1. The figure shows Beam Diagrams 23 in the CISC Handbook of Steel Construction. The left end is allowed to move freely in vertical direction, but rotation is prohibited (thus free but guided). (a) write the mathematic formulation (b) Find the deflection of the beam with a detailed derivation 23. BEAM FIXED AT ONE END, FREE BUT GUIDED AT OTHER - CONCENTRATED LOAD AT GUIDED END M Mmax Shear Moment 7/2 "max Equivalent Tabular Load. R=V. M max. (at both ends). Mx. A max. (at deflected end) Ax = 4P = P Pl 2 = P P13 12 El P (1-x)² (1+2x) 12 EI

Structural Analysis
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Chapter2: Loads On Structures
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1. The figure shows Beam Diagrams 23 in the CISC Handbook of Steel Construction. The left end is
allowed to move freely in vertical direction, but rotation is prohibited (thus free but guided).
(a) write the mathematic formulation
(b) Find the deflection of the beam with a detailed derivation
23. BEAM FIXED AT ONE END, FREE BUT GUIDED AT OTHER-CONCENTRATED LOAD
AT GUIDED END
M
Shear
Max
Moment
72
M.
R
max
Equivalent Tabular Load.
R=V
M max. (at both ends)
Mx.
A max. (at deflected end)
Ax
= 4P
= P
PL
2
= P(-1/2-x)
P13
12 El
P(1-x) ²
12 EI
-(1+2x)
Transcribed Image Text:1. The figure shows Beam Diagrams 23 in the CISC Handbook of Steel Construction. The left end is allowed to move freely in vertical direction, but rotation is prohibited (thus free but guided). (a) write the mathematic formulation (b) Find the deflection of the beam with a detailed derivation 23. BEAM FIXED AT ONE END, FREE BUT GUIDED AT OTHER-CONCENTRATED LOAD AT GUIDED END M Shear Max Moment 72 M. R max Equivalent Tabular Load. R=V M max. (at both ends) Mx. A max. (at deflected end) Ax = 4P = P PL 2 = P(-1/2-x) P13 12 El P(1-x) ² 12 EI -(1+2x)
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