N-W.F.P. University of Engineering and Technology Peshawar Steel Structures CE-409 By: Prof Dr. Akhtar Naeem Khan chairciv@nwfpuet.edu.pk 1 Course Content Design philosophies Introduction to Steel Structures Design of Welded connections Design of Bolted connections Design of Tension Members Design of Compression Members CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 2 Course Content Design of Column Bases Design of Beams Design of Composite Beams Design of Plate Girders CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 3 N-W.F.P. University of Engineering and Technology Peshawar Lecture 01: Design Philosophies By: Prof Dr. Akhtar Naeem Khan chairciv@nwfpuet.edu.pk 4 Topics to be covered Design philosophies Limit States Design Considerations Allowable Stress Design (ASD) Load and Resistance Factor Design (LRFD) Design process CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 5 Design Philosophies A general statement assuming safety in engineering design is: Resistance ≥ Effect of applied loads ---(1) In eq(1) it is essential that both sides are evaluated for same conditions and units e.g. compressive stress on soil should be compared with bearing capacity of soil CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 6 Design Philosophies Resistance of structures is composed of its members which comes from materials & X-section Resistance, Capacity, and Strength are somewhat synonym terms. Terms like Demand, Stresses, and Loads are used to express Effect of applied loads. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 7 Limit States When particular loading reaches its limit, failure is the assumed result, i.e. the loading condition become failure modes, such a condition is referred to as limit state and it can be defined as “A limit state is a condition beyond which a structural system or a structural component ceases to fulfill the function for which it is designed.” CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 8 Limit States There are three broad classification of limit states: 1. Strength limit states 2. Serviceability limit states 3. Special limit states CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 9 Limit States Strength Limit States: • Flexure • Torsion • Shear CE-411: Lecture 01 Fatigue • Settlement • Bearing • Prof. Dr Akhtar Naeem Khan 10 Limit States Serviceability Limit States: • Cracking • Excessive Deflection • Buckling • Stability CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 11 Limit States Special Limit States: Damage or collapse in extreme earthquakes. Structural effects of fire, explosions, or vehicular collisions. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 12 Limit States Design Approach used must ensure that the probability of a Limit State being reached in the Design/Service Life of a structure is within acceptable limits; However, complete elimination of probability of a Limit State being achieved in the service life of a structure is impractical as it would result in uneconomical designs. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 13 Design Considerations • Structure and Structural Members should have adequate strength, stiffness and toughness to ensure proper functioning during service life • Reserve Strength should be available to cater for: – Occasional overloads and underestimation of loads – Variability of strength of materials from those specified – Variation in strength arising from quality of workmanship and construction practices CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 14 Design Considerations Structural Design must provide adequate margin of safety irrespective of Design Method Design Approach should take into account the probability of occurrence of failure in the design process CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 15 Design Considerations An important goal in design is to prevent limit state from being reached. It is not economical to design a structure so that none of its members or components could ever fail. Thus, it is necessary to establish an acceptable level of risk or probability of failure. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 16 Design Considerations Brittle behavior is to be avoided as it will imply a sudden loss of load carrying capacity when elastic limit is exceeded. Reinforced concrete can be made ductile by limiting the steel reinforcement. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 17 Design Considerations To determine the acceptable margin of safety, opinion should be sought from experience and qualified group of engineers. In steel design AISC manuals for ASD & LRFD guidelines can be accepted as reflection of such opinions. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 18 Design Considerations Any design procedure require the confidence of Engineer on the analysis of load effects and strength of the materials. The two distinct procedures employed by designers are Allowable Stress Design (ASD) & Load & Resistance Factor Design (LRFD). CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 19 Allowable Stress Design (ASD) Safety in the design is obtained by specifying, that the effect of the loads should produce stresses that is a fraction of the yield stress fy, say one half. