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Structural Analysis
99 SOLVED PROBLEMS
Question: 3.1.1
Figure 3.1-2 shows a cube of sides 1 m acted on by eight forces and a moment as shown. Determine the magnitude and direction of the resultant force R and the coordinates (x, y, z) of the point at which R intersects the face OACB. Is there a resultant moment in addition to the resultant force R ? ...
Question: 12.9.1
Prepare a flow chart to replace Step 3 to Step 9 of that in Subsection 12.9(c). ...
Question: 10.3.2
Figure 10.3-4 shows a portal frame ABCD; it may be assumed that the horizontal member is infinitely stiff and that the vertical members have negligible mass compared with that of the horizontal member. If there is no damping, determine (a) the natural frequency ƒ and the natural period T (b) the ...
Question: 3.5.3
Figure 3.5-3(a) shows a determinate space truss made up of horizontal, vertical, and inclined members. The horizontal members and the vertical members are all of equal length. Member GJ is a diagonal of a cube, while all other inclined members are diagonals of equal squares. The truss is acted on ...
Question: 2.6.2
Briefly explain the basis of the method of joints for statically determinate trusses. Using the method of joints, determine analytically the reactions and member forces in the truss in Fig. 2.6-1 (a). ...
Question: 2.6.1
Figure 2.6-1(a) shows a statically determinate truss acted on by a force F applied at joint B. Using the method of joints, determine graphically the axial forces in all the members and the support reactions at A and D. ...
Question: 14.3.1
Derive an expression for the bending moment in a rectangular section when the stress distribution is partly plastic and partly elastic (Fig. 14.3-3). ...
Question: 14.10.3
Using the method of combination of mechanisms, determine the shakedown load factor λ for the uniform frame in Fig. 14.10-6(a) if the load H can vary at random within the range 0 to 10λ kN and the load V can vary at random within the range 0 to 15λ kN. The plastic moment of resistance of each ...
Question: 14.10.2
Using Eqn 14.10-26, obtain an upper bound on the shakedown load factor for the uniform two-span beam in Fig. 14.10-2, if the loads Pand Q may each vary at random within the range 0 to λ Mp. ...
Question: 14.8.3
Using the safe theorem, given an alternative solution to Example 14.8-2. ...
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