A member formed by connecting a steel bar to an aluminum bar as shown in Fig. Assuming that the bars are prevented from buckling sideways, calculate the magnitude of force P that will cause the total length of member decrease (0.25 mm). The values of elastic modulus for steel and aluminum are (2.1 x 10 N/mm') and (7 x 10' N/mm') respectively. 5 am x 5 cm Steel bar 30 cm 10 am x 10 cm Aluminium bar 38 cm

A member formed by connecting a steel bar to an aluminum bar as shown in Fig. Assuming that the bars are prevented from buckling sideways, calculate the magnitude of force P that will cause the total length of member decrease (0.25 mm). The values of elastic modulus for steel and aluminum are (2.1 x 10 N/mm') and (7 x 10' N/mm') respectively. 5 am x 5 cm Steel bar 30 cm 10 am x 10 cm Aluminium bar 38 cm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

L=2.75
The overhead beam in the figure has the composite section given below. The bending moment vector acts at an angle of 0-60 degrees with the horizontal z-axis of the beam section as shown in the figure. Determine the stress at point K of the beam section for the maximum bending moment under the forces acting on the beam. Note: The numerical values of the relevant parameters are given in the attached table for each student. K Z< M 0 40mm 395 mm B2 40mm B1 240 mm + 45 mm H 180 mm 45 mm 32 KN -1.6 m B 2.4 m с 36 kN/m 6.4 m D
A cylindrical bar of steel 9.9 mm (0.3898 in.) in diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that will produce an elastic reduction of 3.0×10-3 mm (1.181 ×10-4 in.) in the diameter. For steel, values for the elastic modulus (E) and Poisson's ratio (v) are, respectively, 207 GPa and 0.30. i N
A two-storey apartment building designed by Engr. Sang Woo has a brace system of main structural member shown in the figure. Considering that the bars are stressed - free the time it was assembled at 25°C. Determine the normal stresses in MPA of rods given that: Bronze (1) Aluminum (2) E= 100 GPa E= 70 GPa a = 16.8 x10 6 / °C Ø = 21mm a = 22.8 x10 6/°C Ø = 15 mm Note: After assembly it has been observed that the bronze rod 350 mm 250 mm (1) temperature remains the same while aluminum rod decreased by 42°C. Round off your answers to nearest whole number 200 mm (2) 500 mm
A steel specimen of 12 mm diameter extends by 6.31 x 10-2 mm over a gauge length of 150 mm when subjected to an axial load of 10 kN. The same specimen undergoes a twist of 0.5° an a length of 150 mm over a twisting moment of 10 N-m. Using the above data, determine the elastic constants E, Mu, G and K.
A round steel alloy bar with a diameter of 19mm and a gauge length of 76mm was subjected to tension, with the results shown in Table. Using a computer spreadsheet program, plot the stress–strain relationship. From the graph, determine the Young’s modulus of the steel alloy and the deformation corresponding to a 37kN load.
A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented from buckling sideways, calculate the magnitude force "P" that will cause the total length of the member to decrease 0.72 mm the values of elastic modulus for steel is 223 MPa. Take H1 = 7 cm, H2 = 10 cm, top bar (R) is 2 x 2 cm and bottom bar (Q) is 6 x 6 cm. Also, determine the stress-induced in each section of the bar. i) Magnitude Force, P = ii) Stress-induced in the top bar = iii) Stress-induced in the bottom bar =
Building material H.W1
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. The cross-sectional area of the bronze, aluminum, and steel are 448 mm2, 622 mm2 , and 265 mm2 respectively.Determine the change in length (in mm) of the bar if P = 27199 N.The moduli of elasticity are 81.82 GPa for bronze ,73.92 GPafor aluminum , and 204.55 GPa for steel .
Determine the following for the bar. A) B) C) D) σ, ksi 100 ksi 80 ksi T, ksi 40 ksi What is the Modulus of Elasticity for the material of the bar. What tensile force will cause the bar to yield? What will be the length of the bar after a 540 kip force is applied? What will be the cross sectional dimensions after a 300 kip force is applied? 0.0025 0.0035 0.0095 0.0100 0.0130 0.0145 Y, radians ɛ, in/in 20 in 3 in Cross Section 2 in
The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The cross-sectional area of the steel, bronze, and aluminum are 0.75 in2, 1.08 in2, and 0.56 in2 respectively.Determine the change in length (in inches) of the bar if P = 11599 lb.The moduli of elasticity are 30022 ksi for steel ,12071 ksifor bronze, and 10028 ksi for aluminum. Round off the final answer to four decimal places.