Figure Q2 shows a straight rod of circular cross section, of diameter 20 mm, length 0.8 m and made out of copper. The rod is rigidly supported at one end while the other end is free to be displaced a distance of 0.5 mm. Take the elastic modulus of copper E = 117 GPa. The drawing is not at scale. a) If the coefficient of thermal expansion of copper is 17x106 °C1 find the temperature change AT which causes the end B of the rod to touch the wall. b) What is the reaction force at end B if the temperature increases with 2AT? c) What is the temperature increase which causes the rod to buckle elastic? Assume pin joint conditions at end B. d) If the rod was rigidly supporter at both ends, what is the temperature raise needed

Figure Q2 shows a straight rod of circular cross section, of diameter 20 mm, length 0.8 m and made out of copper. The rod is rigidly supported at one end while the other end is free to be displaced a distance of 0.5 mm. Take the elastic modulus of copper E = 117 GPa. The drawing is not at scale. a) If the coefficient of thermal expansion of copper is 17x106 °C1 find the temperature change AT which causes the end B of the rod to touch the wall. b) What is the reaction force at end B if the temperature increases with 2AT? c) What is the temperature increase which causes the rod to buckle elastic? Assume pin joint conditions at end B. d) If the rod was rigidly supporter at both ends, what is the temperature raise needed

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

A two pinned end bars AB (copper) and BC (aluminum) is subjected to a horizontal force P = 90KN applied at pin B %3D as shown in the figure, determine the horizontal displacement of pin B. Aluminum: L= 1.5m, A= 1000mm2, E= 70 GPa Copper: L= 2.0m, A= 850mm², E= 120 GPa Degree: 45° Alumaum L-15m A=1000 mm E-70 GPa >P=90 kN Copper L=2.0m Aa550 mm E=120 GPa
3) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5m
2. A rod is composed of an aluminum section rigidly attached between steel and bronze sections as shown in the figure. Axial loads are applied at the positions indicated. The cross-sectional area of the rod is 300sq.mm. Express your answer in MPa. Determine the stress in the steel. b. a. Determine the stress in the aluminum. Determine the stress in the bronze. C. STEEL ALUMINUM BRONZE 56kN 14kN -0.6m- -0.9m- -0.76m-
The figure as shown below is a rigid bar which is supported by two rods and a pin support. If the said connections is stress- free, determine the increase or decrease of the temperature in degrees Celsius that will resulted with a tensile stress of EN mPa for the brass rod. Brass L = 2 m A = 1200 mm² E = 100 GPa a = 18.7 x 10-/°C FN=70 B - 3 m - MN=76 2 m Copper L=3 m A = 1500 mm² E = 120 GPa a = 16.8 x 10-/°C SN=50 Note: Neglect the weight of the bar and assumes that the two rods will subjected to same temperature change
SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b I Steel: A 900 mm Bronze: A E 200 GPa E 83 GPa L-2.0m L=1.5m What is the value of P without exceeding the allowable stress of steel, in KN? 230 250 280 340 1200 mm
SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. b C NANTSELEINE Steel: A = 900 mm² E = 200 GPa L=1.5m Bronze: A=1200 mm² E=83 GPa L=2.0m What is the ratio of the elongation of steel to bronze? O 0.367 O 0.433 O 0.467 0.333
3. A steel bolt through a 25-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 79 degrees Fahrenheit. The cross-sectional area of the bolt is 0.08 sq. inch and the cross-sectional area of the tube of 0.25 sq. inch. For steel: E = 30 x 10^6 psi, coefficient of thermal expansion = 6.5 x 10^-6 per degree Fahrenheit. For aluminum: E = 10 x 10^6 psi, coefficient of thermal expansion = 13.0 x 10^-6 per degree Fahrenheit. Find the thermal deformation (in inches) of the steel bolt. (Write your answer to 6-decimal places. ) * Your answer This is a required question Find the thermal deformation (in inches) of the aluminum tube. (Write your answer to 6-decimal places.) * Your answer This is a required question Find the stress (in psi) induced in the steel bolt by the temperature change. * Your answer
X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.
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
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
Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.58 in. and an elastic modulus of 2430 ksi. Bar (2) has a cross-sectional area of 0.714 in and an elastic modulus of 4110 ksi. Assume Ly-18 in., Lz-47in, Q=6,4 kips, P-3.2 kips, and R-128 kips. Determine the horizontal deflection of end Crelative to end A. (1) Answer: uCA in.
A circular steel rod AB (diameter d1=15 mm, length L1=1100 mm) has a bronze sleeve (outer diameter d2 21 mm, length L2=800 mm) shrunk onto it so that the two parts are securely bonded (see figure). Calculate the total elongation δ (mm) of the steel bar due to a temperature rise ΔT=200oC. (Material properties are as follows: for steel, Es=210 GPa and αs=12x10-6/C; for bronze, Eb=110 GPa and αb=20x10-6/C.)