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A simple truss supports a force F at joint A, as shown in the figure below. The force has a magnitude F and is inclined by an angle 0 = 60° from the horizontal. The lengths for all horizontal members is s = 8 m and for all vertical members is h = 3 m. The truss is held in equilibrium by a pin at point E and a roller at point F. Using the method of joints, determine the largest applied force Fmaz so that the force in each truss member does not exceed +1600 kN. Note: Express tension forces as positive (+) and compression forces as negative (-). F Fmaz S number (rtol-0.01, atol-1e-05) S kN S E

A simple truss supports a force F at joint A, as shown in the figure below. The force has a magnitude F and is inclined by an angle 0 = 60° from the horizontal. The lengths for all horizontal members is s = 8 m and for all vertical members is h = 3 m. The truss is held in equilibrium by a pin at point E and a roller at point F. Using the method of joints, determine the largest applied force Fmaz so that the force in each truss member does not exceed +1600 kN. Note: Express tension forces as positive (+) and compression forces as negative (-). F Fmaz S number (rtol-0.01, atol-1e-05) S kN S E

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Truss Analysis Using the Method of Joints** A simple truss supports a force \( F \) at joint \( A \), as illustrated in the figure. The force has a magnitude \( F \) and is inclined by an angle \( \theta = 60^\circ \) from the horizontal. The lengths for all horizontal members are \( s = 8 \, \text{m} \) and the length for all vertical members is \( h = 3 \, \text{m} \). The truss is held in equilibrium by a pin at point \( E \) and a roller at point \( F \). Using the method of joints, determine the largest applied force \( F_{\text{max}} \) so that the force in each truss member does not exceed \( \pm1600 \, \text{kN} \). **Note:** Express tension forces as positive (+) and compression forces as negative (-). **Diagram Explanation:** - The truss consists of a series of members connected at joints \( A, B, C, D, E, \) and \( F \). - The force \( F \) is applied at joint \( A \) at an angle \( \theta = 60^\circ \) from the horizontal. - Horizontal member lengths are denoted as \( s = 8 \, \text{m} \). - Vertical members have a consistent length of \( h = 3 \, \text{m} \). - Points \( E \) and \( F \) provide support: \( E \) is pinned, while \( F \) is supported by a roller. **Key Objective:** - Calculate the maximum force \( F_{\text{max}} \) ensuring that none of the truss members experience forces beyond \( \pm1600 \, \text{kN} \). The graph representing the truss does not contain any numerical values indicating forces but illustrates the configuration of the truss system and support structures.
Transcribed Image Text:**Truss Analysis Using the Method of Joints** A simple truss supports a force \( F \) at joint \( A \), as illustrated in the figure. The force has a magnitude \( F \) and is inclined by an angle \( \theta = 60^\circ \) from the horizontal. The lengths for all horizontal members are \( s = 8 \, \text{m} \) and the length for all vertical members is \( h = 3 \, \text{m} \). The truss is held in equilibrium by a pin at point \( E \) and a roller at point \( F \). Using the method of joints, determine the largest applied force \( F_{\text{max}} \) so that the force in each truss member does not exceed \( \pm1600 \, \text{kN} \). **Note:** Express tension forces as positive (+) and compression forces as negative (-). **Diagram Explanation:** - The truss consists of a series of members connected at joints \( A, B, C, D, E, \) and \( F \). - The force \( F \) is applied at joint \( A \) at an angle \( \theta = 60^\circ \) from the horizontal. - Horizontal member lengths are denoted as \( s = 8 \, \text{m} \). - Vertical members have a consistent length of \( h = 3 \, \text{m} \). - Points \( E \) and \( F \) provide support: \( E \) is pinned, while \( F \) is supported by a roller. **Key Objective:** - Calculate the maximum force \( F_{\text{max}} \) ensuring that none of the truss members experience forces beyond \( \pm1600 \, \text{kN} \). The graph representing the truss does not contain any numerical values indicating forces but illustrates the configuration of the truss system and support structures.
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