Solutions Manual – Structural Analysis
Normal Stress - ANSWERSForce per unit area, measured in Pascals.
Load P - ANSWERSForce applied, calculated as 33.1 kN.
Cross-Sectional Area - ANSWERSArea through which load acts, 800 mm².
Free Body Diagram - ANSWERSVisual representation of forces acting on a body.
Shearing Stress - ANSWERSStress parallel to the cross-section, measured in Pa.
Bearing Stress - ANSWERSStress on contact surfaces, calculated at connection points.
Pin Diameter - ANSWERSSize of pin, affecting stress calculations, e.g., 6 mm.
Average Shearing Stress - ANSWERSCalculated as 23.0 MPa for pin at C.
Nominal Bearing Stress - ANSWERSCalculated stress at contact, e.g., 24.1 MPa.
Force Member - ANSWERSMember subjected to forces, e.g., BCD member.
Geometry in Forces - ANSWERSUsed to determine lengths and angles in calculations.
Angle θ - ANSWERSAngle affecting force components, e.g., 75 degrees.
,Stress Formula - ANSWERSStress equals force divided by area.
Load Distribution - ANSWERSHow forces are spread across structural elements.
Force Calculation - ANSWERSSum of forces in equilibrium, e.g., ΣF = 0.
Thickness of Member - ANSWERSDimension affecting stress, e.g., 15 mm thick.
Diameter of Bolt - ANSWERSSize of bolt affecting bearing stress, e.g., 9 mm.
Resultant Force - ANSWERSCombined effect of multiple forces acting on a member.
Stress in Splice - ANSWERSCalculated stress in glued joint, e.g., 489 kPa.
Uniform Cross Section - ANSWERSConsistent area along the length of a member.
Force at Connection - ANSWERSForce acting at joint, e.g., 500 N at C.
Stress Distribution - ANSWERSVariation of stress across a structural element.
Load Magnitude - ANSWERSThe total force applied to a structure.
Ultimate Shearing Stress - ANSWERSMaximum shear stress before failure, 150 MPa.
Ultimate Normal Stress - ANSWERSMaximum normal stress before failure, 400 MPa.
,Factor of Safety - ANSWERSSafety margin, desired value is 3.0.
Load P - ANSWERSMaximum load applied at point A.
Link BD - ANSWERSStructural component with specified ultimate stress.
Tension on Net Section - ANSWERSForce per unit area in link BD.
Shear in Pins - ANSWERSStress experienced by pins at connections.
Smaller Value of FBD - ANSWERSMinimum force calculated from shear stress.
Allowable Value of P - ANSWERSMaximum permissible load based on calculations.
Member ABC - ANSWERSStructural member supported by pin and cable.
Cable BD - ANSWERSTwo-force member supporting load P.
Factor of Safety for Cable - ANSWERSSafety margin for cable failure, calculated as 3.45.
Ultimate Load for Cable - ANSWERSMaximum load capacity of cable BD, 100 kN.
Link AC - ANSWERSSteel link with ultimate normal stress of 65 ksi.
Cross Section Area - ANSWERSArea of link AC, 1.25 in².
, Pin Diameter - ANSWERSDiameter of pins connecting members, varies by connection.
Shear Stress in Pins - ANSWERSMaximum shear stress in pins, 25 ksi.
Tension on Net Section of A - ANSWERSForce per unit area in link A.
Deflection at A - ANSWERSVertical displacement at point A, targeted to be zero.
Deflection of B - ANSWERSVertical displacement at point B, calculated from load.
Allowable Load P - ANSWERSMaximum load based on shear and tension limits.
Shear in Pin at C - ANSWERSStress in pin C due to applied loads.
Force in member AB - ANSWERSTension force denoted as P in member AB.
Force in member BC - ANSWERSCompression force denoted as Q - P in member BC.
Elongation - ANSWERSChange in length due to applied force.
Shortening - ANSWERSDecrease in length due to compressive force.
Zero deflection condition - ANSWERSCondition where deflections at point A are equal.
Deflection at A - ANSWERSMaximum allowable displacement at point A.
