Foundation Design: Principles and Practices (3rd Edition)
3rd Edition
ISBN: 9780133411898
Author: Donald P. Coduto, William A. Kitch, Man-chu Ronald Yeung
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 2, Problem 2.6QPP
A simply supported beam has a length of 3 m and carries a distributed load with a mean of 5 kN/m and a COV of 0.2. Assuming the load is normally distributed, what are the mean and standard deviation of the maximum moment in the beam? What is the probability the maximum moment will exceed 7 kN-m?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule08:38
Students have asked these similar questions
A simple beam AB with a total length of 2.40 meters is subjected to a trapezoidal distributed load. The intensity of the load varies from 1.00 kN/m at support A to 3.00 kN/m at support B.
What is the reaction at support A and B.What is the resultant applied load?What is the degree of shear-force equation?What is the value of shear force at x = 2.00 m from support A?What is the distance of absolute maximum bending moment from support B?What is the value of bending moment at x = 2.35m?What is the value of absolute maximum bending moment? What is the value of shear force at x = 1.80 m?
Question 1: Consider a non-uniform 10m long cantilever beam, with flexural rigidity of EI(x)= 300/x+20 kNm2
a) What is the flexural rigidity at each end of the beam?
b) Calculate the deflection function for this beam under a uniform distributed load of 10N/m over the whole beam.
Question 2: Consider a uniform 10m long beam, with flexural rigidity of 12,000Nm2 that has a fixed supports on both ends.
A weight is hung under the beam—attached via cable at the x = 3 point—applying a downward force of 200 N . At the same time a winch is connected to the beam—via a cable attached at the x = 7 point—pulling upward with a force of 200N.
a) What load function, f(x), represents this load?
b) Calculate the deflection function for the beam.
c) Include a picture of the beam when it is under load.
Question 3: Consider a non-uniform cantilever beam that is 1 m long and whose flexural
rigidity is given by the function EI(x) = 30/x+2 kNm2.
a) Calculate the influence function (a.k.a., “Green’s…
An 8-m simply supported beam carries a concentrated load of 40 kN at a
distance of 3.25 m from the left support. How far (m) from the left
support is the location of the maximum deflection? The flexural rigidity
EI is equal to 10000 kN-m2. Enter a positive value. Just indicate the
direction of the deflection in your solution.
Next»
Chapter 2 Solutions
Foundation Design: Principles and Practices (3rd Edition)
Ch. 2 - Classify the uncertainty associated with the...Ch. 2 - Figure 2.1 shows the PDF for a normal distribution...Ch. 2 - List three sources of epistemic uncertainty...Ch. 2 - Using a random number generator create a sample of...Ch. 2 - A certain column will carry a dead load estimated...Ch. 2 - A simply supported beam has a length of 3 m and...Ch. 2 - Using the data shown in Figure 2.5 determine the...Ch. 2 - The capacity for a certain foundation system is...Ch. 2 - We wish to design a shallow foundation with a...Ch. 2 - Prob. 2.10QPP
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Samples of coarse aggregate from a stockpile are brought to the laboratory for determination of specific gravit...
Materials for Civil and Construction Engineers (4th Edition)
Distance Traveled Assuming there are no accidents or delays, the distance that a car travels down an interstate...
Starting out with Visual C# (4th Edition)
This key word is used to declare a named constant. a. constant b. namedConstant c. final d. concrete
Starting Out with Java: From Control Structures through Objects (6th Edition)
ICA 7-1
Express the following values using scientific notation, engineering notation, and using an appropriate ...
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Explain why using model checking is sometimes a more cost-effective approach to verification than verifying a p...
Software Engineering (10th Edition)
(Fibonacci number iterator) Define an iterator class named Fibonacci Iterator for iterating Fibonacci numbers. ...
