STRUCTURAL ANALYSIS (LL)
6th Edition
ISBN: 9780357030967
Author: KASSIMALI
Publisher: CENGAGE L
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Chapter B, Problem 3P
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A4.2- Develop the column interaction diagram for a tied short column, shown in Figure 2.
Given: f'c = 35 MPa
fy = 400 MPa
Longitudinal bars: 8-35M
Ties: 10M@ 300
Clear cover to the ties: 40mm
T
500 mm
500 mm
Figure 2
A4.3- Design a square short column for P₁ = 1800 kN, Mfx = 250 kN.m, Mfy:
f
your final design p has to be between 0.01 and 0.02.
= 50 kN.m. In
Given: f'c = 25 MPa
fy = 400 MPa
Longitudinal bars: Use 25M
Ties: 10M@ 300
Clear cover to the ties: 40mm
A4.1- For a concentrically loaded tied short column, with the cross-section shown in Figure 1,
a) Find the axial load resistance of the column;
b) Check if the spacing between the longitudinal bars is satisfying code requirements;
c) Determine the required spacing between the ties, and sketch the tie arrangement
as per the code.
Given: f'c = 25 MPa
fy = 400 MPa
T
550 mm
550 mm
Maximum aggregate size: 20mm
Longitudinal bars: 8-25M
Figure 1
Ties: 10M (ties are not shown on cross-section. The arrangement to be determined in part c)
Clear cover to the ties: 40mm
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- Consider the following static route choice problem where 110 vehicles travel from point A to point B. The corresponding travel time (in minutes) of each link is as follows: t₁ = x1 ; t₂ = = x2 + 20; t3 = x3 + 10; t₁ = 3x4 where Xi denotes the number of vehicles that choose link i. Find the number of vehicles that travel on each link when a. The user equilibrium condition (UE) is satisfied, where vehicles select the route with the minimum travel time; and b. The system optimum condition (SO) is satisfied, where the total travel time is minimised. C. Report the total delay savings when satisfying SO instead of UE. 2 A B 3 4arrow_forward= Assume an origin is connected to a destination with two routes. Assume the travel time of each route has a linear relationship with the traffic flow on the route (t₁ = α₁ + b₁×₁ ; t₂ b2x2). Determine under what condition (e.g. a relationship among the parameters of the performance functions) tolling cannot reduce the total travel time of the two routes. a2+arrow_forwardFor the soil system presented below, calculate and draw diagrams of distributions of the totaland effective stresses and pore water pressure. Assume an upward water flow with a velocity of0.000,001 cm/s.arrow_forward
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