Rigid bar ABCD is loaded and supported as shown. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze [E = 100 GPa] and has a cross-sectional area of 580 mm². Bar (2) is made of aluminum [E = 70 GPa] and has a cross-sectional area of 950 mm². After the load P is applied, the force in bar (2) is found to be 16 kN (in tension). Assume a = 0.3 m, b = 1.0 m, c = 0.6 m, L₁= 0.5 m, and L₂= 0.9 m. Determine (a) the stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative. (b) the vertical deflection of point A. The vertical deflection is positive if downward and negative if upward. (c) the load P.
Rigid bar ABCD is loaded and supported as shown. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze [E = 100 GPa] and has a cross-sectional area of 580 mm². Bar (2) is made of aluminum [E = 70 GPa] and has a cross-sectional area of 950 mm². After the load P is applied, the force in bar (2) is found to be 16 kN (in tension). Assume a = 0.3 m, b = 1.0 m, c = 0.6 m, L₁= 0.5 m, and L₂= 0.9 m. Determine (a) the stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative. (b) the vertical deflection of point A. The vertical deflection is positive if downward and negative if upward. (c) the load P.
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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![**Problem Statement:**
A rigid bar ABCD is loaded and supported as shown in the diagram. Bars (1) and (2) are unstressed before the load \( P \) is applied. Bar (1) is made of bronze \([E = 100 \, \text{GPa}]\) and has a cross-sectional area of \( 580 \, \text{mm}^2 \). Bar (2) is made of aluminum \([E = 70 \, \text{GPa}]\) and has a cross-sectional area of \( 950 \, \text{mm}^2 \). After the load \( P \) is applied, the force in bar (2) is found to be \( 16 \, \text{kN} \) (in tension). Assume \( a = 0.3 \, \text{m} \), \( b = 1.0 \, \text{m} \), \( c = 0.6 \, \text{m} \), \( L_1 = 0.5 \, \text{m} \), and \( L_2 = 0.9 \, \text{m} \). Determine:
(a) The stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative.
(b) The vertical deflection of point A. The vertical deflection is positive if downward and negative if upward.
(c) The load \( P \).
**Diagram Description:**
The diagram consists of a rigid bar ABCD and two vertical bars labeled (1) and (2) positioned as support. The lengths and positions are marked with the following parameters:
- Distance from A to B: \( a \)
- Distance from B to C: \( b \)
- Distance from C to D: \( c \)
- Length of bar (1): \( L_1 \)
- Length of bar (2): \( L_2 \)
Bar (1) is attached vertically below point A of the rigid bar and extends downward. Bar (2) is attached vertically above point C of the rigid bar and extends upward. The force \( P \) is applied vertically downward at point A. The deflection of various points and stress in different bars are to be calculated as per the given conditions.
**Answers:**
1. Stress in bar (1), \( \sigma](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8209b3d5-f39b-4753-8582-d28823046294%2F54d03dfd-35ca-4899-bc99-23ac8885e216%2Fld4ogz_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A rigid bar ABCD is loaded and supported as shown in the diagram. Bars (1) and (2) are unstressed before the load \( P \) is applied. Bar (1) is made of bronze \([E = 100 \, \text{GPa}]\) and has a cross-sectional area of \( 580 \, \text{mm}^2 \). Bar (2) is made of aluminum \([E = 70 \, \text{GPa}]\) and has a cross-sectional area of \( 950 \, \text{mm}^2 \). After the load \( P \) is applied, the force in bar (2) is found to be \( 16 \, \text{kN} \) (in tension). Assume \( a = 0.3 \, \text{m} \), \( b = 1.0 \, \text{m} \), \( c = 0.6 \, \text{m} \), \( L_1 = 0.5 \, \text{m} \), and \( L_2 = 0.9 \, \text{m} \). Determine:
(a) The stresses in bars (1) and (2). By convention, tensile stresses are positive and compressive stresses are negative.
(b) The vertical deflection of point A. The vertical deflection is positive if downward and negative if upward.
(c) The load \( P \).
**Diagram Description:**
The diagram consists of a rigid bar ABCD and two vertical bars labeled (1) and (2) positioned as support. The lengths and positions are marked with the following parameters:
- Distance from A to B: \( a \)
- Distance from B to C: \( b \)
- Distance from C to D: \( c \)
- Length of bar (1): \( L_1 \)
- Length of bar (2): \( L_2 \)
Bar (1) is attached vertically below point A of the rigid bar and extends downward. Bar (2) is attached vertically above point C of the rigid bar and extends upward. The force \( P \) is applied vertically downward at point A. The deflection of various points and stress in different bars are to be calculated as per the given conditions.
**Answers:**
1. Stress in bar (1), \( \sigma
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