A tie rod (1) and a pipe strut (2) are used to support a 50-kN load, as shown. The cross-sectional areas are A1 =650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus of E=200 GPa.
a) Determine the axial normal stresses in tie rod (1) and pipe strut (2).
b) Determine the elongation or contraction of each member.
c) Sketch a deformation diagram that shows the displaced position of joint B.
d) Compute the horizontal and
vertical displacements of joint B.
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A tie rod (1) and a pipe strut (2) are used to support a 50-kN
load,...
A tie rod (1) and a pipe strut (2) are used to support a 50-kN load,...
A tie rod (1) and a pipe strut (2) are used to support a 50-kN load, as shown. The cross-sectional areas are A, =650 mm? for tie rod (1) and A_2 = 925 mm? for pipe strut (2). Both members are made of structural steel that has an elastic modulus of E = 200 GPa. (a) Determine the axial normal stresses in tie rod (1) and pipe strut (2). (b) Determine the elongation or contraction of each member. (c) Sketch...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut (2) are used to support a 50 kN load, as shown. The cross-sectional areas are A1 = 650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus E 200 GPa. (a) Determine the normal stresses in tie rod (1) and pipe strut (2)·(b) Determine the elongation or...
The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa....
The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa. There are two members with cross-sectional areas of A1 125 mm2 and A2 75 mm2 a) Draw and label the axial force diagram for the system with the sign convention discussed in class b) Calculate the axial deformation of Members (1) and (2) in mm and state whether they are elongating or shortening. c) Evaluate the movement at point A, vA (in mm). Be...
SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the m...
SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the members and the members 1, d 3 have their cross sectional areas as 4000 mm2, 4000 mm2 and 6000 mm2 The truss shown in Figure Assuming that E is constant respectively, use the matrix stiffness method to determine the following Number of degrees of freedom. a. (15) b. Structure stiffness matrıx. (10) c Member...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the...
The A992 steel rod is
subjected to the loading shown. If the cross-sectional area of the
rod is 100 mm2. Neglect the size of the couplings at B and C. The
elastic modulus and yield stress of A992 steel is 200 GPa and 345
MPa respectively. Determine the displacement of B and A with
respect to point D. (Preserve 2 significant digits after the
decimal point.)
QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
M5.5 Rod and post in series scenes Rod properties A- 340 mm2 E1 80 GPa A2-520...
M5.5 Rod and post in series scenes Rod properties A- 340 mm2 E1 80 GPa A2-520 mm2 E2 160 GPa 65 kN F1 (kN 2000 mm 2800 mm A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached to rigid supports at A and C, respectively. kN ?i (MPa A concentrated load P is applied to flange B in the direction shown. Determine the internal forces and normal stresses in each rod....
roblem 1: The built-up shaft consists of a pipe AB and solid rod BC. Pipe AB...
roblem 1: The built-up shaft consists of a pipe AB and solid rod BC. Pipe AB has an inner diameter of 20 mm and outer diameter of 28 mm. The length of AB is 200 mm. Rod BC has a diameter of 12 mm and a length of 180 mm. (a) Determine the average normal stress at points D and E (b) If the modulus of elasticity of pipe AB is EAB-200 GPa, Poisson's ratio of rod BC is VBc...
Please show work :D M5.13 Rod and post with temperature change scenes 190 mm2 AT = 25°C 120 GPa = 15.7 x10-/C 40 kN (1)...
Please show work :D
M5.13 Rod and post with temperature change scenes 190 mm2 AT = 25°C 120 GPa = 15.7 x10-/C 40 kN (1) 290 mm2 (2) 200 GPa A B 17.7 x10-/C 2700 mm 1900 mm F (kN) A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached to rigid supports at A and C, respectively. A concentrated load P is applied to flange B in the direction shown. F2...
the axial load ? ldtlcs & Strength Material r is supported by the pin-connected rod CB that has a cross-sectional 1. The rigid ba area of 16 mm2 and is made from 6061-T6 aluminum. Determine th...
the axial load ?
ldtlcs & Strength Material r is supported by the pin-connected rod CB that has a cross-sectional 1. The rigid ba area of 16 mm2 and is made from 6061-T6 aluminum. Determine the ax the rod CB and elongation rod CB. (E 68.9 GPa, v 0.35) ial stress at 300 N m 1.5 m 0)
ldtlcs & Strength Material r is supported by the pin-connected rod CB that has a cross-sectional 1. The rigid ba area of...
