**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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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.

Question

**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

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