By Jay O. Glerum M.A. B.A.
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Additional resources for Stage Rigging Handbook, Third Edition
5 lb. 5 lb. × 4 = 250 lb. HFl = HFr = 250 lb. 2. Moment Method If a vector diagram is not constructed, and the value for the weightper-unit is not found, the moment theorem, ∑M = 0, requires 24 some modification for finding the vertical forces. The following section will derive and illustrate the formulas. (Vl × P) VFl = ––––––––– (Vl + Vx ) Without a vector diagram, the value for Vx is not known. Using the similar-triangle formula and substituting (Vr × Hl) ÷ Hr for Vx in the VFl formula, (Vl × P) VFl = ––––––––––––– Vl + (Vr × Hl ) –––––– Hr [ ] To simplify the equation, both sides are multiplied by Hr ÷ Hr.
4 × 8 × 500) Tl = ––––––––––––––– [(5 × 8) + (4 × 6)] Tl = 400 lb. 5 lb. Summarizing the formulas, (Vl × Hr × P) VFl = –––––––––––––––––– [(Vl × Hr ) + (Vr × Hl )] (Vr × Hl × P) VFr = –––––––––––––––––– [(Vl × Hr ) + (Vr × Hl )] (Ll × Hr × P) Tl = ––––––––––––––––––– [(Vl × Hr ) + (Vr × Hl )] (Lr × Hl × P) Tr = ––––––––––––––––––– [(Vl × Hr ) + (Vr × Hl )] F. Ratio of Horizontal to Vertical Distance Changing the ratio of horizontal to vertical distance for the hanging points has an effect on the bridle tension and the horizontal forces on the hanging points.
5 in. 2). When all of her weight is on that one heel, the compressive stress on the area of the floor where she puts her heel at the moment is 120 lb. 25 in. 2 As the construction of a tall building is completed, more and more material is added to the structure, increasing the weight that the building supports. The building compresses and actually gets shorter. Engineers must take this compression into consideration when designing the structure. Stress can be caused by either tensile or compressive forces.
Stage Rigging Handbook, Third Edition by Jay O. Glerum M.A. B.A.