**Problem Statement:**The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of \( A_1 = 250 \, \text{mm}^2 \), an elastic modulus of \( E = 200 \, \text{GPa} \), and a coefficient of thermal expansion of \( \alpha = 11.3 \times 10^{-6} / ^{\circ} \text{C} \). The pin at C has a diameter of 25 mm. After load P has been applied and the temperature of the entire assembly has been increased by \( 10^{\circ} \text{C} \), the total strain in bar (1) is measured as \( 775 \, \mu \epsilon \) (elongation). Assume \( L_1 = 275 \, \text{mm} \), \( a = 545 \, \text{mm} \), \( b = 150 \, \text{mm} \), and \( c = 265 \, \text{mm} \). Determine:(a) the magnitude of load P.(b) the average shear stress in pin C.**Diagram Description:**The diagram features a rigid bar supported vertically at point D by a load \( P \), and horizontally by an axial bar (1) at point B. There is a pin connection at point C, holding the base of a hinge that connects to the rigid bar. The section from A to B represents bar (1) that extends horizontally and then bends to attach vertically with the rigid bar at point B.**Dimensions Provided:**- \( L_1 \) (distance from A to B): 275 mm- \( a \) (distance from C to D): 545 mm- \( b \) (distance from B to D): 150 mm- \( c \) (distance from C to B): 265 mm**Answers Section:**\( \begin{array}{cc}(a) & P = \quad \_ \_ \_ \_ \quad \text{kN} \\(b) & \tau_C = \quad \_ \_ \_ \_ \quad \text{MPa} \\\end{array} \)**Detail Mentioned:**- The cross-sectional view of the pinned connection

The magnitude of the load and the average shear stress in pin .Given:The cross-sectional area of…

The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 250 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.3 x 10-6/°C. The pin at C has a diameter of 25 mm. After load P has been applied and the temperature of the entire assembly has been increased by 10°C, the total strain in bar (1) is measured as 775 μ (elongation). Assume L₁= 275 mm, a = 545 mm, b = 150 mm, and c = 265 mm. Determine (a) the magnitude of load P. (b) the average shear stress in pin C. C L₁ Connection detail (1) B Rigid bar D

The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 250 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.3 x 10-6/°C. The pin at C has a diameter of 25 mm. After load P has been applied and the temperature of the entire assembly has been increased by 10°C, the total strain in bar (1) is measured as 775 μ (elongation). Assume L₁= 275 mm, a = 545 mm, b = 150 mm, and c = 265 mm. Determine (a) the magnitude of load P. (b) the average shear stress in pin C. C L₁ Connection detail (1) B Rigid bar D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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