Structures Assignment 2 - Flexural (Bending) Members
PHYS-2200: Structures, Assignment 001
Steel Flexural Members & Shear and Bending Diagrams
Name:________________________________ Date Due: __________
Please provide answers to the following questions on a separate sheet of paper and use this assignment sheet as a cover. Please show all work for each question.
1. Sketch the shear and bending moment diagrams for the beam given the loading conditions below:
XXXXXXXXXX85 kN XXXXXXXXXX85 kN
XXXXXXXXXXA XXXXXXXXXXB
XXXXXXXXXX2.500 m XXXXXXXXXXm XXXXXXXXXX500 m
2. Sketch the shear and bending moment diagrams for the beam given the loading conditions below:
XXXXXXXXXXw = 35 kN/m XXXXXXXXXX90 kN
XXXXXXXXXXA XXXXXXXXXXB
XXXXXXXXXX4.500 m
XXXXXXXXXX2.000 m XXXXXXXXXXm
3. Calculate the values of and sketch the shear and bending moment diagrams for the beam given the loading conditions below:
XXXXXXXXXXw = 29 kN/m
XXXXXXXXXXA XXXXXXXXXXB
XXXXXXXXXX5.200 m
4. Determine the most economical size (based on total kg/m of beam) of a W shape beam that would satisfy the load condition as shown below. Given: Î”ALLOW= L/240 and the compression flange is not
aced laterally. Ensure to draw a free body diagram and indicate the end reactions. Also calculate the maximum shear, moment and deflection based on the loading. Justify your beam selection by calculating the actual deflection based on the moment of inertia of the beam selected and indicate the Vr, Mâ€™r and the Ix of the beam selected. Indicate the edition used!
XXXXXXXXXXw = 65 kN/m
A XXXXXXXXXXB
XXXXXXXXXX6.500 m
5. Determine the most economical size (based on total kg/m of beam) of a W shape beam that would satisfy the load condition as shown below. Given: Î”ALLOW= L/240 and the compression flange is not
aced laterally. Ensure to draw a free body diagram and indicate the end reactions. Also calculate the maximum shear, moment and deflection based on the loading. Justify your beam selection by calculating the actual deflection based on the moment of inertia of the beam selected and indicate the Vr, Mâ€™r and the Ix of the beam selected. Indicate the edition used!
XXXXXXXXXX175 kN XXXXXXXXXX175 kN
XXXXXXXXXXA XXXXXXXXXXB
XXXXXXXXXX2.500 m XXXXXXXXXX500 m XXXXXXXXXX2.500 m
6. Determine the most economical size (based on total kg/m of beam) of a W shape beam that would satisfy the load condition as shown below. Given: Î”ALLOW= L/180 and the beam is laterally
aced along the compression flange at the centre of the beam. Ensure to draw a free body diagram and indicate the end reactions. Also calculate the maximum shear, moment and deflection based on the loading. Justify your beam selection by calculating the actual deflection based on the moment of inertia of the beam selected and indicate the Vr, Mâ€™r and the Ix of the beam selected. Indicate the edition used!
Hint: This is a load case #1 and a load case #9
XXXXXXXXXX150 kN XXXXXXXXXXkN
XXXXXXXXXXw = 35 kN/m
XXXXXXXXXXA XXXXXXXXXXB
XXXXXXXXXX2.500 m XXXXXXXXXXm XXXXXXXXXX500 m
7. Given a factored total floor load of 4.8 Kpa select the lightest open web steel joist (OWSJ) that would be capable of supporting this load provided that the joist spacing is 1400 mm o/c and the span of the joists are