*11-80. The man has a mass of 78 kg and stands motionlessat the end of the diving board. If the board has the crosssection shown, determine the maximum normal straindeveloped in the board. The modulus af elasticity for thematerial is E = 125 GPa. Asume A is a pin and Bis a roller.350 mm30-25m-10 rfim 10 mim 10 mem

Answered: *11-80. The man has a mass of 78 kg and…

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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A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v=0.33] pipe has an outside diameter of 200 mm, a wall thickness of 5 mm, and a length of 5.4 m. The pipe supports a compressive load of 670 kN. After the temperature of the pipe drops 43°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) 6= i AD= i mm mm
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A rigid bar ABCD is supported by two bars as shown in the figure. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in rod (1) is -1350 µm/m. Determine the normal strain in rod (2) if there is a 1-mm gap in the connection at pin C before the load is applied. A 240 mm B (1) O 1281 um/m O 1877 µm/m O 1141 µm/m O 1358 µm/m O 999 µm/m 360 mm (2) Rigid bar 900 mm C 140 mm, 1,500 mm
A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of 215 mm, a wall thickness of 12 mm, and a length of 4.3 m. The pipe supports a compressive load of 695 kN. After the temperature of the pipe drops 43°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) ō = i AD = i mm mm
A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of 270 mm, a wall thickness of 15 mm, and a length of 5.5 m. The pipe supports a compressive load of 635 kN. After the temperature of the pipe drops 45°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) 8 = i AD= i mm mm
A rigid bar of negligible weight is supported and loaded with 70 kN, compute the temperature change AT (°C) that will cause the stress in the bronze rod (L = 1.5 m, A = 300 mm?, and E = 83 GPa) to be 50 MPa. Assume a = 18.9 µm/(m°C) for bronze and 12.8 um/(m°C) for aluminum (L = 3 m, A = 750 mm2, and E = 70 GPa). Aluminum Bronze 2.5 m 1.5 m 70 kN
A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v=0.33] pipe has an outside diameter of 225 mm, a wall thickness of 15 mm, and a length of 5.0m. The pipe supports a compressive load of 670 kN. After the temperature of the pipe drops 48°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) 8 = mm AD= i mm
Determine the normal stress and change in length of the aluminum rod if the temperature was raised by 125°C. The 0.5-mm gap exists at 20°C. q = 5 t = 0
The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 78 GPa. The steel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assumea = 4.1 m, b= 1.2 m, and c= 1.2 m. What is the magnitude of load P that is necessary to displace point A 12 mm to the left? a (1) (3) A B (2) Answer: P = i kN
Determine (d) variable stress and (e) design factor
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1/2 Problem 1: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in. If the stress must not exceed 14OMPA in either rod, determine the smallest allowable value of the diameter of rod AB and ВС. 300mm B 40 kN 250mm - d2 30 kN

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