BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931

Solutions

Chapter
Section
BuyFindarrow_forward

Structural Analysis

6th Edition
KASSIMALI + 1 other
Publisher: Cengage,
ISBN: 9781337630931
Chapter 5, Problem 7P
Textbook Problem
1 views

Determine the axial forces, shears, and bending moments at points A and B of the structure shown.

Chapter 5, Problem 7P, Determine the axial forces, shears, and bending moments at points A and B of the structure shown.

To determine

Find the axial force, shear, and bending moment at points A and B of the beam.

Explanation of Solution

Sign conversion:

Apply the sign convention for calculating the equations of equilibrium as below.

  • For the horizontal forces equilibrium condition, take the force acting towards right side as positive (+) and the force acting towards left side as negative ().
  • For the vertical forces equilibrium condition, take the upward force as positive (+) and downward force as negative ().
  • For moment equilibrium condition, take the clockwise moment as negative and counter clockwise moment as positive.

Apply the following sign convention for calculating the axial forces, shear and bending moments.

  • When the portion of the beam considered is left of the section, then the external force acting to the left are considered as positive.
  • When the portion of the beam considered is right of the section, then the external force acting to the right are considered as positive.
  • When the portion of the beam considered is left of the section, then the external force acting upward are considered as positive.
  • When the portion of the beam considered is right of the section, then the external force acting downward are considered as positive.
  • When the portion of the beam considered is left of the section, then the clockwise moments are considered as positive.
  • When the portion of the beam considered is right of the section, then the counterclockwise moments are considered as positive.

Calculation:

Show the free-body diagram of the entire beam as in Figure 1.

Find the horizontal reaction at point C by resolving the horizontal equilibrium.

+Fx=0Cx=0

Find the vertical reaction at point D by taking moment about point C.

+MC=0100+25×4×4225×8×82+Dy(8)150(12)=0100+200800+8Dy1800=0Dy=312.5kN

Find the vertical reaction at point C by resolving the vertical equilibrium.

+Fy=0Cy25×12+Dy150=0Cy300+312.5150=0Cy=137.5kN

Pass the sections aa and bb at points A and B respectively.

Show the sections aa and bb as in Figure 2.

Consider section aa:

Consider the left side of the section aa for calculation of internal forces.

Show the free-body diagram of the left side of the section aa as in Figure 3.

Find the axial force at point A by resolving the horizontal equilibrium.

+Fx=0QA=0QA=0

Find the shear at point A by resolving the vertical equilibrium

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 5 Solutions

Structural Analysis
Show all chapter solutions
add
Ch. 5 - 5.1 through 5.11 Determine the axial forces,...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Draw the shear and bending moment diagrams for the...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - 5.55 and 5.56 Classify each of the plane frames...Ch. 5 - 5.55 and 5.56 Classify each of the plane frames...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - Draw the shear, bending moment, and axial force...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...Ch. 5 - 5.57 through 5.71 Draw the shear, bending moment,...

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Explain the difference between the slopes of a nonlinear model and an exponential model.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

What is a common problem in calculating start and finish times? Provide an example.

Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)

Why is spam potentially dangerous? (193)

Enhanced Discovering Computers 2017 (Shelly Cashman Series) (MindTap Course List)

Briefly define the term heat treatment.

Precision Machining Technology (MindTap Course List)

What is the best method for preventing an illegal or unethical activity?

Principles of Information Security (MindTap Course List)

If your motherboard supports ECC DDR3 memory, can you substitute non-ECC DDR3 memory?

A+ Guide to Hardware (Standalone Book) (MindTap Course List)

What types of injuries can occur to the ears during welding?

Welding: Principles and Applications (MindTap Course List)