Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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Chapter 15, Problem 23P
To determine
The appropriate speed
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WHAT ARE THE COORDINATES (N,E) AT POINT A AND POINT B IN THE SKETCH (ATTACHED)
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 comments
5-1. Determine the force in each member of the truss, and state if the members are in tension or compression.
Chapter 15 Solutions
Traffic and Highway Engineering - With Mindtap
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- I have the correct answer provided, just lookng for a more detailed breadown of how the answer was obtained thanks.arrow_forwardQ1. 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_forward
- Q5.--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_forwardI 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_forward
- Q3. 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_forwardUsing AutoCAD. I need help please to exact measurearrow_forwardDraw Isometric view of this multiview of object.arrow_forward
- REMINDER: The truss must be cut into two different sections. You can choose either one to solve as you will get the same answer. Since there are three equations available, you can't cut more than three members 6.25 Determine the force in members BD, CD, and CE of the truss shown. BO C 36 kips 36 kips D F H 7.5 ft E G 4 panels at 10 ft = 40 ftarrow_forwardCalculate the area of the following polygon using the abscissa and projection method, taking into account the necessary adjustments before calculating the area of the polygon using the compass rule. Latitude Departure Side 930.63 N 930.63 S 1272 E 1271 W AB 122.14 E=12/2-1271-1 cr=-1 680 BC 173.83 length 591 CD 669.13 109.08 DE 139.36 961.1 EA 756.80 201.82 330.63/ 430.65 DEP=L SIN (O) >L DEP/SIN(O) LAT = L COS (0) DEPILATESIN(OYCOS (0)= TAN (0) O TAN-1 (DEP/LAT)= asztan Deptarrow_forwardEstimate the material quantities (cement, sand, gravel, and steel reinforcement) required for constructing 120 m concrete channel of the following typical cross section, concrete mix of 1:1.5:3 and thickness of 20 cm. Figure (1) Figure (1) 12250- 16300arrow_forward
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