STRUCTURAL ANALYSIS (Determinate) Soran University Faculty of Engineering Civil Engineering Department Yousif J. Bas (2023-2024) CHAPTER 1 Types of Structures and Loads Types of Structures and Loads CHAPTER OBJECTIVES To introduce the basic types of structures. To provide a brief explanation of the various types of loads that must be considered for an appropriate analysis and design. R. C. Hibbeler, Structural Analysis, 10th Edition, 2017 (Yousif J. Bas) Chapter Outline Introduction Classification of Structures Loads Structural Design Introduction A structure refers to a system of connected parts used to support a load. Important examples related to civil engineering include buildings, bridges, and towers. in other branches of engineering, ship and aircraft frames, tanks, pressure vessels, mechanical systems, and electrical supporting structures are important. When designing a structure factors to consider: Safety Esthetics Serviceability Economic & environmental constraints Classification of Structures Structural elements Tie rods Beams Columns Classification of Structures Structural elements Classification of Structures Structural elements Classification of Structures Types of structures Trusses Cables & Arches Frames Surface Structures Classification of Structures Types of structures Loads Loads Structural forms Elements carrying primary loads Various supporting members Foundation Loads Design loading for a structure is often specified in codes General building codes Design codes Loads Types of load Dead load Weights of various structural members Weights of any objects that are attached to the structure Loads Example The floor beam is used to support the 1.8 m width of lightweight plain concrete slab having a thickness of 100mm. The slab serves as a portion of the ceiling for the floor below & its bottom coated with plaster. A 3 m high, 300mm thick lightweight solid concrete block wall is directly over the top flange of the beam. Determine the loading on the beam measured per m length of the beam. Loads Solution Using the data provided from the table, concrete slab : (0.015kN / m 2 .mm)(100mm)(1.8m) 2.70kN / m plaster ceiling : (0.24kN / m 2 )(1.8m) 0.43kN / m block wall : (16.5kN / m 3 )(3m)(0.3m) 14.85kN / m Total 2.70 0.43 14.85 17.98kN / m Loads Live loads Varies in magnitude & location Building loads Depends on the purpose for which the building is designed These loadings are generally tabulated in local, state or national code Loads Highway Bridge loads Primary live loads are those due to traffic Specifications for truck loadings are reported in American Association of State and Highway Transportation Officials (AASHTO) Loads Railway Bridge loads Loadings are specified in American Railway Engineering and Maintenance-of-Way Association (AREMA) Loads Impact loads Due to moving vehicles The % increase of the live loads due to impact is called the impact factor, I This factor is generally obtained from formulas developed from experimental evidence. For example, for highway bridges the AASHTO specifications require that Loads Wind loads Kinetic energy of the wind is converted into potential energy of pressure when structures block the flow of wind Effect of win depends on density & flow of air, angle of incidence, shape & stiffness of the structure & roughness of surface For design, wind loadings can be treated using static or dynamic approach Loads Wind loads q z 0.613K z K zt K K eV 2 ( N / m 2 ) d where V velocity in m/s of a 3s gust of wind measured 10m above the ground. Values are obtained from a wind map. K z the velocity pressure exposure coefficient. A function of height and depends upon the ground terrain. See Table 1.5. K zt a topographic factor that accounts for wind speed increases due to hills % escarpments. For flat ground K zt 1 K d a factor that accounts for the direction of the wind. It is used only when the structure is subjected to combination of loads. For wind acting alone, K d 1 K e a ground elevation factor; for a conservative design use K e 1 Loads Wind loads Once qz is obtained, the design pressure can be obtained from a list of relevant equations p qGCp qh (GC pi ) q q z for the windward wall at height z above the ground q h for the leeward wall where z h , mean height of the roof G a wind - gust effect factor, depending on exposure. For a rigid structure, G 0.85 C p wall or roof pressure coefficient Negative values indicate pressure acting away from the surface. GC pi the internal pressure coefficient which depends upon the type of openings in the building. For fully enclosed building, GC pi 0.18 Loads Snow loads Design loadings depend on building’s general shape & roof geometry, wind exposure, location, its importance and whether or not it is heated Snow loads are determined from a zone map reporting 50-year recurrence intervals of an extreme snow depth Loads Snow loads For flat roof (slope < 5%): p f 0.7C e C t I s p g (eq 1.5) C e an exposure factor depending upon the terrain. A fully exposed roof in an unobstructed area C e 0.8. If the roof is sheltered & located in the centre of a large city C e 1.2 C t a thermal factor which refers to the average temperature within the building. For unheated structure kept below freezing C t 1.2, whereas if the roof is supporting a normally heated structure, then C t 1.0. I the importance factor as it relates to occupancy. For e.g, I 0.8 for agriculture & storage facilities and I 1.2 for schools & hospital Loads Earthquake loads Earthquakes produce lateral loadings on a structure through the structure’s interaction with the ground. Their magnitude depends on amount & type of ground acceleration, mass & stiffness of structure The block is the lumped mass of the roof the column has a total stiffness representing all the building’s columns During earthquake, the ground vibrates both horizontally & vertically Loads Earthquake loads The effects of a structure’s response can be determined & represented as an earthquake response spectrum For small structures, static analysis is satisfactory S DS Cs R / Ie S DS spectral response acceleration for short periods of vibration R response modification factor that depends upon the ductility of the structure I importance factor that depends on the use of the building Loads Hydrostatic & Soil Pressure The pressure developed by these loadings when the structures are used to retain water or soil or granular materials E.g. tanks, dams, ships, bulkheads & retaining walls Other natural loads Effect of blast Temperature changes Differential settlement of foundation Structural Design Whenever a structure is designed, it is important to give consideration to both material and load uncertainties. These uncertainties include: 1. 2. 3. 4. 5. A possible variability in material properties residual stress in materials intended measurements being different from fabricated sizes Loadings due to vibration or impact material corrosion or decay Structural Design ASD. Allowable-stress design (ASD) methods include both the material and load uncertainties into a single factor of safety. The many types of loads discussed previously can occur simultaneously on a structure, but it is very unlikely that the maximum of all these loads will occur at the same time. For example, both maximum wind and earthquake loads will normally not act simultaneously on a structure. In working-stress design, the computed elastic stress in the material must not exceed the allowable stress along with the following typical load combinations as specified by the ASCE 7-16 Standard dead load dead load + live load 0.6 (dead load) + 0.6(wind load) Structural Design LRFD. (load and resistance factor design) Since uncertainty can be considered using probability theory, there has been an increasing trend to separate material uncertainty from load uncertainty. this method (LRFD) or (strength design) uses load factors applied to the loads or combinations of loads 1.4 (Dead load) 1.2 (dead load) + 1.6 (live load) + 0.5 (roof live load or snow load or rain load) 1.2 (dead load) + 1.0 (wind load) + 1.0 (live load) + 0.5 (roof live load or snow load or rain load) 0.9 (dead load) + 1.0 (wind load)