EBK STRUCTURAL ANALYSIS
6th Edition
ISBN: 9780357030974
Author: KASSIMALI
Publisher: VST
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Chapter B, Problem 9P
To determine
Find the inverse of the matrix using the Gauss Jordan method.
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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.
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.
Chapter B Solutions
EBK STRUCTURAL ANALYSIS
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- Text 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_forwardCalculate 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_forward
- Thank 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_forwardinstructions: 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_forward
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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, 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_forward6. A lake with no outlet is fed by a river with a constant flow of 1200 ft3/s. Water evaporates from the surface at a constant rate of 13 ft3/s per square mile of surface area. The surface area varies with the depth h (in feet) as A (square miles) = 4.5 + 5.5h. What is the equilibrium depth of the lake? Below what river discharge (volume flow rate) will the lake dry up?arrow_forward
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