Structural and Stress Analysis, Second Edition by T.H.G. Megson

By T.H.G. Megson

Structural research is the nook stone of civil engineering and all scholars needs to receive a radical figuring out of the thoughts on hand to research and expect rigidity in any constitution. This textbook offers scholars with a complete advent to every kind of structural and tension research, ranging from a proof of the fundamental rules of statics, general and shear strength and bending moments and torsion. construction at the good fortune of the 1st variation, new fabric on structural dynamics and finite point process has been included.Virtually no earlier wisdom of buildings is believed and scholars requiring an available and entire perception into pressure research will locate no larger booklet on hand. * complete evaluate of structural and pressure research* useful to undergraduate civil engineers* a variety of labored examples and difficulties* options guide on hand on-line

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Example text

7 shows a positive set of internal forces acting at two sections of a beam. 3 Normal Force • 47 maintained. If this were not the case one part of the beam would part company with the other. A difficulty now arises in that a positive internal force, say the shear force S, acts upwards on one face of a section and downwards on the opposite face. We must therefore specify the face of the section we are considering. We can do this by giving signs to the different faces. In Fig. 7 we define a positive face as having an outward normal in the positive direction of the x axis (faces nn and mm) and a negative face as having an outward normal in the negative direction of the x axis (faces pp and qq).

Alternatively we could consider the portion X1 C). As before, we draw in a positive normal force, NAB . Then, for equilibrium of AX1 in the x direction NAB − 10 = 0 so that NAB = +10 kN (tension) Now consider the length ABX2 of the beam; again we draw in a positive normal force, NBC . Then for equilibrium of ABX2 in the x direction NBC + 10 − 10 = 0 which gives NBC = 0 Note that we would have obtained the same result by considering the portion X2 C of the beam. Finally the complete normal force diagram for the beam is drawn as shown in Fig.

Ans. (a) RA = 57 kN upwards, RB = 2 kN downwards. 3 N downwards. 5 (b) 4m Chapter 3 / Normal Force, Shear Force, Bending Moment and Torsion The purpose of a structure is to support the loads for which it has been designed. e. from the loading point to the supports. In Fig. 21, for example, the beam transmits the effects of the loads at B and C to the built-in end A. It achieves this by developing an internal force system and it is the distribution of these internal forces which must be determined before corresponding stress distributions and displacements can be found.

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