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 20 Allowable Stress Design (ASD) • This is equivalent to: FOS = Resistance, R/ Effect of load, Q = fy/0.5fy =2 CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 21 Allowable Stress Design (ASD) Since the specifications set limit on the stresses, it became allowable stress design (ASD). It is mostly reasonable where stresses are uniformly distributed over X-section (such on determinate trusses, arches, cables etc.) CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 22 Allowable Stress Design (ASD) Mathematical Description of A S D Rn Q i Rn = Resistance or Strength of the component being designed Φ = Resistance Factor or Strength Reduction Factor = Overload or Load Factors = Factor of Safety FS Qi = Effect of applied loads CE-411:Lecture No. 1 Prof. Dr. Akhtar Naeem Khan 23 Allowable Stress Design (ASD) Mathematical Description of Allowable Stress Design In ASD we check the adequacy of a design in terms of stresses therefore design checks are cast in terms of stresses for example if: Mn = Nominal Flexural Strength of a Beam M = Moment resulting from applied unfactored loads FS = Factor of Safety Mn FS Fy I / c FS I / c M fb Fy Fb FS CE-411:Lecture No. 1 or M I /c Fcr Fb FS Prof. Dr. Akhtar Naeem Khan 24 Section Modulus Section Modulus: S ≥ effect of load/Allowable stress = M/fb ------(ii) CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 25 ASD Drawbacks Implied in the ASD method is the assumption that the stress in the member is zero before any loads are applied, i.e., no residual stresses exist from forming the members. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 26 Variation of Residual Stress with Geometry Material A has more Residual Stresses due to: 1. Non uniform cooling 2. Cutting a plate into smaller pieces reveals the stresses CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 27 ASD Drawbacks • ASD does not give reasonable measure of strength, which is more fundamental measure of resistance than is allowable stress. • Another drawback in ASD is that safety is applied only to stress level. Loads are considered to be deterministic (without variation). CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 28 Load and Resistance Factor Design (LRFD) To overcome the deficiencies of ASD, the LRFD method is based on: Strength of Materials It consider the variability not only in resistance but also in the effects of load. It provides measure of safety related to probability of failure. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 29 Load and Resistance Factor Design (LRFD) Safety in the design is obtained by specifying that the reduced Nominal Strength of a designed structure is less than the effect of factored loads acting on the structure Rn n Qi Rn = Resistance or Strength of the component being designed Qi = Effect of Applied Loads n = Takes into account ductility, redundancy and operational imp. Φ = Resistance Factor or Strength Reduction Factor = Overload or Load Factors = Factor of Safety CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 30 The role of ‘n’ Ductility: It implies a large capacity for inelastic deformation without rupture Ductility will ensure redistribution of load through inelastic deformation. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 31 The role of ‘n’ Redundancy: 1. A simply supported beam is a determinate structure so it has no redundant actions. 2. A fixed beam is indeterminate by 2 degrees so it has two redundant actions. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 32 Redundancy Yielding will initiate at mid span due to maximum moment at mid span with no Redistribution of load CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 33 Redundancy Yielding will initiate at supports due to maximum moment at supports CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 34 Redundancy Redistribution of load to mid span after yielding of section at supports CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 35 The role of ‘n’ Operational Importance: A hospital and a school require more conservative design than an ordinary residential building. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 36 Operational Importance → hospital → park CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 37 LRFD Advantages LRFD accounts for both variability in resistance and load. It achieves fairly uniform levels of safety for different limit states. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 38 LRFD Disadvantages It’s disadvantage is change in design philosophy from previous method. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 39 Comparison of ASD and LRFD Design Approaches ASD combines Dead and Live Loads and treats them in the same way In LRFD different load factors are assigned to Dead Loads and Live Loads which is appealing Changes in load factors and resistance factors are much easier to make in LRFD compared to changing the allowable stress in ASD CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 40 Comparison of ASD and LRFD Design Approaches LRFD is intrinsically appealing as it requires better understanding of behavior of the structure in its limit states Design approach similar to LRFD is being followed in Design of concrete structures in form of Ultimate Strength Design -- why not use similar approach design of steel structures? CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 41 Comparison of ASD and LRFD Design Approaches ASD indirectly incorporates the Factors of Safety by limiting the stress whereas LRFD aims to specify Factors of Safety directly by specifying Resistance Factors and Load Factors LRFD is more rational as different Factors of Safety can be assigned to different loadings such as Dead Loads, Live Loads, Earthquake Loads and Impact Loads CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 42 Comparison of ASD and LRFD Design Approaches LRFD considers variability not only in resistance but also in the effects of load which provides measure of safety related to probability of failure It achieves fairly uniform levels of safety for different limit states. ASD still remains as a valid Design