Problem 1: Load Combinations for a Truss: Find the internal forces in Members S A , S B and S C for the shown steel structure caused by the dead loads and wind loads. Find the required nominal resistance the members according to CSA S16 requirements. (As a general requirement, the designer should consider two wind load cases left to right and right to left. For simplicity take only the case of wind blowing left to right). Note: The nominal resistance is R while the factored resistance is R
φL ive L oad
Dead L oad 5 kN
10 kN
5 kN A B A B 3m 3m 3m
3m 3m
3m
3m
3m S A S B S C S A S B S C Part 1-Problems on Loads
Tutorial 2
Problem 2: Tributary Areas for Columns and Live Load Reduction Factors
In a 20 story high rise residential building, the tributary area per column per floor is 8m×5m, calculate the Live Load for the column including the reduction factor for Level 1, Level 10 and Level 18 as shown in the Figure.
Problem 3:Tributary Areas for Beams and Live Load Reduction Factors
In a 20 story high rise residential building, calculate Live Load, which has no reduction factor, for tributary area of beam 1, 2, and 3 as shown in figure.
8m 5m
4
Part 2: Statistical Concepts
Problem 4:
Find the probability of failure for the member if the tensile resistance X(KN) of a member can be
,and the applied tensile load Y(KN) assumed to follow a normal distribution with X=150 ,σ=40
X
.
can be assumed Y=90 , σ=50
Y
Problem 5:
A structural member is under the following axial tensile forces:
Dead loads: mean value 100 kN, standard deviation 10 kN
Live load due to occupancy and use: mean value 100 kN, standard deviation 20 kN
mean value 50 kN, standard deviation 10 kN
Wind loads:
Member capacity: mean value 350 kN, standard deviation 25 kN
Calculate the probability of failure of the member under combinations of dead, live, and wind loads
