Two legs of the structure are fixed to a rigid support at A and attached to...
Two legs of the structure are fixed to a
rigid support at A and attached to a rigid plate at B. A third
member is attached to the rigid plate at C and is free at D. All
three members have the same diameter, D, length, L, and modulus of
elasticity, E. Determine the total deflection at D relative to A
given the following (assume there is no deflection in the rigid
plate): D = 90 mm L = 1.6 m F = 350 kN E = 110 GPa
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Two legs of the structure are fixed to a
rigid support at A and attached to...
A uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods....
A uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 17-mm-diameter stainless steel rods that have an elastic modulus of E = 199 GPa. Rod (3) is a 23-mm-diameter bronze rod that has an elastic modulus of E = 101 GPa. Use a = 1.5 m and L = 3.1 m. For a load magnitude of w = 36 kN/m, calculate (a) the normal stress in each rod. (b)...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC,...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
A load P is supported by a structure consisting of rigid bar BDF and three identical...
A load P is supported by a structure consisting of rigid bar BDF and three identical 17-mm-diameter steel [E199 GPa] rods, as shown in the figure. Use a 3.3 m, b2.0 m, and L 51 kN, determine 3.9 m. For a load of P (a) the tension force produced in each rod. (b) the downward vertical deflection of the rigid bar at B 2) (a) Fi KN KN kN (b) vg-
Consider a member with a rectangular cross section subjected to a compressive load P which is delivered through a rigid block on the upper end of the member as illustrated below. The upper end of the...
Consider a member with a rectangular cross section subjected to
a compressive load P which is delivered through a rigid block on
the upper end of the member as illustrated below. The upper end of
the member is free to rotate about both axis directions, but is
constrained from lateral deflection in one of the directions by the
rigid guide plates illustrated. The lower end is hinged and this
allows rotations about one axis direction only. Assume the member
is...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
Dimensions in mm 180- --120---100 100 Problem 1: Two cylindrical rods, one of steel (Ex =...
Dimensions in mm 180- --120---100 100 Problem 1: Two cylindrical rods, one of steel (Ex = 200 GPa) and the other of brass (Eb = 105 GPa), are joined at C and restrained by rigid supports at A and E. For the loading shown, determine: (a) the reactions at A and E, (b) the deflection of point C. cl DE Brass Steel B. 760 KN 40KN 40-mm diam. 30-mm diam. Problem 2: A 15-mm-diameter rod made of an experimental plastic...
2) The rigid bar CDE is attached to a pin support at E and rests on...
2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature...
Member (1) is a solid 50 mm diameter cylinder made from magnesium. The modulus of elasticity...
Member (1) is a solid 50 mm diameter cylinder made from magnesium. The modulus of elasticity is 44.7 GPa and the thermal coefficient of expansion is 26 x 106/°C. The cylinder is placed in a clamp when the temperature is 20℃ Two stainless steel carriage bolts (2) hold the cylinder snug with negligible force against the rigid jaws of the clamp. Each bolt has a diameter of 10 mm, modulus of elasticity of 193 GPa, and a coefficient of thermal...
2) The rigid bar CDE is attached to a pin support at E and rests on...
2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
A uniformly-distributed load wis supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 17-mm-diameter stainless steel rods that have an elastic modulus of E = 199 GPa. Rod (3) is a 23-mm-diameter bronze rod that has an elastic modulus of E = 101 GPa. Use a = 1.5 m and L = 3.1 m. For a load magnitude of w = 36 kN/m, calculate (a) the normal stress in each rod. (b)...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
A load P is supported by a structure consisting of rigid bar BDF and three identical 17-mm-diameter steel [E199 GPa] rods, as shown in the figure. Use a 3.3 m, b2.0 m, and L 51 kN, determine 3.9 m. For a load of P (a) the tension force produced in each rod. (b) the downward vertical deflection of the rigid bar at B 2) (a) Fi KN KN kN (b) vg-
Consider a member with a rectangular cross section subjected to
a compressive load P which is delivered through a rigid block on
the upper end of the member as illustrated below. The upper end of
the member is free to rotate about both axis directions, but is
constrained from lateral deflection in one of the directions by the
rigid guide plates illustrated. The lower end is hinged and this
allows rotations about one axis direction only. Assume the member
is...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
Dimensions in mm 180- --120---100 100 Problem 1: Two cylindrical rods, one of steel (Ex = 200 GPa) and the other of brass (Eb = 105 GPa), are joined at C and restrained by rigid supports at A and E. For the loading shown, determine: (a) the reactions at A and E, (b) the deflection of point C. cl DE Brass Steel B. 760 KN 40KN 40-mm diam. 30-mm diam. Problem 2: A 15-mm-diameter rod made of an experimental plastic...
2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature...
Member (1) is a solid 50 mm diameter cylinder made from magnesium. The modulus of elasticity is 44.7 GPa and the thermal coefficient of expansion is 26 x 106/°C. The cylinder is placed in a clamp when the temperature is 20℃ Two stainless steel carriage bolts (2) hold the cylinder snug with negligible force against the rigid jaws of the clamp. Each bolt has a diameter of 10 mm, modulus of elasticity of 193 GPa, and a coefficient of thermal...
2) The rigid bar CDE is attached to a pin support at E and rests on the 30-mm diameter brass cylinder BD. A 22-mm-diameter steel rod AC passes through a hole in the bar and is secured by a nut which is snugly fitted when the temperature of the entire assembly is 20°C. The temperature of the brass cylinder is then raised to 50°C while the steel rod remains at 20°C. Assuming that no stresses were present before the temperature...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
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