Advanced Methods of Structural Analysis

2.4 Combining of Fixed and Moving Load Approaches 35 loadPwould be applied directly to the main beamAB. Influence line for bendi ...

36 2 General Theory of Influence Lines Fig. 2.17 Calculation of bending momentMkusing influence line forRA P RA k RB 1 C Inf. li ...

Problems 37 Problems 2.1.The simply supported beamABis subjected to the fixed loads as shown in Fig.P2.1. Analyze the structure ...

38 2 General Theory of Influence Lines Fixed load approach Determine the reaction of supportB; Construct the internal force diag ...

Chapter 3 Multispan Beams and Trusses This chapter is devoted to the analysis of statically determinate multispan beams and trus ...

40 3 Multispan Beams and Trusses a b c d Fig. 3.2 Distribution of hinges in beams with simply supported ends Figure3.2shows some ...

3.1 Multispan Statically Determinate Beams 41 1 1 2 2 1 1 2 2 Fig. 3.3 Interaction schemes for simplest Gerber–Semikolenov beams ...

42 3 Multispan Beams and Trusses BDC AE H 1 H 2 H 3 P P Fig. 3.5 Interaction diagram of Gerber–Semikolenov beam so entire system ...

3.1 Multispan Statically Determinate Beams 43 second support of the suspended beam. This procedure is called as distribu- tion o ...

44 3 Multispan Beams and Trusses If loadPD 1 is located on the suspended beamH 2 H 3 , then fraction of this force is transmitte ...

3.1 Multispan Statically Determinate Beams 45 If loadPD 1 is located at pointBon the suspended beamH 1 BH 2 , then this force is ...

46 3 Multispan Beams and Trusses 4.Connect nearest intersection points by connecting lines. 5.Influence line as a result of indi ...

3.2 The Generation of Statically Determinate Trusses 47 3.2 The Generation of Statically Determinate Trusses................... ...

48 3 Multispan Beams and Trusses 3.2.2 Compound Trusses........................................... A compound truss consists of ...

3.3 Simple Trusses 49 F 1 F (^1) F 2 F 2 Fig. 3.11 A truss with compound members The analysis of this truss should be performed ...

50 3 Multispan Beams and Trusses influence lines for trusses will be based noton the repeated calculation of a required factor ( ...

3.3 Simple Trusses 51 RA 1 2 4 (^35) U^7 5–7 D4–7 O4–6 r r 1 1 1 RB 1 4 6 7 8 10 9 11 12 O4–6 U5–7 D4–7 r r 1 1 1 r 1 =5.972m r= ...

52 3 Multispan Beams and Trusses 1.When unit loadPis to therightof the sectioned panel, it is more convenient to consider the eq ...

3.3 Simple Trusses 53 and 7; connecting line is always a straight line. The completed influence line is presented in Fig.3.14c. ...

54 3 Multispan Beams and Trusses The left-hand portion of influence line forU 5 - 7 is obtained by multiplying all ordi- nates o ...