2. An aluminum rod shown has a circular cross-section and is subjected to an axial load shown. Determine the total elongation of the rod when the load is applied. Take E=70 GPa. 250 mm -300 mm- 30 KN 40 kN da-150 mm d, 200 mm

2. An aluminum rod shown has a circular cross-section and is subjected to an axial load shown. Determine the total elongation of the rod when the load is applied. Take E=70 GPa. 250 mm -300 mm- 30 KN 40 kN da-150 mm d, 200 mm

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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In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (SB) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m B 40 mm diameter 1.3 m C Aluminum Brass
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In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses OAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aa=23.9*10-6 1/°C, Eal=72GPA //// A 60 mm diameter 1.1 m B 40 mm diameter 1.3 m Aluminum Brass
A compound bar consists of a circular rod of steel of diameter 25 mm, rigidily fitted into a copper tube of internal diameter 25 mm and thickness 2.5 mm. If the bar is subjected to an axial load of 100 kN, find the stresses developed in the two materials. Given Es= 2 x 105 N/mm and Ec= 1.2 x 105 N/mm2
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 94 GPa] with a cross-sectional area of A₁ = 280 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 590 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1840 mm, a = 880 mm, b = 540 mm, c = 430 mm, and L₂ = 1340 mm. If a load of P = 87 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. h (1) L₁ b a BI Answers: C (2) D L2
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The rigid bar of negligible weight is supported as shown. The assembly is initially stress-free. Find the stress in each rod if the temperature rises by 20∘C after a load W = 110 kN is applied. Use the following properties in the table.
The following composite shaft is loaded as shown in the figure. The AC segment of the shaft is solid; it is connected to the hollow shaft CD with the help of a rigid flange at C. A torque of 100 Nm is applied at B, as shown. A uniformly distributed torque of 200 Nm/m is applied over the entire length of CD (2m), also shown in the figure. Please ignore the thickness of the rigid flange at C. Given: GAC = 140 GPa, diameter of AC = 20 mm. GCD = 200 GPa, inner diameter of AC = 40 mm, outer diameter of AC = 50 mm. a. Determine the absolute maximum shear stress on the shaft. Specify where it occurs along the length of the shaft and on the circumference of the shaft. Draw the state of stress on a volume element corresponding to the maximum absolute shear stress location. Show proper perspective when drawing the state of stress. b. Determine the absolute maximum shear strain on the shaft. Specify where it occurs along the length of the shaft and on the circumference of the shaft. Be careful…
Three aluminum rods support the rigid L-shaped bracket BCF as shown in the figure. Determine the stress in rod DE (express answer in MPa) if rod FG is cooled by 50°C. All three rods have the same cross-sectional area of 1000 mm^2. Use 73.1 GPa and 23 x 10^-6 /°C for the modulus of elasticity and the coefficient of thermal expansion of aluminum, respectively.
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