The two-span steel beam shown below has a fixed support at A and roller support at...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The two-span steel beam shown below has a fixed support at A and roller support at D. The moment hinge at B makes the beam statically determinate. The beam has elastic modulus E-29000 ksi and second moment of area I-1200 in. A X1 5 ft w=0.6 kip/ft B 22 14 ft The numerical values for this beam should be the same as your Homework #1. The external reactions are RA=7.2 kip , MA=28.5 kip-ft, and RD-4.2 kip . 1. Draw the moment diagram by cantilevered parts at A. Note: The sum of the moment parts at B (the hinge location) should be zero. 2. Draw the moment diagram by cantilevered parts at B (the hinge location). 3. Write the moment function, M(x1), and curvature function, K (x1), for segment AB of the beam. Note: You can find the moment function using the methods you learned in statics. 4. Write the moment function, M2(x2), and curvature function, K2(x2), for segment BD of the beam. 5. Write the three boundary conditions (two at A, one at D) and continuity condition at B for the beam. 6. Perform double integration to obtain the deflection function, u(x1), for span AB. 7. Perform double integration to obtain the deflection function, u2(x2), for span BD. 8. Report the magnitude (inch) and direction of the deflection at B (the hinge location). Answer: up=0.011017 inch The two-span steel beam shown below has a fixed support at A and roller support at D. The moment hinge at B makes the beam statically determinate. The beam has elastic modulus E-29000 ksi and second moment of area I-1200 in. A X1 5 ft w=0.6 kip/ft B 22 14 ft The numerical values for this beam should be the same as your Homework #1. The external reactions are RA=7.2 kip , MA=28.5 kip-ft, and RD-4.2 kip . 1. Draw the moment diagram by cantilevered parts at A. Note: The sum of the moment parts at B (the hinge location) should be zero. 2. Draw the moment diagram by cantilevered parts at B (the hinge location). 3. Write the moment function, M(x1), and curvature function, K (x1), for segment AB of the beam. Note: You can find the moment function using the methods you learned in statics. 4. Write the moment function, M2(x2), and curvature function, K2(x2), for segment BD of the beam. 5. Write the three boundary conditions (two at A, one at D) and continuity condition at B for the beam. 6. Perform double integration to obtain the deflection function, u(x1), for span AB. 7. Perform double integration to obtain the deflection function, u2(x2), for span BD. 8. Report the magnitude (inch) and direction of the deflection at B (the hinge location). Answer: up=0.011017 inch
Expert Answer:
Related Book For
Posted Date:
Students also viewed these civil engineering questions
-
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
-
The chief accountant for Ramsey City needed to make adjusting entries before preparing the citys financial statements for calendar year 2022. She wrote a brief paragraph to guide her assistant in...
-
An x-ray machine uses 240 kV rms at 60.0 mA rms when it is operating. If the power source is a 420-V rms line, (a) What must be the turn's ratio of the transformer? (b) What is the rms current in the...
-
How can the validity of work sampling be sold to the employee not familiar with probability and statistical procedure?
-
Identify and discuss the characteristics that make accounting information useful.
-
Consider the liquid storage system shown in figure. Only volumetric flow rates, q and q, can be manipulated. Determine the model degrees of freedom, NF, and the control degrees of freedom,NFC. 96 42...
-
Condensed financial data are presented below for the Tulsa Corporationto answer the following questions: Show your calculations at the end 2021 2020 Accounts receivable $277,500 $230,000 Inventory...
-
1) Le Mademoiselle, a French bakery, sells special marzipan croissants for $6 a piece every Sunday. The production cost per croissant is $5. As any croissant that is not sold before closing time at...
-
There are many examples of projects that have gone off course. Oftentimes, a new project manager is brought in if the situation is dire. For this assignment, find and characterize a project that did...
-
Assume Highline Company has just paid an annual dividend of $1.05. Analysts are predicting an 11.1% per year growth rate in earnings over the next five years. After then, Highline's earnings are...
-
Capital Power has evaluated its program. Using the four levels of evaluation, determine which levels were used. Prepare an evaluation program that will assess the goals of the program and the goals...
-
Sales Total Company $508,500 Variable expenses 254,250 Raner, Harris and Chan is a consulting firm that specializes in information systems for medical and dental clinics. The firm has two offices-one...
-
Can you help me with these questions? Instructions for the Next Two Questions For Questions 14 and 15, please either upload a pdf file containing your answers or use the text entry box in Question 16...
-
Policymakers face a tradeoff between inflation and unemployment. The following table shows the combinations of inflation and unemployment that the government can achieve with existing policies. What...
-
Explain how the graph of each function can be obtained from the graph of y = 1/x or y = 1/x 2 . Then graph f and give the (a) Domain (b) Range. Determine the largest open intervals of the domain over...
-
(x = 2500 psi, (y = 1020 psi, Txy = - 900 psi (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated...
-
A solid round bar of aluminum having diameter d (see figure) is compressed by an axial force P = 60 k. The bar has pinned supports and is made of alloy 2014-T6. (a) If the diameter d = 2.0 in., what...
-
The overhanging beam ABCD supports two concentrated loads P and Q (see figure). (a) For what ratio P/Q will the deflection at point B be zero? (b) For what ratio will the deflection at point D be...
-
Derive the frequency equation for the longitudinal vibration of the systems shown in Fig. 8.28. M p. A, E.1 p.A. E,I M k p. A. E,I ell M k (a) (b) FIGURE 8.28 Bar with different end conditions. (c)
-
Fill in the Blank. The ____________ energy of a beam is denoted by \(\frac{1}{2} \int_{0}^{l} E I\left(\frac{\partial^{2} w}{\partial x^{2}} ight)^{2} d x\).
-
Show that the normal functions corresponding to the longitudinal vibration of the bar shown in Fig. 8.29 are orthogonal. x=0 1000 k x=/ FIGURE 8.29 Bar fixed at one end and connected to a spring at...
Study smarter with the SolutionInn App