CIVIL ENGINEERING FORMULAS

2 CHAPTER ONE TABLE 1.1 Commonly Used USCS and SI Units* Conversion factor (multiply USCS unit by this factor to USCS unit SI un ...

CONVERSION FACTORS FOR CIVIL ENGINEERING PRACTICE 3 TABLE 1.3 Factors for Conversion to SI Units of Measurement To convert from ...

4 CHAPTER ONE TABLE 1.3 Factors for Conversion to SI Units of Measurement (Continued) To convert from To Multiply by Centimeter, ...

CONVERSION FACTORS FOR CIVIL ENGINEERING PRACTICE 5 TABLE 1.3 Factors for Conversion to SI Units of Measurement (Continued) To c ...

6 CHAPTER ONE TABLE 1.3 Factors for Conversion to SI Units of Measurement (Continued) To convert from To Multiply by Inch of mer ...

CONVERSION FACTORS FOR CIVIL ENGINEERING PRACTICE 7 TABLE 1.3 Factors for Conversion to SI Units of Measurement (Continued) To c ...

8 CHAPTER ONE TABLE 1.3 Factors for Conversion to SI Units of Measurement (Continued) To convert from To Multiply by Perm inch, ...

CONVERSION FACTORS FOR CIVIL ENGINEERING PRACTICE 9 TABLE 1.3 Factors for Conversion to SI Units of Measurement (Continued) To c ...

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Chapter 2. Beam Formulas In analyzing beams of various types, the geometric properties of a variety of cross-sectional areas are ...

A = bd bd b^2 + d^2 c 1 = d/2 S 1 = c 1 1 3 c 3 2 b b Rectangle Triangle d 1 d 2 3 3 3 c 1 c 2 b Parabola Half Parabola d c 1 1 ...

FIGURE 2.1 Geometric properties of sections. Section Equilateral polygon A = Area r = Rad inscribed circle n = No. of sides a = ...

b 2 b 2 b 2 b 2 B 2 B 2 h Hh h H H c h c H H h H h B B b b bb BB B BH^3 + bh^3 12 BH^3 – bh^3 12 BH^3 + bh^3 6 H BH^3 – bh^3 6 H ...

FIGURE 2.1 (Continued) b 2 H H H H h h h 1 b c^2 a aa a 2 a 2 b B BB b B c^1 d^1 B 1 2 d d d d b 2 b 2 c^2 c^1 c^2 c^1 h d I (Bd ...

R r r d dm = (D + d) (D^4 – d^4 ) s = (D – d) D d R^4 + r^2 2 I= π 64 I= = r^2 πd^4 64 πr^4 4 = A 4 =π(R^4 – r^4 ) 4 A 4 = (R^2 ...

FIGURE 2.1 (Continued) 17 c^2 c^2 c^1 c^1 r r r 1 R I = r^4 I = 0.1098 (R^4 – r^4 ) = 0.3tr 13 (approx) when is very small 0.283 ...

18 B 4 B 4 B 2 b b d B 2 h H h B (approx) I = l 12 B 2 I = + + t 4 t 2 3 3 π 16 I c 2+ h πB 4 π I Section Moment of inertia and ...

FIGURE 2.1 (Continued) Approximate values of least radius of gyrationr D D D DD DCross D B DD D D Carnegie Phoenix column column ...

FIGURE 2.1 (Continued) D dm ds dm a b s do D Outer fiber Shaft section Shaft torque formulas and location of maximum shear stres ...

CASE 2. Beam Supported Both Ends—Concentrated Load at Any Point R = Wb L Wa L R 1 = V (max) = R when a < b and R 1 when a > ...