Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
Draw and label theV and M 15KN diagrams. Fill in the blanks. Find M- max and the equations for q. V, and M in the region 3x<12. Ag 1131 kN ++ 34×-は Begun Vegu= Magn= V=D@ x= Mux= 3

Draw and label theV and M 15KN diagrams. Fill in the blanks. Find M- max and the equations for q. V, and M in the region 3x<12. Ag 1131 kN ++ 34×-は Begun Vegu= Magn= V=D@ x= Mux= 3

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
Question
### Structural Analysis of Beam In this lesson, we will analyze a simply supported beam subjected to various loads. We will draw and label the shear force (V) and bending moment (M) diagrams, filling in the blanks for shear forces and bending moments, and find the maximum moments as well as determine the equations governing the shear force (V), and bending moment (M) in specific regions. #### Beam Diagram - A simply supported beam AB of length 22 meters - A roller support at point A and a pin support at point B - The beam is subjected to a point load of 6 kN at 3 meters from support A - An angled point load of 15 kN acting at 20 degrees to the horizontal acting 14 meters from support A. #### Support Reactions - Reaction forces calculated at support A (Ay) and support B (By) - \( Ay = 19.29 \, \text{kN} \) - \( By = 22.71 \, \text{kN} \) #### Shear Force (V) Diagram The shear force diagram shows the variation of the shear force along the length of the beam. The shear force at any section is the algebraic sum of all vertical forces either to the left or right of the section. 1. Start at A with \( V = 19.29 \, \text{kN} \) (upward reaction) 2. At 3 meters from A, decrease by 6 kN (due to a downward point load) - \( V = 19.29 - 6 = 13.29 \, \text{kN} \) 3. At B, shear force drops to \( -22.71 \, \text{kN} \). #### Bending Moment (M) Diagram The bending moment diagram indicates the bending effect (moment) of the forces acting on the beam: 1. The moment along the beam changes based on the moments induced by the external loads and support reactions. 2. The bending moment equation \( M_{(x)} \) will be applicable in the region 3 meters < \( x \) < 12 meters. #### Fill in the Blanks - Shear Force, \( V_{(3 < x < 12)} \): - Bending Moment, \( M_{(3 < x < 12)} \): - Maximum Bending Moment,
Transcribed Image Text:### Structural Analysis of Beam In this lesson, we will analyze a simply supported beam subjected to various loads. We will draw and label the shear force (V) and bending moment (M) diagrams, filling in the blanks for shear forces and bending moments, and find the maximum moments as well as determine the equations governing the shear force (V), and bending moment (M) in specific regions. #### Beam Diagram - A simply supported beam AB of length 22 meters - A roller support at point A and a pin support at point B - The beam is subjected to a point load of 6 kN at 3 meters from support A - An angled point load of 15 kN acting at 20 degrees to the horizontal acting 14 meters from support A. #### Support Reactions - Reaction forces calculated at support A (Ay) and support B (By) - \( Ay = 19.29 \, \text{kN} \) - \( By = 22.71 \, \text{kN} \) #### Shear Force (V) Diagram The shear force diagram shows the variation of the shear force along the length of the beam. The shear force at any section is the algebraic sum of all vertical forces either to the left or right of the section. 1. Start at A with \( V = 19.29 \, \text{kN} \) (upward reaction) 2. At 3 meters from A, decrease by 6 kN (due to a downward point load) - \( V = 19.29 - 6 = 13.29 \, \text{kN} \) 3. At B, shear force drops to \( -22.71 \, \text{kN} \). #### Bending Moment (M) Diagram The bending moment diagram indicates the bending effect (moment) of the forces acting on the beam: 1. The moment along the beam changes based on the moments induced by the external loads and support reactions. 2. The bending moment equation \( M_{(x)} \) will be applicable in the region 3 meters < \( x \) < 12 meters. #### Fill in the Blanks - Shear Force, \( V_{(3 < x < 12)} \): - Bending Moment, \( M_{(3 < x < 12)} \): - Maximum Bending Moment,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 12 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Compression members
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS