Structural Analysis, 5th Edition
Structural Analysis, 5th Edition
5th Edition
ISBN: 9788131520444
Author: Aslam Kassimali
Publisher: Cengage Learning
bartleby

Concept explainers

Question
100%
Book Icon
Chapter 2, Problem 1P
To determine

Calculate the loads that is acting on the floor beam BE and girder AC.

Expert Solution & Answer
Check Mark

Answer to Problem 1P

The uniformly distributed load acting on the floor beam BE is 3.84kN/m_.

The load acting at A, B, and C on the girder AC are PA=5.76kN_, PB=11.52kN_, and PC=5.76kN_.

Explanation of Solution

Given information:

The building is a single-story building.

The building is subjected to uniformly distributed load of wUDL=0.96kPa.

Calculation:

Show the roof of the single-story storage building as shown in Figure 1.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  1

Refer Figure 1.

The columns are denoted by A, C, D, and F.

The floor beam is denoted by BE.

The girders are denoted by AC and DF.

Show the tributary area of the floor beam BE as shown in Figure 2.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  2

Refer Figure 2.

The tributary area of the floor beam BE is denoted by the shaded area.

Calculate the tributary area of the floor beam BE (A1) as follows:

A1=4m×6m=24m2

The length of the floor beam BE is L=6m.

Calculate the uniformly distributed load (W1) acting on the floor beam BE as follows:

W1=wUDL×A1L

Substitute 0.96kPa for wUDL, 6m for L and 24m2 for A1.

W1=0.96kPa×24m26m=3.84kN/m

Show the uniformly distributed load acting on the floor beam BE as shown in Figure 3.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  3

Refer Figure 3.

The reactions at B and E are denoted by RB and RE respectively.

The loading on the floor beam BE is symmetrical.

Calculate the value of RB and RE using the relation:

RB=RE=3.84kN/m×6m2RB=RE=11.52kN

Show the uniformly distributed load acting on the floor beam BE as shown in Figure 4.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  4

Refer Figure 4.

Thus, the uniformly distributed load acting on the floor beam BE is 3.84kN/m_.

Show the tributary area of the girder AC as shown in Figure 5.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  5

Refer Figure 5.

The tributary area of the girder AC is denoted by the shaded area.

Calculate the tributary area of the girder AC (A2) as follows:

A2=8m×3m=24m2

Calculate the load (W2) acting on the girder AC as follows:

W2=wUDL×A2

Substitute 0.96kPa for wUDL and 24m2 for A2.

W2=0.96kPa×24m2=23.04kN

The total load acting on the tributary area of the girder AC is 23.04kN.

Almost half the load acts at the junction of the floor beam BE and the girder AC. Then,

The load acting at B is 11.52kN.

The remaining half of the load acts equally on the column A and C. Then,

The load acting at A is 5.76kN and the load acting at C is 5.76kN.

Show the load acting on the girder AC as shown in Figure 6.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  6

Refer Figure 6.

The reactions at A and C are denoted by RA and RC respectively.

The loading on the girder AC is symmetrical.

Calculate the value of RA and RC using the relation:

RA=RC=(5.76+11.52+5.762)kNRA=RC=11.52kN

Show the load acting on the girder AC as shown in Figure 7.

Structural Analysis, 5th Edition, Chapter 2, Problem 1P , additional homework tip  7

Refer Figure 7.

Thus, the load acting at A, B, and C on the girder AC are PA=5.76kN_, PB=11.52kN_, and PC=5.76kN_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Three transportation projects have been proposed to increase the safety in and around a residential neighborhood. Each project consists of upgrading existing street signing to highly retroreflective sheeting to increase visibility. The following table shows the initial construction costs, annual operating costs, useful life of the sheeting, and salvage values for each alternative. Annual Operations and Maintenance Initial Construction Alternative Cost ($) 1 16,000 2 3 7,500 18,000 Costs ($) 2,000 3,750 2,000 Useful Life (years) Salvage Value ($) 10 5 10 6,000 850 7,300 Assume that the discount rate is 10 percent. Calculate the present worth (in dollars) for each alternative. (Assume for Alternative 2 that new sheeting must be purchased at the end of the first five years, and that all operations and maintenance costs are due at the end of each year.) PW1 PW 2 = $25967 Your response differs from the correct answer by more than 10%. Double check your calculations. = $21185.5 x PW 3 = $…
Average demand on a rural roadway ranges from zero to 700 veh/day when the cost per trip goes from $1.50 to zero. (a) Calculate the net user benefits per year (in dollars) if the cost decreases from $1.00 to $0.50/trip (assume a linear demand function). Enter a number. (b) Compare the value calculated in (a) with the benefits as calculated in typical highway studies. (Enter the benefits in dollars as calculated in typical highway studies.) $
help me with this Question for revision purpose and as well with references The office building was built in year 2017 and has not obtained any Green Mark certification before. The office building is occupied by a single tenant/entity. The building management team had done an analysis of the building’s energy performance by extracting the data from the various systems. The current performance and findings of the systems are listed in Appendix A. The client is considering to have the building undergo retrofitting to improve the building’s energy performance. The objective is to achieve Green Mark Gold Plus under the new Green Mark 2021 framework. For part (a) below, you are to use Pathway 1: EUI for this. (a) As part of the feasibility exercise, you are to interpret the current performance of the existing building based on the data available (Refer to Appendix A). You should then organise and present to the client how does the current building relate to the Energy Efficiency Section of…
Knowledge Booster
Background pattern image
Civil Engineering
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.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Structural Analysis
Civil Engineering
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:Cengage,
Text book image
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781305081550
Author:Braja M. Das
Publisher:Cengage Learning
Text book image
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Text book image
Steel Design (Activate Learning with these NEW ti...
Civil Engineering
ISBN:9781337094740
Author:Segui, William T.
Publisher:Cengage Learning
Text book image
Architectural Drafting and Design (MindTap Course...
Civil Engineering
ISBN:9781285165738
Author:Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:Cengage Learning
Text book image
Engineering Fundamentals: An Introduction to Engi...
Civil Engineering
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Cengage Learning