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Related PDFs (2)

Eccentric Loading

Formulas : 18 Size : 345 kb

Unsymmetrical Bending and Three Hinged Arches

Formulas : 15 Size : 326 kb

Contents of the Structural Analysis of Beams PDF

List of 26 Structural Analysis of Beams Formulas

Absolute Value of Maximum Moment in Unbraced Beam Segment

Absolute Value of Moment at Centerline of Unbraced Beam Segment

Absolute Value of Moment at Quarter Point of Unbraced Beam Segment

Absolute Value of Moment at Three-Quarter Point of Unbraced Beam Segment

Area to Maintain Stress as Wholly Compressive given Eccentricity

Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre

Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre

Breadth for Rectangular Section to Maintain Stress as Wholly Compressive

Condition for Maximum Moment in Interior Spans of Beams

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge

Critical Bending Coefficient

Critical Bending Moment for Simply Supported Open Section Beam

Critical Bending Moment for Simply Supported Rectangular Beam

Critical Bending Moment in Non-Uniform Bending

Eccentricity for Rectangular Section to maintain Stress as Wholly Compressive

Eccentricity for Solid Circular Sector to Maintain Stress as Wholly Compressive

Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero

Eccentricity to Maintain Stress as Wholly Compressive

Elasticity Modulus given Critical Bending Moment of Rectangular Beam

Loading of Beam of Uniform Strength

Minor Axis Moment of Inertia for Critical Bending Moment of Rectangular Beam

Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity

Shear Elasticity Modulus for Critical Bending Moment of Rectangular Beam

Stress of Beam of Uniform Strength

Ultimate Load for Continuous Beam

Unbraced Member Length given Critical Bending Moment of Rectangular Beam

Variables used in Structural Analysis of Beams PDF

a Distance from A end (Millimeter)
A Area of Cross-Section (Square Millimeter)
B Width of Beam Section (Millimeter)
C_w Warping Constant (Kilogram Square Meter)
D Outer Depth (Millimeter)
d_e Effective Depth of Beam (Millimeter)
d_i Inner Depth (Millimeter)
e Elastic Modulus (Pascal)
e' Eccentricity of Load (Millimeter)
E Modulus of Elasticity (Megapascal)
G Shear Modulus of Elasticity (Newton per Square Meter)
I_y Moment of Inertia about Minor Axis (Kilogram Square Meter)
J Torsional Constant
k Ratio between Plastic Moments
L Unbraced Length of Member (Centimeter)
Len Length of Rectangular Beam (Meter)
M_A Moment at Quarter Point (Newton Meter)
M_B Moment at Centerline (Newton Meter)
M_C Moment at Three-quarter Point (Newton Meter)
M_coeff Bending Moment Coefficient (Newton Meter)
M_cr Critical Bending Moment (Newton Meter)
M'_cr Non-Uniform Critical Bending Moment (Newton Meter)
M_Cr(Rect) Critical Bending Moment for Rectangular (Newton Meter)
M_max Maximum Bending Moment (Newton Meter)
M_p Plastic Moment (Kilonewton Meter)
M'max Maximum Moment (Newton Meter)
P Point Load (Kilonewton)
q Uniformly Distributed Load (Kilonewton per Meter)
t Dam Thickness (Millimeter)
U Ultimate Load (Kilonewton)
x Distance of point where Moment is Maximum (Meter)
x'' Point of Maximum Moment (Meter)
Z Section Modulus for Eccentric Load on Beam (Cubic Millimeter)
σ Stress of Beam (Pascal)
Φ Diameter of Circular Shaft (Millimeter)

Constants, Functions and Measurements used in Structural Analysis of Beams PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Measurement: Length in Millimeter (mm), Meter (m), Centimeter (cm)
Length Unit Conversion
Measurement: Volume in Cubic Millimeter (mm³)
Volume Unit Conversion
Measurement: Area in Square Millimeter (mm²)
Area Unit Conversion
Measurement: Pressure in Pascal (Pa), Megapascal (MPa), Newton per Square Meter (N/m²)
Pressure Unit Conversion
Measurement: Force in Kilonewton (kN)
Force Unit Conversion
Measurement: Surface Tension in Kilonewton per Meter (kN/m)
Surface Tension Unit Conversion
Measurement: Moment of Inertia in Kilogram Square Meter (kg·m²)
Moment of Inertia Unit Conversion
Measurement: Moment of Force in Newton Meter (N*m), Kilonewton Meter (kN*m)
Moment of Force Unit Conversion

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