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Structural Analysis
Structural and Stress Analysis
166 SOLVED PROBLEMS
Question: 20.9
Construct influence lines for the reaction at B and for the shear force and bending moment at D in the two-span continuous beam shown in Fig. 20.21(a). ...
Verified Answer:
The shape of each influence line may be drawn usin...
Question: 16.9
Calculate the forces in the members of the truss shown in Fig.16.19(a). All members have the same cross sectional area, A, and Young’s modulus, E. ...
Verified Answer:
By inspection we see that the truss is both intern...
Question: 16.23
Calculate the end moments in the members of the frame shown in Fig. 16.49. All members have the same flexural rigidity, EI; note that the member CD is pinned to the foundation at D. ...
Verified Answer:
Initially, the FEMs produced by the applied loads ...
Question: 16.22
Obtain the bending moment diagram for the portal frame shown in Fig. 16.47(a). The flexural rigidity of the horizontal member BC is 2EI while that of the vertical members AB and CD is EI. ...
Verified Answer:
First we shall determine the end moments in the me...
Question: 16.21
Obtain the bending moment diagram for the frame shown in Fig. 16.44; the flexural rigidity EI is the same for all members. ...
Verified Answer:
In this example the frame is unsymmetrical but swa...
Question: 16.20
Calculate the end moments at the supports in the beam shown in Fig. 16.42 if the support at B is subjected to a settlement of 12 mm. Furthermore, the second moment of area of the cross section of the beam is 9 × 10^6 mm^4 in the span AB and 12 × 10^6 mm^4 in the span BC; Young’s modulus, E, is ...
Verified Answer:
In this example the FEMs produced by the applied l...
Question: 16.18
Calculate the support reactions in the beam shown in Fig. 16.40; the flexural rigidity, EI, of the beam is constant throughout. ...
Verified Answer:
This example differs slightly from Ex. 16.17 in th...
Question: 18.5
The simply supported beam ABC shown in Fig. 18.10(a) has a cantilever overhang and supports loads of 4W and W. Determine the value of W at collapse in terms of the plastic moment, MP, of the beam. ...
Verified Answer:
The bending moment diagram for the beam is constru...
Question: 20.8
The Pratt truss shown in Fig. 20.19(a) carries a dead load of 1.0 kN/m applied at its upper chord joints. A uniformly distributed live load, which exceeds 9 m in length, has an intensity of 1.5 kN/m and is also carried at the upper chord joints. If the diagonal members are designed to resist ...
Verified Answer:
A family of influence lines may be drawn as shown ...
Question: 20.7
Determine the maximum tensile and compressive forces in the member EC in the Pratt truss shown in Fig. 20.18(a) when it is crossed by a uniformly distributed load of intensity 2.5 kN/m and length 4 m; the load is applied on the bottom chord of the truss. ...
Verified Answer:
The vertical component of the force in the member ...
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