   # Draw the influence line for the vertical deflection at point B of the cantilever beam of Problem 8.5. EI = constant. See Fig. P8.5. FIG. P8.5, P8.58

#### Solutions

Chapter
Section
Chapter 8, Problem 58P
Textbook Problem
56 views

## Draw the influence line for the vertical deflection at point B of the cantilever beam of Problem 8.5. EI = constant. See Fig. P8.5. FIG. P8.5, P8.58

To determine

Sketch the influence line for the vertical deflection at the point B of the given cantilever beam.

### Explanation of Solution

Given information:

Calculation:

Consider a point load is acting at a distance x from the fixed end of the given cantilever beam.

Show the loading on the cantilever beam as shown in Figure 1.

Refer Figure 1.

Consider the beam portion ranges from 0ftx24ft.

Show the expression for the deflection of the cantilever beam due to point load P acting at a distance a from the fixed end as follows:

Δ=Px26EI(3ax),0<x<a        (1)

Here, E is modulus of elasticity of the beam, I is the moment of inertia.

Calculate the deflection (fBX) of the cantilever beam at point B due to the unit point load acting at a distance x from the fixed end.

Substitute 1 for P and 24ft for a in Equation (1).

fBX=x26EI(3×24x)fBX=16EI(72x2x3)fBX=16EI(x372x2)        (2)

Consider the load is acting at a distance x as 2ft.

Calculate the deflection at B as follows:

Substitute 2ft for x in Equation (2).

fBX=16EI(2372×22)fBX=46.66EI

Similarly, calculate the deflection at point B due to different position of the point load and tabulate the values as shown in Table 1.

 x (ft) fBX 2 −46.66EI 6 −396EI 10 −1033.33EI 14 −1894

### 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

Find more solutions based on key concepts
A plugged dishwasher sink with the dimensions of 2 ft 1.5 ft 1 ft is being filled with water from a faucet wi...

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

Convert 10,000 ft-lbf of energy into BTU, Joules, and kilojoules.

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Where can you obtain plug-ins? (88)

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

What is the gear ratio found in the gear train of most indexing heads?

Precision Machining Technology (MindTap Course List)

What enterprise resource planning (ERP)? What is supply chain management (SCM)?

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

The most commonly used brake fluid in domestic vehicles is: DOT 2 DOT 3 DOT 4 DOT 5

Automotive Technology: A Systems Approach (MindTap Course List)

Which of the systems are equivalent to the force-couple system in (a)?

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

Which VLAN on a switch manages untagged frames?

Network+ Guide to Networks (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) 