Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- The torsional assembly shown in the figure consists of a solid 60-mm diameter aluminum [G = 28 GPa] segment (2) and two bronze [G = 45 GPa] tube segments (1) and (3), which have an outside diameter of 75 mm and a wall thickness of 5 mm. If concentrated torques of TB = 9 kN-m and TC = 9 kN-m are applied in the directions shown, determine the following: 1. Calculate the polar moment of inertia of the bronze tube in mm^4. 2. Calculate the polar moment of inertia of the aluminum tube in mm^4. 3. Calculate the internal torque in the aluminum segment in kN.m 4. Calculate the internal torque in the bronze segment in kN.m 5. Calculate the maximum shear stress in bronze tube segments in MPa. 6. Calculate the maximum shear stress in aluminum tube segment in MPa. 7. Calculate the absolute value of the angle of twist of bronze tube in radian. 8. Calculate the absolute value of the angle of twist of aluminum tube in radian. Kindly answer all questions with complete solution pleasearrow_forwardA shaft of diameter 30 mm is to be used to transmit a torque. The shaft is manufactured from a material with a shear strength 86 MPa. Calculate the maximum torque the shaft can carry. Provide your answer in Nm to at least one decimal place.arrow_forwardNote: hand written solution is not allowed.arrow_forward
- Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: T, s 90MPA, T. S 65MPA and the angle of rotation of the free end limited to 11°. Use GS 84 GPa and Ga = 27 GPa. %3D %3D 75 mm Aluminum Steel 50 mm 2 m 1.5 marrow_forwardExample 21.18. A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of a square brass bar 25 mm on a side and 400 mm long, the geometric axis of the bars lying along the same line. An axial tensile force of 5 kN is applied at each of extreme ends. Determine the elongation of assembly. For steel E = 200 GPa and for brass E₁ = 90 GPaarrow_forwardThe torsional element shown consists of two solid shafts; steel shaft (1) with a length of L1 = 650 mm, a diameter of d1 = 39 mm, and a modulus of rigidity of G1= 40 GPa; and copper shaft (2) with a length of L2 = 1445 mm, a diameter of d2 = 23 mm and a modulus of rigidity of G2= 85 GPa. A torque of TB = 835 N.m and a torque of TC = 300 N.m are applied on the shaft at joints B and C, respectively. [L1 = 650 mm, d1 = 39 mm, G1= 40 GPa; L2 = 1445 mm, d2 = 23 mm, G2= 85 GPa, TB = 835 N.m, TC = 300 N.m] Determine the internal torque in shaft (2).N.m Determine the maximum shear stress in shaft (2). Determine the angle of twist in shaft (1). Determine the angle of twist in shaft (2).in rad Determine the angle of twist at C with respect to the support.in radarrow_forward
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