Normal Stress - ANSWERSForce per unit area, measured in Pascals.
Load P - ANSWERSForce applied, calculated as 33.1 kN.
Cross-Sectional Area - ANSWERSArea through which load acts, 800 mm².
Free Body Diagram - ANSWERSVisual representation of forces acting on a body.
Shearing Stress - ANSWERSStress parallel to the cross-section, measured in Pa.
Bearing Stress - ANSWERSStress on contact surfaces, calculated at connection points.
Pin Diameter - ANSWERSSize of pin, affecting stress calculations, e.g., 6 mm.
Average Shearing Stress - ANSWERSCalculated as 23.0 MPa for pin at C.
Nominal Bearing Stress - ANSWERSCalculated stress at contact, e.g., 24.1 MPa.
Force Member - ANSWERSMember subjected to forces, e.g., BCD member.
Geometry in Forces - ANSWERSUsed to determine lengths and angles in calculations.
Angle θ - ANSWERSAngle affecting force components, e.g., 75 degrees.
,Stress Formula - ANSWERSStress equals force divided by area.
Load Distribution - ANSWERSHow forces are spread across structural elements.
Force Calculation - ANSWERSSum of forces in equilibrium, e.g., ΣF = 0.
Thickness of Member - ANSWERSDimension affecting stress, e.g., 15 mm thick.
Diameter of Bolt - ANSWERSSize of bolt affecting bearing stress, e.g., 9 mm.
Resultant Force - ANSWERSCombined effect of multiple forces acting on a member.
Stress in Splice - ANSWERSCalculated stress in glued joint, e.g., 489 kPa.
Uniform Cross Section - ANSWERSConsistent area along the length of a member.
Force at Connection - ANSWERSForce acting at joint, e.g., 500 N at C.
Stress Distribution - ANSWERSVariation of stress across a structural element.
Load Magnitude - ANSWERSThe total force applied to a structure.
Ultimate Shearing Stress - ANSWERSMaximum shear stress before failure, 150 MPa.
Ultimate Normal Stress - ANSWERSMaximum normal stress before failure, 400 MPa.
,Factor of Safety - ANSWERSSafety margin, desired value is 3.0.
Load P - ANSWERSMaximum load applied at point A.
Link BD - ANSWERSStructural component with specified ultimate stress.
Tension on Net Section - ANSWERSForce per unit area in link BD.
Shear in Pins - ANSWERSStress experienced by pins at connections.
Smaller Value of FBD - ANSWERSMinimum force calculated from shear stress.
Allowable Value of P - ANSWERSMaximum permissible load based on calculations.
Member ABC - ANSWERSStructural member supported by pin and cable.
Cable BD - ANSWERSTwo-force member supporting load P.
Factor of Safety for Cable - ANSWERSSafety margin for cable failure, calculated as 3.45.
Ultimate Load for Cable - ANSWERSMaximum load capacity of cable BD, 100 kN.
Link AC - ANSWERSSteel link with ultimate normal stress of 65 ksi.
Cross Section Area - ANSWERSArea of link AC, 1.25 in².
, Pin Diameter - ANSWERSDiameter of pins connecting members, varies by connection.
Shear Stress in Pins - ANSWERSMaximum shear stress in pins, 25 ksi.
Tension on Net Section of A - ANSWERSForce per unit area in link A.
Deflection at A - ANSWERSVertical displacement at point A, targeted to be zero.
Deflection of B - ANSWERSVertical displacement at point B, calculated from load.
Allowable Load P - ANSWERSMaximum load based on shear and tension limits.
Shear in Pin at C - ANSWERSStress in pin C due to applied loads.
Force in member AB - ANSWERSTension force denoted as P in member AB.
Force in member BC - ANSWERSCompression force denoted as Q - P in member BC.
Elongation - ANSWERSChange in length due to applied force.
Shortening - ANSWERSDecrease in length due to compressive force.
Zero deflection condition - ANSWERSCondition where deflections at point A are equal.
Deflection at A - ANSWERSMaximum allowable displacement at point A.