A tie rod (1) and a pipe strut (2) are used to support a 50-kN load, as shown. The cross-sectional areas are A, =650 mm? for tie rod (1) and A_2 = 925 mm? for pipe strut (2). Both members are made of structural steel that has an elastic modulus of E = 200 GPa. (a) Determine the axial normal stresses in tie rod (1) and pipe strut (2). (b) Determine the elongation or contraction of each member. (c) Sketch...
Problem 4 Statically Indeterminate Axially Loaded Members (25pts) A tie rod (1) and a pipe strut (2) are used to support a 50 kN load, as shown. The cross-sectional areas are A1 = 650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus E 200 GPa. (a) Determine the normal stresses in tie rod (1) and pipe strut (2)·(b) Determine the elongation or...
The assembly shown below is made of aluminum, which has an elastic modulus of 70 GPa. There are two members with cross-sectional areas of A1 125 mm2 and A2 75 mm2 a) Draw and label the axial force diagram for the system with the sign convention discussed in class b) Calculate the axial deformation of Members (1) and (2) in mm and state whether they are elongating or shortening. c) Evaluate the movement at point A, vA (in mm). Be...
SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the members and the members 1, d 3 have their cross sectional areas as 4000 mm2, 4000 mm2 and 6000 mm2 The truss shown in Figure Assuming that E is constant respectively, use the matrix stiffness method to determine the following Number of degrees of freedom. a. (15) b. Structure stiffness matrıx. (10) c Member...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
The A992 steel rod is
subjected to the loading shown. If the cross-sectional area of the
rod is 100 mm2. Neglect the size of the couplings at B and C. The
elastic modulus and yield stress of A992 steel is 200 GPa and 345
MPa respectively. Determine the displacement of B and A with
respect to point D. (Preserve 2 significant digits after the
decimal point.)
QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
M5.5 Rod and post in series scenes Rod properties A- 340 mm2 E1 80 GPa A2-520 mm2 E2 160 GPa 65 kN F1 (kN 2000 mm 2800 mm A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached to rigid supports at A and C, respectively. kN ?i (MPa A concentrated load P is applied to flange B in the direction shown. Determine the internal forces and normal stresses in each rod....
roblem 1: The built-up shaft consists of a pipe AB and solid rod BC. Pipe AB has an inner diameter of 20 mm and outer diameter of 28 mm. The length of AB is 200 mm. Rod BC has a diameter of 12 mm and a length of 180 mm. (a) Determine the average normal stress at points D and E (b) If the modulus of elasticity of pipe AB is EAB-200 GPa, Poisson's ratio of rod BC is VBc...
Please show work :D
M5.13 Rod and post with temperature change scenes 190 mm2 AT = 25°C 120 GPa = 15.7 x10-/C 40 kN (1) 290 mm2 (2) 200 GPa A B 17.7 x10-/C 2700 mm 1900 mm F (kN) A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached to rigid supports at A and C, respectively. A concentrated load P is applied to flange B in the direction shown. F2...
the axial load ?
ldtlcs & Strength Material r is supported by the pin-connected rod CB that has a cross-sectional 1. The rigid ba area of 16 mm2 and is made from 6061-T6 aluminum. Determine the ax the rod CB and elongation rod CB. (E 68.9 GPa, v 0.35) ial stress at 300 N m 1.5 m 0)
ldtlcs & Strength Material r is supported by the pin-connected rod CB that has a cross-sectional 1. The rigid ba area of...
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