Sky News’s defense analyst Micheal Clarke made the claim that a truck bomb would not have the capability to inflict the sort of damage brought upon the bridge. He insists it was either a missile or a SpecOps operation.
I guess he never saw the size of the alleged truck: it could easily have contained 20-30 times the explosive of Tomahawk class cruise missile. If anything, the damage is smaller than one would expect of a large truck bomb. Just compare to the devastation of the Oklahoma city bombing.
He might still be right about it not being a truck bomb, but for the wrong reasons.
For illustrative purposes only:
Below is a simplified static model of a span element supported in three points and with one of the supports destroyed.
Supports 1 and 2 are expansion joints. Length of span is L1+L2. Weight (load) is Q1+Q2 where load of L1 is Q1 and load of L2 is Q2. The force acting on supports is equal to the load Q divided by number of supports because loads are uniform and supports are symmetrical so we can ignore the distance from support for simplification. Every support generates a reaction force per Newton's third which is equal to the acting force.
First diagram shows the initial state before the explosion. This is how the bridge element was intended to be and all parameters were optimized to match this naturally with added safety margins. The graph below shows the function of stress amplitude generated by load.
Second diagram shows the state after the explosion. Span L2 is only supported by support 2 turning it into a cantilever where instead of a simple force we also have torque equal to force multiplied by distance. The graph below shows function of stress amplitude. Because there is only one support the maximum stress is at the free end of the span.
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Third diagram shows changes to static model in red. The arrow indicates that the right end of the span begins to move down which will deform the spanning element and lift it from support 1. Force acting on support 2 is now increased which will impact how it behaves.
Fourth diagram shows what happens when the imbalance lifts the span from support 1 - it now turns to double cantilever resting with its entire load on support 2. This doubles the stress on the middle part of the span leading to its destruction which then causes loss of rigidity in the element. The left end falls back on the support with acceleration equal to g causing a dynamic force which is greater than static F1.
Fifth diagram shows what happens when the left end hits support 1. The element breaks in a weak point somewhere between the support and the middle of the span (I didn't calculate for simplicity). Both remaining ends of the span resting on support 2 collapse due to the destruction of the element above support 2.
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This is precisely what is shown on the satellite image.
I will point out that in many bridges the spanning element often has greater height (thickness) in the middle - that's because the forces are (counterintuitively) greater in the middle because of geometry. This is also why the suspended element of the Crimean bridge has a high arc - it is an approximation of the same principle, the top of the arc is in the middle where the stress in the spanning element is greatest. Height of the section of the element is increased in the middle part so that it is more rigid where deformation is greatest. This has all to do with economy of building materials and construction. But because of that and somewhat counterintuitively
structural elements are most vulnerable to damage near the support and not in the middle where the stress is nominally greatest.
The question is whether a truck bomb has sufficient energy to generate a shockwave capable of destroying the span element near support 3 or damaging it sufficiently that the load of the element will do the rest on its own. I am not an expert on explosives but I suspect that a shaped charge with explosive mass of 1-2t (or more) and shaped fragmentation to improve penetration which is perfectly plausible on a truck could damage it sufficiently. 1-2 t of modern explosives in a shaped charge that is delivered near the support
could be sufficiently damaging especially if the structural element was optimized and is weaker near the support. I can't speak to the technical aspects of the explosion. My concern would be the driver - it would have to be remotely piloted truck with a mannequin for disguise. Is there security on the bridge? Would that be possible?
I've seen a clip on Twitter that allegedly showed a tactical missile hitting the bridge but it was too implausible. It looked too much like edited footage.
I am not convinced that 0,3t warhead of ATACMS is sufficient for this kind of damage even including kinetic energy from impact but that again depends on the actual structural parameters of the spanning element. Similarly an air-launched cruise missile - with deployment mechanism improvised like in the case of AGM-88 - is sufficient as it has sub-sonic velocity and 0,3-0,4t warhead at maximum.
Truck bomb would have an additional benefit of using a shockwave to convey damage rather than kinetic and blast energy. For that you would need to have the shaped charge at 2-2,5m above the road and perhaps compressed gas of some type underneath to increase the density of the air in the shockwave. That kind of explosion would deliver force at an area rather than a point. It could be a linear charge of 4-5 meters long that would explode directly above the support thus making sure that the shearing force is maximized.
All in all it is plausible from the structural point of view but need more information about the phyisical parameters of the blast and shockwave.
Of course that doesn't exclude a planted explosive underneath or an aerial strike or a submersible with a heavy explosive load surfacing near the support. That last instance would require greater explosive load because of distance from the joint. The explosion creates a shockwave - a pressured medium front moving at a velocity which is the main force carrier. An explosion from underneath differs from an explosion above in details. It is just as capable of destroying the joint.
That's it from me. You have the general model, the rest should be simple once more information is publicized.
One more thing - there was speculation that the rail link was attacked simultaneously. Personally I doubt it although there might have been some coordination. The fire was most likely caused by the explosion. The flame was red-yellow indicating low thermal load of the substance and slow oxidation. It burned the way gasoline burns - surface fire only. The steel railings were the only element deformed. From my end - I'd be more interested in placing the explosion in the right spot near the support than trying to match it to something happening on a parallel way. It was just lucky coincidence.