Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
Two plates are joined with bolts and subjected to shear with a force of $P = 44$ kN. If the bolt mat...
Engineering MechanicsStress AnalysisShear StressBolt DesignSafety FactorUnits Conversion
2025/5/15
The problem presents a simply supported beam with two point loads. The beam is supported at points A...
Structural MechanicsBeam AnalysisShear Force DiagramBending Moment DiagramStatics
2025/5/15
The problem is to determine the maximum absolute bending moment in a beam subjected to a uniformly d...
Structural MechanicsBeam BendingShear ForceBending MomentStatics
2025/5/15
We are given a frame structure with a uniformly distributed load of 4 kN/m on the vertical member AB...
StaticsStructural AnalysisEquilibriumSupport ReactionsForce CalculationMoment Calculation
2025/5/15
The problem shows a simply supported beam with a point load F applied at a distance a from support A...
StaticsStructural MechanicsBeam AnalysisEquilibriumSupport ReactionsShear ForceBending Moment
2025/5/15
The problem asks to use equilibrium equations to find support reactions. The equilibrium equations g...
StaticsEquilibriumSupport ReactionsFree Body DiagramMomentsForcesStructural Analysis
2025/5/15
We are given a second-order linear homogeneous differential equation $y'' + 4y = 0$ with boundary co...
Differential EquationsSecond-order Linear HomogeneousBoundary Value ProblemInitial Value ProblemOrdinary Differential Equations
2025/5/14
We are given a system of linear differential equations: $x' = x + 2y$ $y' = x$ with initial conditio...
Differential EquationsLinear Differential EquationsInitial Value ProblemSecond-Order Differential EquationsCharacteristic EquationSystem of Differential Equations
2025/5/14
We are given the second-order linear homogeneous differential equation $y'' + 4y = 0$ with boundary ...
Differential EquationsSecond-Order Differential EquationsBoundary Value ProblemTrigonometry
2025/5/14
The problem states that a student takes 8 seconds to solve a problem, correct to the nearest second....
RoundingError AnalysisInequalitiesReal Numbers
2025/5/14