As shown in the figure, a nigid beam with negligible mass is pinned at one end and supported by two rods. The beam was initially horizontal before the load P was applied.. Steel A=600 mm E=200 GPa L=4 m Aluminum A=900 mm? E=70 GPa L=3 m 3m 2m Im P=120 kN @ Compute the elongation of steel if P = 120 kN. Compute the elongation of aluminum if P = 120 kN. O Find the vertical movement of Pif P= 120 kN.

As shown in the figure, a nigid beam with negligible mass is pinned at one end and supported by two rods. The beam was initially horizontal before the load P was applied.. Steel A=600 mm E=200 GPa L=4 m Aluminum A=900 mm? E=70 GPa L=3 m 3m 2m Im P=120 kN @ Compute the elongation of steel if P = 120 kN. Compute the elongation of aluminum if P = 120 kN. O Find the vertical movement of Pif P= 120 kN.

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

See similar textbooks

Similar questions

The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
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
One of the following values is a possible for possion ratio for steel ? a. Zero b. one c. 0.3 d 0.9
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
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 = 95 GPa] with a cross-sectional area of A1 = 260 mm2. Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 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 = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L2 = 1380 mm. If a load of P = 100 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.
The rigid bar 2 m long is supported by a steel rod at the middle B and bronze rods equidistant from both ends at A and C as shown. The properties of the rods are given in the tabulation below. Steel Bronze Allowable stress 140 MPa 120 MPa Modulus of Elasticity, E 200 GPa 83 GPa Area, A 400 mm2 900 mm2 Length, L 1,000 mm What is the required length of the steel rod so the reactions on the three rods are the same? What is the required length of the steel rod so that both the steel and the bronze rods reach their allowable stresses at the same time? What is the maximum permissible load W that the rods can carry?
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 Bronze: A 1200 mm E83 GPa Lw2.0m What is the value of P Steel: A 900 mm E 200 GPa L=1.5m
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
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 = 91 GPa] with a cross-sectional area of A1 = 230 mm2. Bar (2) is an aluminum alloy [E = 70 GPa] with a cross-sectional area of A2 = 730 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 1660 mm, a = 950 mm, b = 550 mm, c = 410 mm, and L2 = 1230 mm. If a load of P = 176 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.
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: a,=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 В 40 mm diameter 1.3 m C Aluminum Brass
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 = 97 GPa] with a cross-sectional area of A₁ = 220 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 550 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 = 1620 mm, a = 1120 mm, b = 680 mm, c = 500 mm, and L₂ = 1200 mm. If a load of P = 112 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. 4 (1) L a A b (2) D L2
3. The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod? 2 m -- -1.5 m- 1.5 m 10 Steel A=900 mm2 E=200 GPa L=15 m Bronze A=300 mm2 E= 83 GPa L3D2 m