![Connect Access Card For Fundamentals Of Structural Analysis (one Semester Access) 5th Edition](https://www.bartleby.com/isbn_cover_images/9781259820960/9781259820960_largeCoverImage.gif)
Find the reactions and moments of the members in the frame.
Find the horizontal displacement of joint B.
![Check Mark](/static/check-mark.png)
Answer to Problem 27P
Therefore, the horizontal displacement at point B is
Explanation of Solution
Given information:
The value of Young’s modulus (E) is
The moment of inertia (I) of the material is
Calculation:
Show the free-body diagram of the sway as in Figure 1.
Find the stiffness of each member connected to joint B as follows;
Find the total stiffness at joint B as follows;
Find the distribution factors at joint B using the relation;
Find the stiffness of each member connected to joint C as follows;
Find the total stiffness at joint C as follows;
Find the distribution factors at joint C using the relation;
Find the stiffness of each member connected to joint D as follows;
Find the total stiffness at joint D as follows;
Find the distribution factors at joint D using the relation;
Find the fixed end moments in the member AB as follows:
Find the fixed end moments in the member DE as follows:
Find the fixed end moments in the member CF as follows:
Show the moment distribution computations as in Figure 2.
Show the free-body diagram of the members split up as in Figure 3.
Due to symmetry the vertical reaction at the joint C will be zero. Therefore consider the member BCD for the calculation purpose.
Consider member BCD:
Take moment about point B.
Resolve the vertical component of forces.
Consider the member AB:
Take moment about point B;
Also,
Consider the member CF:
Take moment about point C;
Consider the member DE:
Take moment about point D;
Also,
Find the value of using the relation:
Find the horizontal displacement at point B using the relation:
Therefore, the horizontal displacement at point B is
Multiply all the values in the Figure 3 by 0.71 in. to get the corrected reaction and moment values.
Show the final reaction and moment values as in Figure 4.
Want to see more full solutions like this?
Chapter 11 Solutions
Connect Access Card For Fundamentals Of Structural Analysis (one Semester Access) 5th Edition
- Four container contain the same solution of sodium chloride mixture. The containers are alldifferently shaped but have the same height of fluid relative to the base. At a distance of 20cmabove the base, in which container would the pressure be the highest? Explain.arrow_forward2–6. The square deforms into the position shown by the dashed lines. Determine the shear strain at each of its corners, A, B, C, and D, relative to the x, y axes. Side D′B′ remains horizontal.arrow_forwardThe force P applied at joint D of the square frame causes the frame to sway and form the dashed rhombus. Determine the average normal strain developed in wire AC. Assume the three rods are rigid.arrow_forward
- 4. Draw a free body diagram of the loading and forces. Solve for the reaction A at the wall support. Check your answer using the summation of forces. 10k A w=2 k/ft 40ft 10ft 5karrow_forward4. Draw a free body diagram of the loading and forces. Solve for the reaction A at the wall support. Check your answer using the summation of forces. 10k A w=2 k/ft 40ft 10ft 5karrow_forwardA reinforced concrete beam with b=300mm, h=670mm,and d=600 mm, having a span of 7.3 m, can be considered as a fully fixed at the left support and simply supported at the right end. It is reinforced for positive bending with 8-16 and for negative bending with 4816 plus 418. Calculate the collapse load using the plastic hinge method. (20%)arrow_forward
- A reinforced concrete beam with b=300mm, h=670mm,and d=600 mm, having a span of 7.3 m, can be considered as a fully fixed at the left support and simply supported at the right end. It is reinforced for positive bending with 8-16 and for negative bending with 4816 plus 418. Calculate the collapse load using the plastic hinge method.arrow_forwardCalculate the collapse load (P) for the two fixed ended beam shown below. Use equilibrium method P 2 m 4 m L=6 marrow_forwardPlease use virtual work/ force method as I am struggling with that particular concept.arrow_forward
- The anchor from Part A can also fail in shear in the circular head, as shown (Figure 3). What is the minimum thickness tt required for the head to support the allowed load PallowPallow = 15 kNkN if the material fails in shear at τfailτfail = 30 MPaMPa ? Use a factor of safety F.S.F.S. = 2.2.arrow_forwardFind three sites on the www related to reinforced concrete (other than thoselinked to the Syllabus). For each site, provide a written description of the sitecontent and the site’s URL.arrow_forwardVisit the course web page on Canvas. Find the document where the advantagesand disadvantages of reinforced concrete are listed. Provide at least three additionaladvantages and three additional disadvantages. Justify your answer.arrow_forward
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples 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 EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
![Text book image](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)