Traffic And Highway Engineering
5th Edition
ISBN: 9781337631020
Author: Garber, Nicholas J.
Publisher: Cengage,
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Chapter 7, Problem 26P
To determine
Factors are considered in the design of an at-grade railway crossing in addition to those for an at-grade crossing formed by two highways.
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Can you please do hand calcs and breakdown each step
Q4. Statically determinate or indeterminate frame analysis by the stiffness method
a) Determine the stiffness matrix of the frame as shown in Fig. 4. Nodes 1 and 3 are
fixed supports. Assume I = 300(10%) mm, A = 10(103) mm², E = 200 GPa for each
member. Indicate the degrees-of freedom in all the stiffness matrices. Use the values
of L3-3.5 m, w = 24 kN/m and P = 30 kN. Note, L4-1.8L3 (i.e. 1.8 times L3).
b) Determine all the displacement components at node 2 and all internal reactions at
node 2. Show all calculations.
c) Draw the BMD of the frame on the compression side showing all the salient values.
Show all calculations.
d) Repeat the problem using the Strand 7. Show the model with all the nodes and
element numbers and boundary conditions. Submit a hard copy from Strand7
showing all the reactions (highlight these in the hard copy). Display the bending
moment diagram for the frame.
4
e) Compare the BMD from Strand 7 with the theoretical one and compare the
respective values of…
Chapter 7 Solutions
Traffic And Highway Engineering
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
Ch. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28P
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- Can you please do with hand calcs and answer the following: a Determine the global stiffness matrix (K) of the beam including indicating correct degrees-of freedom (dof) b i) Calculate vectors D and Q ii) Show partition and solve KD=Q for D iii) Calculate all reactions c BMD & max BM, deflected shape d i) Solve the problem using Strand7 (model) ii) Display the deflected shape and BMD e Comparisons of reactions + Max BM including commentsarrow_forward5-1. Determine the force in each member of the truss, and state if the members are in tension or compression.arrow_forwardI have the correct answer provided, just lookng for a more detailed breadown of how the answer was obtained thanks.arrow_forward
- Q1. Statically indeterminate beam analysis. a) Calculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the moment distribution method. The beam is subjected to an UDL of w kN/m. L1= 0.4L. Assume the support at C is pinned, and A and B are roller supports. E = 200 GPa, I=250x106 mm². Use the values of w = 50 kN/m and L = 6 b) Draw the shear force and bending diagrams for the entire beam. c) Calculate the BMs at all the joints of the same beam shown in Fig.1 using the slope deflection method. d) Compare the values of BMs obtained using the two methods a) and c) and comment. w kN/m £1m Lm m Fig 1. Beam for Q1arrow_forwardI have the answer provided for the question, just looking for a more detailed breadown of how it was obtained thanks.arrow_forwardQ5.--Finite-element-modelling. a) → Draw-a-2D-element-and-show-the dots (degrees of freedom). Draw-all-the-2D-elements. used-in-Strand 7..Explain the differences between-these-elements-in-terms-of-the-no..of. nodes-and-interpolation/shape-functions used. b)→A-8-m-x-8-m-plate (in-the-xx-plane)-with-8-mm-thickness, is fixed-at-all-the-edges.and.is. loaded-by-a-pressure-loading-of-4 kN/m2.-in-the-downward-(-2)-direction.-The-plate.is. made-of-steel-(E=-200 GPa, density-7850-kg/m3). Explain-the-steps-involved-in-setting. up-a-Strand 7-model-for-this-problem. Your-explanation-should-include-how-the-given. input-data-for-this-problem-will-be-used-in-Strand 7-modelling. Explain how you would. determine the maximum-deflection-from-the-Strand 7-output.-1 11arrow_forward
- I need Help some hw for AutoCAD please use measure front top and side viewarrow_forwardCalculate the discharge of the system shown below. Neglecting minor losessarrow_forwardQ3. Statically determinate or indeterminate beam analysis by the stiffness method a) Determine the global stiffness matrix of the beam shown in Fig. 3. Assume supports at 1 and 3 are rollers and the support at 2 is a pinned support. Indicate the degrees- of freedom in all the stiffness matrices. El is constant. Use the values of w = 50 kN/m and L1 = 2.0 m Note, L2-3L1. b) Determine the rotations at all the nodes of the beam and reactions at the supports. Show all calculations. c) Draw the BMD of the beam on the compression side showing the salient values. What are the maximum bending moments of the beam? Draw the deflected shape of the beam. d) Solve the problem using the Strand7. Assume any suitable value of El (state the value you have used for El). Show the model with all the nodes, element numbers and boundary conditions. Display the deflected shape and BMD. e) Show a table comparing the stiffness method (manual calculations) of the all the reactions and the maximum bending moment…arrow_forward
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