EBK STRUCTURAL ANALYSIS
6th Edition
ISBN: 9780357030974
Author: KASSIMALI
Publisher: VST
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Chapter 4, Problem 18P
To determine
Find the forces in the members of the truss by the method of joints.
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Calculate the instantaneous deflections and the long term-term deflections after 15 years for the flat roofbeam shown below (simply supported). Use fy = 60,000 psi, fc′ = 4000 psi, and assume that the uniformdead load value shown does not include beam weight, and that none of the concentrated live loads aresustained. The concrete weight is 135 pcf. Investigate the deflection acceptability of the beam accordingto the ACI Code.
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
Chapter 4 Solutions
EBK STRUCTURAL ANALYSIS
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54P
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