0
808views
Determine true collaps load of a given continuous beam

Subject: Structure Analysis 2

Topic: Determination of Collaps Load for Beams

Difficulty: Hard

enter image description here

1 Answer
0
2views

No of plastic hinge = N = 6.

1) Let beam AB collapse:

enter image description here

Using virtual work principle:

EWD = IWD

240γ=MPO+MP2O+MPO

2404O=MPO+MP2O+MPO

O=γ4γ=4O (Since O is very small)

MP=240KN.m

2) Let Span BC collapse:

enter image description here

Using virtual work principle:

EWD = IWD

Σ(W.γ)=Σ(MP.O)

60γ=MPO+MP(O+α)+MP(α)

α=O2

60.2O=MPO+MP(O+O2)+MP(O2)

60.2O=MPO[1+1+12+12]

MP=1203=40

MP=40KN.m

3) Let Span CD collapse:

enter image description here

Using Virtual work principle, Standard case.

MP=WL211.656 W=Collapse load

MP=1206211.656

MP=370.62KN.m

From 1,2 &3,

Failure occurs in Span where M_P is highest i.e.Span CD

MP=370.62KN.m

Please log in to add an answer.