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 9, Problem 23P
Textbook Problem
12 views

Determine the absolute maximum bending moment in a 60 ft long simply supported beam due to the series of four moving concentrated loads shown in Fig. P9.14.

Chapter 9, Problem 23P, Determine the absolute maximum bending moment in a 60 ft long simply supported beam due to the

FIG. P9.14, P9.16, P9.19, P9.23

To determine

Find the absolute maximum bending moment in a 60 ft long simply supported beam.

Explanation of Solution

Calculation:

Sketch the simply supported beam as shown in Figure 1.

Sketch the loading position and resultant as shown in Figure 2.

Refer Figure 2.

Find the resultant load (PR).

PR=10+20+20+5=55k

Find the location of the resultant (x¯).

Consider moment of the resultant about a point equals the sum of the moments of the individual loads about the same point.

Take moment at load 1.

PR(x¯)=20(15)+20(25)+5(35)PR(x¯)=975

Substitute 55 k for PR.

(55)x¯=975x¯=17.72ft

Find the position of loads on the beam.

We observe that the resultant is closest to the second load. Hence, the maximum bending moment occurs under the second load. The series of the load is positioned on the beam so that the midspan of the beam is located halfway between the load 2 and the resultant.

Find the distance between the resultant and second load.

x2=x¯15

Substitute 17.72ft for x¯.

x2=17.7215=2.72ft

Find the position of second load and resultant from center of the beam.

Location of resultant=x22

Substitute 2

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

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Using Excel or a spreadsheet of your choice, create interesttime factor tables, similar to Table 20.9, for i = ...

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

What feature of a lathe cutting tool has a direct effect on surface finish?

Precision Machining Technology (MindTap Course List)

Identify and briefly describe five common fact-finding methods.

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

Describe security risks associated with wireless access. Identify ways to secure your wireless network.

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

What are the advantages of welded piping systems over other joining methods?

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)