Method CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 43 Comparison of ASD and LRFD Design Approaches In LRFD For Tension Members: 1.2D + 1.6 L = 0.90 Rn 1.33D + 1.78 L = Rn (LRFD) In ASD Factor of Safety FS = 1.67, Therefore: 1.0D + 1.0 L = Rn / 1.67 1.67D + 1.67D L = Rn (ASD) LRFD 1.33D 1.78L ASD 1.67 D 1.67 L 0.8 1.07 ( L / D) 1 ( L / D) …. (A) In LRFD For Dead Load Case: 1.4D = 0.90 Rn 1.56D = Rn (LRFD) LRFD 1.56 D ASD 1.67 D 1.67 L CE-411: Lecture 01 0.93 1 ( L / D) Prof. Dr. Akhtar Naeem Khan …. (B) 44 Comparison of ASD and LRFD Design Approaches 3% 1.0 LRFD ASD 0.93 0.9 1.2D + 1.6L 0.83 0.8 1.4D 0.7 0.12 CE-411: Lecture 01 1 2 4 3 Live Load Dead Load 5 6 Prof. Dr. Akhtar Naeem Khan 45 AREA Code for Design of Railway Structures AREA Stands for American Railway Engineers Association (AREA) Railway Bridges and Structures are usually designed using provisions of the AREA Code AREA Code uses only the Allowable Stress Design Method. However, the allowable stresses and design requirements may differ from AISC/ASD method CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 46 AASHTO Code for Design of Highway Bridges • AASHTO Stands for Association of American State and Highway Transportation Officials (AASHTO) • Highway Bridges are usually designed using provisions of the AASHTO Code • AASHTO Code uses both ASD and LRFD Design Methods CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 47 The role of various Codes It is very difficult to devise a design code that is applicable to all uses and all types of structures such as buildings, highway bridges, railway bridges and transmission towers The responsibility of infrastructure on roads, bridges and electrical transmission towers rests with the organization responsible for approving, operating and maintaining these facilities CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 48 The role of various Codes Uses and critical loads may be different in different types of structures and no one code can cater to all the different important considerations For above reasons different codes prevail and will continue to do so AISC ASD Code and LRFD Code primarily is pertinent to Building Structures. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 49 Overview of LRFD Manual Part 1: Dimensions and properties Part 2: General Design considerations Part 3: Design of flexural members Part 4: Design of compression members Part 5: Design of Tension members Part 6: Design of members subject to combined loading CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 50 Overview of LRFD Manual Part 7: Design considerations for bolts Part 8: Design considerations for welds Part 9: Design of connecting elements Part 10: Design of simple shear connections Part 11: Design of flexible moment connections CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 51 Overview of LRFD Manual Part 12: Design of fully restrained (FR) moment connections Part 13: Design of Bracing connections and truss connections Part 14: Design of Beam bearing plates, Column base plates, anchor rods, and column splices. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 52 Overview of LRFD Manual Part 15: Design of Hanger connections, Bracket plates, and Crane-rail connections ANSI/LRFD Specifications for structural steel Buildings. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 53 Design Process 1. Functional planning • Development of a plan that will enable the structure to fulfill effectively the purpose for which it is to be built CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 54 Design Process The involvement of Structural engineer in the functional planning is very imp because an Architect can suggest a plane which is practically not possible. CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 55 Design Process 2. Structural scheme CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 56 Design Process 2. Structural scheme (Contd.) CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 57 Design Process 3. Preliminary Member Sizing of Beams Deflection Considerations ASD Commentary L3.1 suggests following Limits: CE-411:Lecture No. 1 L D L D L D 20 800 Fy ( Ksi ) 800 Fy ( Ksi ) For fully stressed Beams & Girders For Beams & Girders subject to vibrations For Roof Purlins Prof. Dr. Akhtar Naeem Khan 58 Design Process 3. Preliminary Member Sizing of Beams Design Moment Strength/Capacity Considerations Beam Unbraced Length CE-411:Lecture No. 1 Prof. Dr. Akhtar Naeem Khan 59 Design Process 3. Preliminary Member Sizing of Columns Strength/Capacity Considerations Tributary Area • Use of Tributary Areas and Column Tables CE-411:Lecture No. 1 Prof. Dr. Akhtar Naeem Khan 60 Tributary Area CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 61 Design Process 4. Structural Analysis - Modeling CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 62 Design Process 4. Structural Analysis - Analysis CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 63 Design Process 5. Design Review/ Member Modification • Must be chosen so that they will be able to resist, within appropriate margin of safety, the forces which the structural analysis has disclosed. CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 64 Design Process 6. Cost Estimation • Make a tentative cost estimates for several preliminary structural layouts. • Selection of constructional material based on: • Availability of specific material • Corresponding skilled labor • Relative costs • Wage scales CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 65 Design Process 7. Preparation of Structural Drawings & Specifications CE-411: Lecture 01 Prof. Dr Akhtar Naeem Khan 66 Thanks CE-411: Lecture 01 Prof. Dr. Akhtar Naeem Khan 67