EBK STRUCTURAL ANALYSIS
6th Edition
ISBN: 9780357030974
Author: KASSIMALI
Publisher: VST
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Chapter 3, Problem 17P
To determine
Calculate the support reactions for the given structures.
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a) Determine the global stiffness matrix of the beam shown in Figure below. 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. EI is constant. Use the values of w and L1 as 50 kN/m and 1.75m, respectively. 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.
20 ft
8 #8 in
2-layers
18 in
30 in
a) Calculate the BMs (bending moments) at all the joints of the beam shown in Figure below 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 = 250x10^6 mm4. Use the values of w and L as 50kN/m and 5m respectively.
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 Figure using the slope deflection method.
d) Compare the values of BMs obtained using the two methods a) and c) and comment.
Chapter 3 Solutions
EBK STRUCTURAL ANALYSIS
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