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270 KN 1. The round bar shown in the figure has steel, brass, and aluminum sections. Axial loads are applied at cross sections A, B, C, and D. If the allowable axial stresses are 125MPa in the steel, 70MPa in the brass, and 85MPa in the aluminum, determine the diameters required for each of the sections Assume that the allowable stresses are the same for tension (T) and compression (C). Include Solution and Free Body Diagram. Magnitude Steel 245 AN- 0.5m- Brass C Aluminum D 200 kN-> -0.5 m -0.5m 225 KN Description Internal axial force on steel section, R Internal axial force on brass section, Re Internal axial force on aluminum section, R Required Diameter for Steelsection, D Required Diameter for Brass section, Du Required Diameter for Aluminum section, D KN KN KN mm

270 KN 1. The round bar shown in the figure has steel, brass, and aluminum sections. Axial loads are applied at cross sections A, B, C, and D. If the allowable axial stresses are 125MPa in the steel, 70MPa in the brass, and 85MPa in the aluminum, determine the diameters required for each of the sections Assume that the allowable stresses are the same for tension (T) and compression (C). Include Solution and Free Body Diagram. Magnitude Steel 245 AN- 0.5m- Brass C Aluminum D 200 kN-> -0.5 m -0.5m 225 KN Description Internal axial force on steel section, R Internal axial force on brass section, Re Internal axial force on aluminum section, R Required Diameter for Steelsection, D Required Diameter for Brass section, Du Required Diameter for Aluminum section, D KN KN KN mm

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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270 KN Collar 1. The round bar shown in the figure has steel, brass, and aluminum sections. Axial loads are applied at cross sections A, B, C, and D. If the allowable axial stresses are 125MPa in the steel, 70MPa in the brass, and 85MPa in the aluminum, determine the diameters required for each of the sections Assume that the allowable stresses are the same for tension (T) and compression (C). Include Solution and Free Body Diagram. Steel 245 KN -0.5m- Brass 100 mm 150 mm Bell crank 200 kN. -0.5 m C Aluminum D -0.5 m Support bracket- 25 mm 2. A vertical shaft is supported by a thrust collar and bearing plate as shown in the figure. Determine the maximum axial load that can be applied to the shaft if the average punching shear stress in the collar and the average bearing stress between the collar and the plate are limited to 75MPa and 100MPa, respectively. Include Solution and Free Body Diagram. 6 mm 225 KN Description Internal axial force on steel section, Rs= Internal axial force on brass section, Re Internal axial force on aluminum section, R Required Diameter for Steel section, Ds= Required Diameter for Brass section, D Required Diameter for Aluminum section, D Description Axial load from Punching Shear load/force of the Collar, Pv= Axial load from Bearing load between the collar & plate, Pa = Therefore, the Safe Maximum axial load P applied to the shaft is, P= Shear Area of the Punching Shear Stress in the collar, Av= Bearing Area of the Bearing Stress between the collar and plate, As = 8 mm 6 mm 3. The bell-crank mechanism shown in the figure is in equilibrium for an applied load of P=7KN applied at A. Assume a=200mm, b=150mm, and B-650. Determine the minimum diameter D required for pin B for each for each of the following conditions: (a) The average shear stress in the pin may not exceed 100MPa, (b) The bearing stress in the bell crank may not exceed 100MPa, (c) The bearing stress in the support bracket may not exceed 165MPa. (1) Description Magnitude of force F₁ at pt. C. X-component of reaction at pt. B. Y-component of reaction at pt. B, Total reaction at the pin support at pt B, Pin Diameter for Shear stress in the pin, Pin Diameter for Bearing stress in the bell crank, Pin Diameter for Bearing stress in the support bracket.de Therefore, the Required safe minimum diameter of of the pin at the support, Magnitude F₁ Rax= Ray= R₂ ds= das = KN KN KN d= mm Magnitude Magnitude KN KN KN KN mm mm mm mm
Transcribed Image Text:270 KN Collar 1. The round bar shown in the figure has steel, brass, and aluminum sections. Axial loads are applied at cross sections A, B, C, and D. If the allowable axial stresses are 125MPa in the steel, 70MPa in the brass, and 85MPa in the aluminum, determine the diameters required for each of the sections Assume that the allowable stresses are the same for tension (T) and compression (C). Include Solution and Free Body Diagram. Steel 245 KN -0.5m- Brass 100 mm 150 mm Bell crank 200 kN. -0.5 m C Aluminum D -0.5 m Support bracket- 25 mm 2. A vertical shaft is supported by a thrust collar and bearing plate as shown in the figure. Determine the maximum axial load that can be applied to the shaft if the average punching shear stress in the collar and the average bearing stress between the collar and the plate are limited to 75MPa and 100MPa, respectively. Include Solution and Free Body Diagram. 6 mm 225 KN Description Internal axial force on steel section, Rs= Internal axial force on brass section, Re Internal axial force on aluminum section, R Required Diameter for Steel section, Ds= Required Diameter for Brass section, D Required Diameter for Aluminum section, D Description Axial load from Punching Shear load/force of the Collar, Pv= Axial load from Bearing load between the collar & plate, Pa = Therefore, the Safe Maximum axial load P applied to the shaft is, P= Shear Area of the Punching Shear Stress in the collar, Av= Bearing Area of the Bearing Stress between the collar and plate, As = 8 mm 6 mm 3. The bell-crank mechanism shown in the figure is in equilibrium for an applied load of P=7KN applied at A. Assume a=200mm, b=150mm, and B-650. Determine the minimum diameter D required for pin B for each for each of the following conditions: (a) The average shear stress in the pin may not exceed 100MPa, (b) The bearing stress in the bell crank may not exceed 100MPa, (c) The bearing stress in the support bracket may not exceed 165MPa. (1) Description Magnitude of force F₁ at pt. C. X-component of reaction at pt. B. Y-component of reaction at pt. B, Total reaction at the pin support at pt B, Pin Diameter for Shear stress in the pin, Pin Diameter for Bearing stress in the bell crank, Pin Diameter for Bearing stress in the support bracket.de Therefore, the Required safe minimum diameter of of the pin at the support, Magnitude F₁ Rax= Ray= R₂ ds= das = KN KN KN d= mm Magnitude Magnitude KN KN KN KN mm mm mm mm
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