5. Determine the resultant forces on pins B and C on member ABC on the four- member frame. 6ft 3ft 200 lb/ft B C 5ft E D 3ft 6ft

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 5.26P: The figure shows the FBD of a portion of the space truss shown in Fig. P5.25. Use this FBD to find...
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**Problem Statement:**

**5. Determine the resultant forces on pins B and C on member ABC on the four-member frame.**

**Description and Analysis:**

The diagram provided illustrates a four-member frame comprised of members ABC, DEF, and ED. The frame includes several pinned connections and is subjected to a uniformly distributed load across the upper member AC.

**Key Dimensions:**
- The length of member AB is 6 feet.
- The length of member BC is 3 feet.
- The vertical component BD is 5 feet.
- The length of member DE is 6 feet.
- The length of member EF is 3 feet.

**Loading:**
- A uniformly distributed load of 200 pounds per foot (lb/ft) is applied along the entire length of member AC, which spans 9 feet.

**Objective:**
- To determine the resultant forces acting on pins B and C due to the applied load.

This analysis will involve using principles of static equilibrium, including the summation of forces and moments, to solve for the unknown reactions at pins B and C. The primary steps include:
1. Summing forces in the horizontal and vertical directions to establish equilibrium conditions.
2. Taking moments about suitable points to solve for the unknown reactions.
3. Accounting for the effects of the distributed load by converting it to an equivalent point load acting at the centroid of the load application area (the midpoint of member AC).

Performing these calculations will provide the necessary resultant forces on pins B and C, ensuring the frame remains in equilibrium.
Transcribed Image Text:**Problem Statement:** **5. Determine the resultant forces on pins B and C on member ABC on the four-member frame.** **Description and Analysis:** The diagram provided illustrates a four-member frame comprised of members ABC, DEF, and ED. The frame includes several pinned connections and is subjected to a uniformly distributed load across the upper member AC. **Key Dimensions:** - The length of member AB is 6 feet. - The length of member BC is 3 feet. - The vertical component BD is 5 feet. - The length of member DE is 6 feet. - The length of member EF is 3 feet. **Loading:** - A uniformly distributed load of 200 pounds per foot (lb/ft) is applied along the entire length of member AC, which spans 9 feet. **Objective:** - To determine the resultant forces acting on pins B and C due to the applied load. This analysis will involve using principles of static equilibrium, including the summation of forces and moments, to solve for the unknown reactions at pins B and C. The primary steps include: 1. Summing forces in the horizontal and vertical directions to establish equilibrium conditions. 2. Taking moments about suitable points to solve for the unknown reactions. 3. Accounting for the effects of the distributed load by converting it to an equivalent point load acting at the centroid of the load application area (the midpoint of member AC). Performing these calculations will provide the necessary resultant forces on pins B and C, ensuring the frame remains in equilibrium.
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