Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
A continuous beam ABC is supported at A, B, and C. There is a downward point load of 10 kN applied b...
Structural MechanicsCastigliano's TheoremBeam DeflectionStatics
2025/7/9
The problem asks us to determine the reaction at support B of a beam using Castigliano's theorem. Th...
Structural MechanicsBeam AnalysisCastigliano's TheoremStaticsBending MomentEngineering
2025/7/9
The problem asks us to determine the reaction at support B for a given structure using Castigliano's...
Structural MechanicsCastigliano's TheoremBeam DeflectionStaticsEngineering
2025/7/9
The problem asks us to determine the reaction at the support of a given structure using Castigliano'...
Structural EngineeringCastigliano's TheoremStaticsBeam AnalysisDeflectionEquilibrium
2025/7/9
The problem consists of multiple parts related to the motion of a car. B. A car moves with constant ...
PhysicsKinematicsCircular MotionVelocityAngular VelocityFrictionCentripetal ForceBanking of Curves
2025/7/9
A fluid with density $d$ flows through a pipe. I. The cross-sectional area at point x is $A_1 = 48 \...
Fluid DynamicsContinuity EquationBernoulli's EquationPhysicsVelocityPressure
2025/7/9
A horizontal pipe has a cross-sectional area of $A_1 = 48 \text{ cm}^2$ at point x. The pipe narrows...
Fluid DynamicsEquation of ContinuityPhysicsVelocityArea
2025/7/9
A fluid with density $d$ flows in a turbulent manner through a pipe of cross-sectional area $A$. Fin...
Fluid DynamicsBernoulli's EquationContinuity EquationPressureTurbulent Flow
2025/7/9
The problem describes a Venturi meter used to measure the velocity of a fluid flow. The Venturi mete...
Fluid DynamicsBernoulli's EquationVenturi MeterPressureVelocityContinuity Equation
2025/7/9
The problem asks to determine the reaction at the support B of a continuous beam ABC using Castiglia...
Structural EngineeringCastigliano's TheoremBeam AnalysisStaticsStrain EnergyBending Moment
2025/7/8