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Knowledge Booster
Similar questions
- Question 3 (a) A cross section through a wooden beam 200mm side by 220mm deep is shown in figure 3a. The beam has recently been strengthened by the addition of two steel plates 205mm deep by 5mm thick which have been bolted to each face of the beam. The beam is simply supported and carries a uniformly distributed load of 6kN/m on a span of 5m. (i) What was the max bending stress in the wooden beam before the addition of the steel plates? (Ignore the self-weight of the beam in your calculations.) (ii) Determine for the strengthened beam the maximum stress in the steel and wood due to flexure. (Assume that the bolts are adequate to ensure composite action and ignore the effect of any bolt holes on the cross section properties. The load was removed during the addition of the steel plates and then reapplied to the new composite beam). Take the elastic modulus for steel as Es = 200 x 10° N/m² and for the wood Ew = 10 x 10° N/m² 5 5 200 7.5 || 220mm Figure 3a: Cross Section 205 7.5arrow_forwardA steel beam, of lengths a= 6 m and b= 3 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q = 3.1 kN/m for AB span; and is constant with q= 3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part A Calculate: A y, v a 5 mm 200 mm Figure Q.1 9 S B 300 mm b с Xarrow_forwardA steel beam, of lengths a = 6 m and b = 3 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q = 3.1 kN/m for AB span; and is constant with q = 3.1 kN/m for BC span. The Young's modulus of steel is 200 GPa. A y, v a 5 mm 200 mm Figure Q.1 9 A B 300 mm b C Xarrow_forward
- Question 3 (CLO#2) The beam structure shown in Figure 2 below supports a uniformly distributed load of 100 kN/m and a concentrated load of 250 kN. The beam has a box-shaped cross-section with the dimensions provided below. Determine the following: .a) The magnitudes and location of the maximum bending moment and shear force that occur in the beam. .b) The geometric centroid and moment of inertia of the box beam cross-section. .c) The magnitude and location of the maximum bending stress(es) within the beam. .d) Based on your findings from part c), determine which of the following ductile materials would be most appropriate for the design of this beam (considering strength only). Discuss your reasoning. o Material A with yield strength of 175 MPa o Material B with yield strength of 345 MPa o Material C with yield strength of 210 MPaarrow_forwardAn overhanging beam supports the loads as shown in the figure. If El 3000.65 kNm², determine the value of deflection at point Fin millimeters.arrow_forwardA steel beam, of lengths a=5 m and b=4 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q=4.6 kN/m for AB span; and is constant with q=4.6 kN/m for BC span. The Young's modulus of steel is 200 GPa. Part B a Answer: 9 B Answer: b Perform double integration of the bending moment equations. You will obtain deflections in this form: for 0≤x≤ a vEI = F(x) + C₁x + C3 VEI= G(x) + C₂x + C₁ for a ≤ x ≤a+b X Calculate: e) the value of the integration constant C₂. Enter your answer in kNm² to three decimal places. f) the value of the integration constant C4. Enter your answer in kNm² to three decimal places.arrow_forward
- A 20 m long beam has two supports, A and B. The beam is pinned at Support A and supported by a roller at Support B, and it has an 18kN car in the middle of it. For this system, a free-body diagram (FBD), as well as a shear and bending moment diagram, should be drawn. You could discuss the results and explain the beam's stress. What is the main purpose and concept of this experiment?arrow_forwardA simply supported beam having a length of 11.5 m, carrying a uniformly distributed dead load of 6 kN/m, and a uniformly distributed live load of 9 kN/m. The following properties are recorded in the beam: Ig = 9000x10^6 mm^4, Icr = 4500x10^6 mm^4, Ec = 21,000 MPa, %3D Mcr = 100 kN-m. a.) Determine the value of Ma b.) Determine the value of le(DL+LL) c.) Determine the value of Instantaneous deflection of Midspan (DL+LL)arrow_forwardAn 8-m simply supported beam carries a concentrated load of 40 kN at a distance of 3.25 m from the left support. How far (m) from the left support is the location of the maximum deflection? The flexural rigidity EI is equal to 10000 kN-m². Enter a positive value. Just indicate the direction of the deflection in your solution.arrow_forward
- A simply supported beam has a length of 3 m and carries a distributed load with a mean of5 kN/m and a COV of 0.2. Assuming the load is normally distributed, what are the mean andstandard deviation of the maximum moment in the beam? What is the probability the maximummoment will exceed 7 kN-m?arrow_forwardAnswer all.arrow_forwardCan you please answer this questionarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning