6, 2019
111 views

Find reactions, max absolute shear force, max absolute bending moment, draw shear force and bending moment diagrams by Moment Distribution Method. (Given uniform loadings w1 = 1 k/ft between A and B, w2 = 2 k/ft between B and C, w3 = 3 k/ft between C and D, and E= 29,000 ksi and I = 1170 in4 )

Please read the question carefully and answer exactly what is asked

Question 4 (25 points)
Find reactions, max absolute shear force, max absolute bending
moment, draw shear force and bending moment diagrams by
Moment Distribution Method. (Given uniform loadings w1 = 1
k/ft between A and B, w2 = 2 k/ft between B and C, w3 = 3 k/ft
between C and D, and E= 29,000 ksi and I = 1170 in4)
A
D
C=
-25 ft
30 ft
-25 ft
El = constant
%3D
help_outline

Image Transcriptionclose

Question 4 (25 points) Find reactions, max absolute shear force, max absolute bending moment, draw shear force and bending moment diagrams by Moment Distribution Method. (Given uniform loadings w1 = 1 k/ft between A and B, w2 = 2 k/ft between B and C, w3 = 3 k/ft between C and D, and E= 29,000 ksi and I = 1170 in4) A D C= -25 ft 30 ft -25 ft El = constant %3D

fullscreen
check_circle

Expert Answer

Step 1

Calculating stiffness of beam:

help_outline

Image Transcriptionclose

4EI Stiffness of AB (Far end is fixed) 4x 29000x1170 25 = 5428800 k-ft/rad Stiffness of BA = 5428800 k-ft/rad 4EI Stiffness of BC = (Far end is fixed) 4x 29000×1170 30 = 4524000 k-ft/rad Stiffness of CB = 4524000 k-ft/rad 4EI Stiffness of CD =. (Far end is fixed) 4x 29000x1170 25 = 5428800 k-ft/rad Stiffness of DC = 5428800 k-ft/rad

fullscreen
Step 2

Calculating fixed end moments of the given beam in different section of the beam:

Note: Considering intermediate support B and C as a fixed support.

help_outline

Image Transcriptionclose

wL MFAB 12 1× 25 12 =-52.08 k-ft MFBA 52.080 k-ft wL MFBC 12 2x30 12 =-150 k-ft Месв 150 k-ft MECD 12 3x 25? 12 =-156.25 k-ft MEDC =156.25 k-ft

fullscreen
Step 3

Distribution Factor ...

help_outline

Image Transcriptionclose

Total Stiffness Joint Member Relative DF (k-ft'rad.) Stiffness (k-ft'rad.) 5428800 BA 5428800 = 0.54 9952800 B 9952800 4524000 = 0.46 BC 4524000 9952800 4524000 CB 4524000 = 0.46 9952800 5428800 9952800 5428800 0.54 CD 9952800

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Civil Engineering

Structural Analysis

Related Civil Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Cellulose is to be burned in a waste to energy facility. The chemical equation for cellulose is C6H1...

A: (a)Write the balance Equation.

question_answer

Q: When small particles of diameter d are transported by a moving fluid having a velocity V, they settl...

A: Following is the given information:When small particles of diameter d are transported by a moving fl...

question_answer

Q: Engineering Fundamentals – An Introduction to Engineering 6th Edition – Saeed Moaveni Chapter 6 Fund...

A: a)Provide the dimensions in the equation F=ma as shown below.

question_answer

Q: Estimate the life of a landfill for a user population of 10,000. The available area for the are-type...

A: Consider the per capita generation rate (r) is 4.5 lb./(person/day)Consider the landfill density is ...

question_answer

Q: The cable is subjected to a 150-lb horizontal force at B, and an 80-lb vertical force at C. Determin...

A: Show the free body diagram of the cable as in Figure (1).

question_answer

Q: A mine survey is being conducted from a benchmark located at the coordinate position of N 8300, E 24...

A: Given: coordinate position of benchmark (say o) = N 8300, E 2400And distances of points a, b, c with...

question_answer

Q: On the suction side of a pump, a Bourdon pressure gage reads 40 kPa vacuum ( = - 40 kPa). What is th...

A: The local atmospheric pressure is 100 kPa.The gage pressure is 40 kPa vacuum = - 40 kPa.

question_answer

Q: FLUID MECHANICS-WATER HAMMER The length of a 20cm rigid pipe carrying 0.15m3/s of water at 10oC is e...

A: To determine:The length of pipe.

question_answer

Q: 2,55 A sailor is being rescued using a boatswain's chair that is suspended D from a pulley that can ...

A: Given information:Given that the angles are