The coefficient of linear thermal expansion of steel is around 1/100,000 per °C.
This means that at a temperature of 420°C, a 5m steel beam will:
1. Attain 800MPa elastic stress under restrained expansion
2. Expand 2cm under unrestrained expansion.
The Twin Towers beams were made of steel with a yield stress of 248MPa or 345MPa. This means that in case of #1, the beams would have buckled. This buckling could lead to beam collapse. What effect would that have?
1. It could pull in the exterior walls
2. It could cause core column buckling
The core columns in the impact zones were mainly 36cm and 30cm wide flange sections of 248 or 290MPa, with a safety factor of two. Euler buckling theory:
Length² × boundary condition² × stress = π² × gyradius² × elastic modulus
This gives a buckling length of around 40m, or 11 stories, for the core columns under normal loads and without accounting for stiffness reduction by splices.
In NIST NCSTAR 1-6C we read
Core beams were modelled as rigid beam elements. Meaning they can't deform or fail. Basically, NIST has decided not to analyze them as part of the full floor model. Why?
Notice how there is no mention of core beam snslyses. No answers here either. Why?
Here is what NIST says in NCSTAR 1-6 about how the core was weakened and how the floors contributed to collapse
Can we really accept
1. NIST's implicit conclusion that core weakening was not caused by floor collapse and
2. Their more explicit conclusion that inward bowing was caused by truss sagging alone?
This means that at a temperature of 420°C, a 5m steel beam will:
1. Attain 800MPa elastic stress under restrained expansion
2. Expand 2cm under unrestrained expansion.
The Twin Towers beams were made of steel with a yield stress of 248MPa or 345MPa. This means that in case of #1, the beams would have buckled. This buckling could lead to beam collapse. What effect would that have?
1. It could pull in the exterior walls
2. It could cause core column buckling
The core columns in the impact zones were mainly 36cm and 30cm wide flange sections of 248 or 290MPa, with a safety factor of two. Euler buckling theory:
Length² × boundary condition² × stress = π² × gyradius² × elastic modulus
This gives a buckling length of around 40m, or 11 stories, for the core columns under normal loads and without accounting for stiffness reduction by splices.
In NIST NCSTAR 1-6C we read
Core beams were modelled as rigid beam elements. Meaning they can't deform or fail. Basically, NIST has decided not to analyze them as part of the full floor model. Why?
Notice how there is no mention of core beam snslyses. No answers here either. Why?
Here is what NIST says in NCSTAR 1-6 about how the core was weakened and how the floors contributed to collapse
Can we really accept
1. NIST's implicit conclusion that core weakening was not caused by floor collapse and
2. Their more explicit conclusion that inward bowing was caused by truss sagging alone?
Last edited: