1.A 9.0m span building roof is formed by a statically determinate pin jointed, triangulatedframework, and loaded by two imposed actions as shown in figure 1. The structuralelements are manufactured from mild steel. The top and bottom chord sections are152x152x23 UC, the internal sections are 80x80x8 RSA.(a) State the three Laws of Static Equilibrium and calculate the values of the reactions.(b) Stating your sign convention, obtain the sense and magnitude of the internal forcesin all the framework elements. Show your answer diagrammatically.(c) Use Castigliano's Theorem to determine the vertical deflection at joint E.(d) State whether you consider the stiffness of this framework to be adequate for a steelframed building structure, giving reasons for your decision.(e) For the loading direction shown, determine whether element AB is adequate forstrength according to EN1993 if the steel grade is S275 JR. Assume that joints A,B, C and D are positions of lateral restraint about the y-y axis; and only joints Aand D are positions of lateral restraint about the z-z axis. To check strength a loadpartial safety factor of 1.5 should be applied to the internal forces calculated in (b)above.190 KN120 kNBFE3.000 m3.000 m3.000 m4.000 m

Area (152x152x23) = 2920mm2 Area (80x80x8) = 1230mm2 Apply unit vertical load at E for deflection…

A 9.0m span building roof is formed by a statically determinate pin jointed, triangulated framework, and loaded by two imposed actions as shown in figure 1. The structural elements are manufactured from mild steel. The top and bottom chord sections are 152x152x23 UC, the internal sections are 80x80x8 RSA. (a) State the three Laws of Static Equilibrium and calculate the values of the reactions. (b) Stating your sign convention, obtain the sense and magnitude of the internal forces in all the framework elements. Show your answer diagrammatically. (c) Use Castigliano's Theorem to determine the vertical deflection at joint E.

A 9.0m span building roof is formed by a statically determinate pin jointed, triangulated framework, and loaded by two imposed actions as shown in figure 1. The structural elements are manufactured from mild steel. The top and bottom chord sections are 152x152x23 UC, the internal sections are 80x80x8 RSA. (a) State the three Laws of Static Equilibrium and calculate the values of the reactions. (b) Stating your sign convention, obtain the sense and magnitude of the internal forces in all the framework elements. Show your answer diagrammatically. (c) Use Castigliano's Theorem to determine the vertical deflection at joint E.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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