The material used for the shaft has an allowable shear stress of tallow= 40 MPa. If themembers are connected together with a fillet weld of radius r= 2.25 mm, determine themaximum torque T that can be applied. Where will the largest stress occur?30 mm30 mm15 mmTTTFigure 6

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Answered: The material used for the shaft has an…

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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The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.55 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.8 ksi. Brass segment (2) has an outside diameter of 0.45 in., a wall thickness of 0.15 in., a length of L₂ = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine: (a) the allowable torque Te that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ L2 TB (1) Answer: (a) TB= (b) T₁ = T2= (c) OB= B lb-ft lb-ft lb-ft rad (2) C
Two steel rods are welded together (see figure);the seam is oriented at angle θ = 50°. The stresses onthe rotated element are σ x1 = 10 ksi, σy1 = -12 ksi,and τx1y1 = -5 ksi. Find the state of plane stress onthe element if it is rotated clockwise to align the x1axis with the longitudinal axis of the rods.
Load P is applied to joint D and the temperature increases by 50 °F. There are two steel (E = 29*10^6 psi; a = 6.5*10^-6/°F) AD and DC and a bronze (E = 16*10^6 psi; a = 9*10^-6/°F) BD with a length of 50 inches. Each bar is a 0.75 inch diameter. Find the deformation of every rod, the displacement at D, and the stress in each rod.

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The material used for the shaft has an allowable shear stress of tallow= 40 MPa. If the members are connected together with a fillet weld of radius r= 2.25 mm, determine the maximum torque T that can be applied. Where will the largest stress occur? 30 mm 30 mm 15 mm T T T 2 Figure 6