CIVIL ENGINEERING FORMULAS

TABLE 2.2 Approximate Safe Loads in Pounds (kgf) on Steel Beams* (Percoyd Iron Works) (Beams supported at both ends; allowable f ...

TABLE 2.3 Coefficients for Correcting Values in Table 2.2 for Various Methods of Support and of Loading* Max relative deflection ...

64 CHAPTER TWO Figure 2.19 shows the condition when two equal loads are equally distant on opposite sides of the center of the b ...

BEAM FORMULAS 65 FIGURE 2.20 Two moving loads of unequal weight. 2 P P R (^1) R 2 l a^2 6 a Moment Shear l 2 When several wheel ...

66 CHAPTER TWO Ris the radius of the centroidal axis; Z is a cross-section propertydefined by (2.19) Analyticalexpressions for Z ...

TABLE 2.4 Analytical Expressions for Z Section Expression A2 [(tb)C 1 bC 2 ] Z 1  R A b ln  RC 2 RC 2  (tb) ln  R ...

68 CHAPTER TWO and (2.23) at (2.24) By Castigliano, (2.25) Eccentrically Curved Beams These beams (Fig. 2.23) are bounded by arc ...

BEAM FORMULAS 69 TABLE 2.5 Stress Factors for Inner Boundary at Central Section (see Fig. 2.23) 1.For the arch-type beams (a) (b ...

70 CHAPTER TWO TABLE 2.6 Crescent-Beam Position Stress Factors (see Fig. 2.23)* Angle , k degree Inner Outer 10 1 0.055H/h 1 0 ...

BEAM FORMULAS 71 whereLunbraced length of the member Emodulus of elasticity Iymoment of inertial about minor axis Gshear mod ...

72 CHAPTER TWO moment,Mcrmay be obtained by multiplying Mcrgiven by the previous equa- tions by an amplification factor (2.28) ...

BEAM FORMULAS 73 minimum value of MPdis zero. The deflection dfor axial compression and bending can be closely approximated by ...

74 CHAPTER TWO whereAcross-sectional area, in^2 (mm^2 ) cdistance from neutral axis to outermost fiber, in (mm) Imoment of in ...

Type of Support Fundamental Mode L Second Mode Third Mode Fourth Mode Cantilever 20.0 125 350 0.315 56.0 Fixed Fixed-hinged 0.11 ...

76 CHAPTER TWO multiply it by. To get T, divide the appropriate constant by. In these equations,  natural frequency, rad/s Wb ...

TABLE 2.7 Polar Moment of Intertia and Maximum Torsional Shear BEAM FORMULAS 77 Strain Energy in Torsion For a member subjected ...

78 CHAPTER TWO Pab^2 L^2 a P P wk/t wk/t wk/t wk/t aL aL wk/t PP PP PP L–2a L/4 L/4 L/4 L/5L/5L/5 L/3 P P P L/3 L/2 L/2 L/3 L/4 ...

BEAM FORMULAS 79 whereTtorque angle of twist Llength over which the deformation takes place Jpolar moment of inertia Gshea ...

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Chapter 3. Column Formulas GENERAL CONSIDERATIONS Columns are structural members subjected to direct compression. All columns ca ...