Knowing that the radius of each pulley is 200 mm, P= 440 N, and neglecting friction, determine the internal forces at point J of the frame shown. (Round the magnitudes to the nearest whole number and the angles to one decimal place.) 1.8 m B A D 0.8 m K 0.8 m E| 0.8 m The axial force Fis 244.483 N The shear force Vis -146.66 N 4 The bending moment Mis 146.668 -0.2 m P 37 °. 53 *°. N-m in the counter-clockwise direction

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Problem Statement:**

Knowing that the radius of each pulley is 200 mm, \( P = 440 \, \text{N} \), and neglecting friction, determine the internal forces at point \( J \) of the frame shown. (Round the magnitudes to the nearest whole number and the angles to one decimal place.)

**Diagram Explanation:**

The diagram illustrates a mechanical system featuring a frame with pulleys. Key components and dimensions are labeled:
- The frame adheres to a vertical wall at point \( B \).
- Points \( A, B, C, D, E, \) and \( J \) are marked on the frame.
- Pulley connections are visible at points \( C \) and \( E \) with a force \( P \) acting vertically downward at \( E \).
- Dimensions include a vertical distance of 1.8 m from \( B \) to \( D \), and horizontal segments of length 0.8 m from \( E \) to \( K \) and from \( K \) to \( D \), with an additional 0.2 m from \( E \) along a vertical line.

**Calculations:**

- The axial force \( F \) is \( 244.483 \, \text{N} \), directed at an angle of \( 37^\circ \).
- The shear force \( V \) is \( -146.66 \, \text{N} \), acting at an angle of \( 53^\circ \).
- The bending moment \( M \) is \( 146.668 \, \text{N} \cdot \text{m} \), in the counter-clockwise direction.

Ensure to visualize how forces are applied within the frame, considering the given constraints and dimensions to understand the internal force distribution thoroughly.
Transcribed Image Text:**Problem Statement:** Knowing that the radius of each pulley is 200 mm, \( P = 440 \, \text{N} \), and neglecting friction, determine the internal forces at point \( J \) of the frame shown. (Round the magnitudes to the nearest whole number and the angles to one decimal place.) **Diagram Explanation:** The diagram illustrates a mechanical system featuring a frame with pulleys. Key components and dimensions are labeled: - The frame adheres to a vertical wall at point \( B \). - Points \( A, B, C, D, E, \) and \( J \) are marked on the frame. - Pulley connections are visible at points \( C \) and \( E \) with a force \( P \) acting vertically downward at \( E \). - Dimensions include a vertical distance of 1.8 m from \( B \) to \( D \), and horizontal segments of length 0.8 m from \( E \) to \( K \) and from \( K \) to \( D \), with an additional 0.2 m from \( E \) along a vertical line. **Calculations:** - The axial force \( F \) is \( 244.483 \, \text{N} \), directed at an angle of \( 37^\circ \). - The shear force \( V \) is \( -146.66 \, \text{N} \), acting at an angle of \( 53^\circ \). - The bending moment \( M \) is \( 146.668 \, \text{N} \cdot \text{m} \), in the counter-clockwise direction. Ensure to visualize how forces are applied within the frame, considering the given constraints and dimensions to understand the internal force distribution thoroughly.
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