Structural Analysis (10th Edition)
10th Edition
ISBN: 9780134610672
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 16, Problem 16.7P
To determine
The structure stiffness matrix for the frame.
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Beam ABD is supported and loaded as shown. The cross-section of the beam is also
shown. The modulus of elasticity of the beam is 200 GPa.
6.0 kN/m
Cross-section:
330 mm
4.5 kN
8.0 kNm
40 mm
2.5 m
1.5 m
20 mm
Set up the discontinuity moment function in terms of x.
List all the appropriate boundary conditions.
Determine the slope function in terms of x.
Determine the deflection function in terms of x.
Determine the support reactions.
Determine the maximum deflection.
290 mm
Draw the Shear Force Diagram and Bending Moment Diagram for the beam shown in Fig.1. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.
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Structural Analysis (10th Edition)
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- Calculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the Slope Deflection method. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forwardText Book Problem 7.82 (page 261) Consider the total head-loss in the system forthis flow is 18.56 ft (head-losses in first and second pipe are 13.83 ft and 4.73 ftrespectively). Please show numerical values for EGL/HGL at the beginning/end/intermediatechange point. (Point distribution: elevation determination 5 points, EGL, HGL lines 4points).(I think we are just using the values provided for head losses to solve this problem)arrow_forwardCalculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the moment distribution method, and draw the Shear force diagram and Bending moment diagram for the beam shown. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forward
- Calculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the Slope deflection method. The beam is subjected to an UDL of w=65m. L=4.5m L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200GPa, I = 250x106 mm4.arrow_forwardThank you for your help if you would also provide the equations used .arrow_forwardThe sectors are divided as follows:top right = 1, top left = 2, middle = 3, bottom = 4.(a) Determine the distance yˉ to the centroid of the beam’s cross-sectional area.Solve the next questions by building a table. (Table format Answers) (b) Determine the second moment of area (moment of inertia) about the x′ axis. (c) Determine the second moment of area (moment of inertia) about the y-axis.arrow_forward
- instructions: make sure to follow the instructions and provide complete and detailed solution create/draw a beam with uniformly distributed load and concentrated load after, find the shear and moment equation and ensure to draw it's shear and moment diagram once done, write it's conclusion or observation 4:57 PMarrow_forwardSolve for forces on pin C and Darrow_forwardBorrow pit soil is being used to fill an 900,00 yd3 of depression. The properties of borrowpit and in-place fill soils obtained from laboratory test results are as follows:• Borrow pit soil: bulk density 105 pcf, moisture content = 8%, and specific gravity = 2.65• In-place fill soil: dry unit weight =120 pcf, and moisture content = 16%(a) How many yd3 of borrow soil is required?(b) What water mass is needed to achieve 16% moisture in the fill soil?(c) What is the in-place density after a long rain?arrow_forward
- solve for dt/dx=f(t,x)=x+t^2arrow_forwardCalculate the BMs (bending moments) at all the joints of the beam shown in Fig.1 using the slope deflection method, draw the resulting shear force diagran and bending moment diagram. The beam is subjected to an UDL of w=65m. L=4.5m, L1= 1.8m. Assume the support at C is pinned, and A and B are roller supports. E = 200 GPa, I = 250x106 mm4.arrow_forwardProblem 2 (A is fixed and C is a pin) Find the reactions and A and C. 10 k- 6 ft 6 ft B A 2 k/ft 15 ftarrow_forward
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