The base of an automobile jackstand forms an equilateral triangle of side length 10 in, and is centered under the collar A. Model the structure as one with a ball and socket at each joint and determine the force in members BC, BD, and CD. The forces are positive if in tension, negative if in compression. Neglect any horizontal reaction components under the feet B, C, and D. Assume F-880 lb, b-10 in, h-15 in.

The base of an automobile jackstand forms an equilateral triangle of side length 10 in, and is centered under the collar A. Model the structure as one with a ball and socket at each joint and determine the force in members BC, BD, and CD. The forces are positive if in tension, negative if in compression. Neglect any horizontal reaction components under the feet B, C, and D. Assume F-880 lb, b-10 in, h-15 in.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.42P: The 350-lb homogeneous plate has the shape of an isosceles triangle. The plate is supported by a...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

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The base of an automobile jackstand forms an equilateral triangle of side length 10 in, and is centered under the collar A. Model the
structure as one with a ball and socket at each joint and determine the force in members BC, BD, and CD. The forces are positive if in
tension, negative if in compression. Neglect any horizontal reaction components under the feet B, C, and D.
Assume F-880 lb, b-10 in, h-15 in.
D
4

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Step 1: Given

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Step 2: Free body diagram

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Step 3: Triangle BCD

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Step 4: Coordiantes of ABCD and Position vector

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Step 5: Position Vectors CA

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Step 6: Position Vector DA

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Step 7: Force F

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Step 8: FBD at pint C

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