Design of Concrete Structures with Stress Fields by Dr. A. Muttoni, Dr. J. Schwartz, Prof. Dr. B. Thürlimann

By Dr. A. Muttoni, Dr. J. Schwartz, Prof. Dr. B. Thürlimann (auth.)

17 2 pressure FIELDS for easy constructions 2. 1 advent during this bankruptcy the habit and power of easy constructions made from rein­ compelled or prestressed concrete is investigated using pressure fields. particularly, the webs and flanges of beams, easy partitions, brackets, bracing beams and joints of frames are investigated. by way of this implies, the vast majority of layout circumstances are already coated. in fact, all structural elements are three-d. right here, in spite of the fact that, parts are thought of both at once as two-dimensional plate components (i. e. the airplane tension situation with out version of pressure over the thickness of the aspect) or they're subdivided into numerous plates. in view that two-dimensional structural components are statically redundant, it truly is attainable for a specific loading to be in equilibrium with many (theoretically an unlimited variety of) tension states. If the reduce certain approach to the speculation of plasticity is hired, then an admissible rigidity box or any blend of such tension fields can be chosen. In bankruptcy four it's proven that this system is acceptable for the layout of bolstered concrete constructions, and the end result of the alternative of the ultimate structural procedure at the structural habit is handled intimately. the 1st situations of using this system date again to Ritter [6] and Morsch [4], who already initially of the century investigated the resultants of the inner stresses by way of truss models.

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E. for determining the position and crosssectional area of reinforcement, for the detailing as well as checking the stresses in critical regions. 2 Deep Beams, Several Concentrated Loads The reinforced concrete beam of the previous example is considered further. The two loads of 800 kN are divided up into eight equal loads having the same resultant. 400 200kN I 400 I 400 I 400 I r 4 00 I 70 2 kJ 3200mm Fig. 11: Beam and loading 4 00 I 176 Beams with Rectangular Cross-Section Subjected to Bending and Shear 25 Since the latter is unchanged, the dimension of the horizontal strut in the middle of the beam and the reinforcement forces remain the same as in the previous example (Fig.

49: ---- Loading of the diaphragm Oe 20 54 Stress Fields for Simple Structures The forces acting on the individual plates as well as the corresponding stress fields are shown in Fig. 50. Fig. 50: Loading and stress fields in the flanges The shear flow in two neighboring plate edges do compensate each other within the span region but not in the loading and support regions. Thus stringers loaded in tension result, which, if a cross-section is considered, maintain equilibrium with the longitudinal components of the inclined compression fields.

A general load can be carried if the cross-section consists of three plates which do not intersect along a common line. The load can be replaced by at least three statically equivalent forces, which act in the plane of the individual plates. 2 can thus be applied correspondingly to the individual plates. Members with a solid cross-section can be treated analogously by fitting into the section different suitable plates and neglecting the stresses in the rest of the material. 2 Warping Torsion (Open Cross-Sections) As an application of the procedure described above the member shown in Fig.

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