BuyFind*arrow_forward*

6th Edition

KASSIMALI + 1 other

Publisher: Cengage,

ISBN: 9781337630931

Chapter 8, Problem 37P

Textbook Problem

133 views

Draw the influence lines for the reaction moment at support *A*, the vertical reactions at supports *A* and *F*, and the shear and bending moment at point *E* of the frame shown in Fig. P8.37.

FIG. P8.37

To determine

Draw the influence lines for the reaction moment at support *A*, the vertical reactions at supports *A* and *F* and the shear and bending moment at point *E*.

**Calculation:**

**Influence line for moment at support A.**

Apply a 1 kN unit moving load at a distance of *x* from left end *C*.

Sketch the free body diagram of frame as shown in Figure 1.

Refer Figure 1.

Apply 1 kN load just left of *C*

Take moment at *A* from *B*.

Consider clockwise moment as positive and anticlockwise moment as negative.

Apply 1 kN load just right of *C* and just left of *D*

Take moment at *A* from *D*.

Apply 1 kN load just right of *D* and just right of *F*

Take moment at *A* from *F*.

Thus, the equation of moment at *A* as follows,

Find the influence line ordinate of *B* using Equation (1).

Substitute 0 for

Find the influence line ordinate of *F* using Equation (2).

The vertical reaction at *F* is 1 kN when 1 kN applied at *F*.

Substitute 20 m for

Thus, the influence line ordinate of *F* is

Similarly calculate the influence line ordinate of

x (m) | Points | Influence line ordinate of |

0 | B | ‑5 |

5 | C | 0 |

10 | D | 5 |

20 | F | 0 |

Sketch the influence line diagram for the moment at support *A* using Table 1 as shown in Figure 2.

**Influence line for vertical reaction at support F.**

Apply a 1 kN unit moving load at a distance of *x* from left end *C*.

Refer Figure 1.

Find the vertical support reaction *F* using equilibrium equation:

Apply 1 kN load just left of *D*

Consider section *DF*.

Consider moment equilibrium at point *D*.

Consider clockwise moment as positive and anticlockwise moment as negative

Apply 1 kN load just right of *D*

Consider section *DF*.

Consider moment equilibrium at point *D*.

Consider clockwise moment as positive and anticlockwise moment as negative

Thus, the equation of vertical support reaction at *F* as follows,

Find the influence line ordinate of *F* using Equation (2).

Substitute 20 for

Thus, the influence line ordinate of *F* is

Similarly calculate the influence line ordinate of

x (m) | Points | Influence line ordinate of |

0 | B | 0 |

5 | C | 0 |

10 | D | 0 |

15 | E | 0.5 |

20 | F | 1 |

Sketch the influence line diagram for the vertical reaction at support *F* using Table 2 as shown in Figure 3.

**Influence line for vertical reaction at support A.**

Apply a 1 kN unit moving load at a distance of *x* from left end *C*.

Refer Figure 1.

Apply vertical equilibrium in the system.

Consider upward force as positive and downward force as negative.

Find the equation of vertical support reaction *B* to *C*

Substitute 0 for

Find the equation of vertical support reaction *C* to *F*

Substitute

Thus, the equation of vertical support reaction at *A* as follows,

Find the influence line ordinate of *F* using Equation (7).

Substitute 20 m for

Thus, the influence line ordinate of *F* is

Similarly calculate the influence line ordinate of

x (m) | Points | Influence line ordinate of |

0 | B | 1 |

5 | C | 1 |

10 | D | 1 |

15 | E | 0.5 |

20 | F | 0 |

Sketch the influence line diagram for the vertical reaction at support *A* using Table 3 as shown in Figure 4.

**Influence line for shear at point E.**

Sketch the free body diagram of the section *BD* as shown in Figure 5.

Refer Figure 5.

Apply equilibrium equation of forces.

Consider upward force as positive

Find the equation of shear force at *E* of portion *BD*

Structural Analysis

Show all chapter solutions

Ch. 8 - 8.1 through 8.3 Draw the influence lines for...Ch. 8 - 8.1 through 8.3 Draw the influence lines for...Ch. 8 - 8.1 through 8.3 Draw the influence lines for...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical reaction...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for vertical reactions at...Ch. 8 - Draw the influence lines for vertical reactions at...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...

Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical reaction...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the shear and bending...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the shears and...Ch. 8 - Draw the influence lines for the reaction moments...Ch. 8 - Draw the influence lines for the shears and...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shears and...Ch. 8 - 8.35 and 8.36 Draw the influence lines for the...Ch. 8 - 8.35 and 8.36 Draw the influence lines for the...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the reaction moment...Ch. 8 - Draw the influence lines for the vertical...Ch. 8 - Draw the influence lines for the shear in panel CD...Ch. 8 - Draw the influence lines for the shear in panel DE...Ch. 8 - Draw the influence lines for the shear in panel BC...Ch. 8 - Draw the influence lines for the shear in panel BC...Ch. 8 - Draw the influence line for the shear in panel CD...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - 8.45 through 8.52 Draw the influence lines for the...Ch. 8 - 8.45 through 8.52 Draw the influence lines for the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - 8.53 through 8.57 Draw the influence lines for the...Ch. 8 - 8.53 through 8.57 Draw the influence lines for the...Ch. 8 - Draw the influence lines for the forces in the...Ch. 8 - 8.53 through 8.57 Draw the influence lines for the...Ch. 8 - Draw the influence line for the vertical...Ch. 8 - 8.59 and 8.60 Draw the influence line for the...Ch. 8 - 8.59 and 8.60 Draw the influence line for the...Ch. 8 - Draw the influence line for the vertical...

Find more solutions based on key concepts

Show solutions The grain-size characteristics of a soil are given in the following table. a. Draw the grain-size distribution ...

Principles of Geotechnical Engineering (MindTap Course List)

Why are automobile tires troublesome in MSW combustion?

Solid Waste Engineering

Determine the number of 3 4 -inch-diameter, Group A bolts required, based on shear and bearing, along line ab i...

Steel Design (Activate Learning with these NEW titles from Engineering!)

State whether the following are true or false. a. Aeolian soils are transported and deposited by wind. b. Marbl...

Fundamentals of Geotechnical Engineering (MindTap Course List)

Why is important to know integral calculus?

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

5. Describe a data dictionary and list the types of information it contains.

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

Which of the following routing protocols has the poorest convergence time? a. EIGRP b. RIP c. BGP d. OSPF e. IS...

Network+ Guide to Networks (MindTap Course List)

What tool is used in Oracle to create users?

Database Systems: Design, Implementation, & Management

A car weighs 3000 lbm and is travelling 60 mph when it has to make an emergency stop. The car comes to a stop 5...

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Solve the preceding problem for the following data: x=1120106,y=430106,xy=780106,and=45.

Mechanics of Materials (MindTap Course List)

Briefly describe how a NoSQL database operates.

Fundamentals of Information Systems

Describe the shorthand representation of the structure of a relational database. Illustrate this technique by r...

A Guide to SQL

While inspecting the timing gears of an engine: Technician A says a gear with cracks, spalling, or excessive we...

Automotive Technology: A Systems Approach (MindTap Course List)

Your manager has asked for your input on ideas for how to improve the likelihood of successful adoption of a ma...

Principles of Information Systems (MindTap Course List)

Some line transients are not damaging to electronic equipment but can cause the equipment to operate improperly...

EBK ELECTRICAL WIRING RESIDENTIAL

Discuss the key features of the electronic payment systems needed to support e-commerce and m-commerce.

Fundamentals of Information Systems

The homogeneous 80-kg sign is suspended from a ball-and-socket joint at O, and cables AD and BC. Determine the ...

International Edition---engineering Mechanics: Statics, 4th Edition

What is data independence, and why is it lacking in file systems?

Database Systems: Design, Implementation, & Management

In addition to the reasons mentioned in this exercise, why else might you want to obtain a copy of yourcredit r...

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

For a sniffer attack to succeed, what must the attacker do? How can an attacker gain access to a network to use...

Principles of Information Security (MindTap Course List)

Ifa transmission does not have a dipstick, how do you check the level of the fluid?

Automotive Technology

What is ransomware? How does an organization protect against it?

Management Of Information Security

Which type of drive is best suited for maintaining large differences in the input and output speeds? Why?

Electric Motor Control

Bad Debt Expense: Percentage of Credit Sales Method Kellys Collectibles sells nearly half its merchandise on cr...

Cornerstones of Financial Accounting

Why is a routine maintenance plan important?

Precision Machining Technology (MindTap Course List)

Welding is defined as a joining process that produces coalescence of materials by heating them with or without ...

Welding: Principles and Applications (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)