Meriam, Kraige & Bolton — Equilibrium of Rigid Bodies: Problem 4_102

⚡ Mecademy AIENG정역학 · ch4  Problem Statement The upper jaw of the toggle press slides with negligible frictional resistance along the fixed vertical column. Calculate the compressive force exerted on the cylinder and the force supported by the pin at if a force is applied to the handle at an angle . Problem 4/102 (a) Calculate the compressive force exerted on the cylinder 1. Formula: First, we determine the geometry of the mechanism. From the diagram, the handle is a single rigid lever pivoted at . The angle is between the handle and the horizontal, meaning the angle with the vertical is . Assuming members and are collinear, the link also makes an angle of with the vertical. Since link and pin is on the same vertical line as pin , link must also make an angle of with the vertical. We sum moments about pin for the lever to find the force in link ( ): where is the perpendicular distance from to the line of action of link . Then, we use vertical equilibrium of the slider to find the reaction : 2. Substitution: The perpendicular distance is calculated using the geometry of the links: D RE AF=200 Nθ=75 ∘ RE FABAθ=75 ∘ α=90− ∘ 75= ∘ 15 ∘ AFABAB 15 ∘ BC=AB=100 mmC ABC15 ∘ AFABBCF BC M = ∑ A 0⟹F⋅L − AF F ⋅ BC d = BC 0 d BC ABC DR F = ∑ y 0⟹R−F cosα= BC 0 F=200 N L = AF 250 mm d BC d = BC (2⋅ABcosα)sinα=2⋅100⋅cos15⋅ ∘ sin15= ∘ 100sin(2⋅ Substituting into the moment equation: Substituting into the vertical force equation: 3. Calculation: Calculate link force : Calculate reaction : 4.