PROBLEM 1: The beam shown is made up of W 24 x 55 structural steel. It carries an unfactored uniform service dead load of 12.52 KN/m excluding its own weight and an unfactored uniform service live load of 4.15 KN/m. It also carries an unfactored concentrated service dead load of 6.67 KN and an unfactored concentrated live load of 7.84 KN both at its free end. The cantilever beam has a length of 1.56 m. Use A-36 steel and LRFD. 2) What is the unfactored weight of the beam itself in KN/m ? 3) What is the total factored uniformly distributed dead load of the beam in KN/m. ? 4) What is the total factored uniformly distributed load of the beam in KN/m. ? 5) What is the total factored concentrated load of the beam at the free end in KN? 6) What is the actual maximum external shear of the beam in KN? 7) What is the actual maximum external bending moment of the beam in KN-m.? What is the moment capacity of the beam in KN-m.? 9) What is area of the flanges in mm2 ? 10) What is area of the web in mm2 ? 11) What is the shear capacity of the beam in KN? 12) What is the actual deflection of the beam in mm.?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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PROBLEM 1: The beam shown is made up of W 24 x 55 structural steel. It carries an unfactored uniform service dead load of 12.52 KN/m excluding its own weight and an unfactored uniform service live load of 4.15 KN/m. It also carries an unfactored concentrated service dead load of 6.67 KN and an unfactored concentrated live load of 7.84 KN both at its free end. The cantilever beam has a length of 1.56 m. Use A-36 steel and LRFD. 2) What is the unfactored weight of the beam itself in KN/m ? 3) What is the total factored uniformly distributed dead load of the beam in KN/m. ? 4) What is the total factored uniformly distributed load of the beam in KN/m. ? 5) What is the total factored concentrated load of the beam at the free end in KN? 6) What is the actual maximum external shear of the beam in KN? 7) What is the actual maximum external bending moment of the beam in KN-m.? What is the moment capacity of the beam in KN-m.? 9) What is area of the flanges in mm2 ? 10) What is area of the web in mm2 ? 11) What is the shear capacity of the beam in KN? 12) What is the actual deflection of the beam in mm.?

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