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Problem 3i (15+5 = 20 Points) 3a. The member D-C is rigid (it does not bend)...
Problem 2) System of Statically INDETERMINATE Axially Loaded Members (32 points) A load of 20kN is applied to the r...
Problem 2) System of Statically INDETERMINATE Axially Loaded Members (32 points) A load of 20kN is applied to the rigid bar ABC at point C. At point A, the bar is pinned to the wall and will rotate freely. The rigid bar is supported by two bars made of steel (E- 200GPa). Both bars have cross-sectional area of 100 mm2 and length of 1000 mm. Length of section AB is 1000 mm, and length of section BC 2000 mm. Find...
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...
To solve for forces in statically indeterminate bars with axial loads.
To solve for forces in statically indeterminate bars with axial loads.When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (i.e.) continuity of displacements and relationships between displacements and loads).For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the...
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end. The bars can carry either tension or compressive forces. The rigid beam carries a UDL of I kN/m across BC and a point load of P at D as shown in the figure above. The length of the two bars is 3000 mm. The elastic modulus of both bars is 200 GPa and the...
Question 35 300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For...
Question 35
300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For the composite block shown in Prob. 2.33, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass is 80 MPa Fig. P2.35 2.35 The 4.5-ft concrete post is reinforced with six steel bars, each with...
Problem #6 (30 points): Two solid cylindrical rods are joined at point B Rod AB is...
Problem #6 (30 points): Two solid cylindrical rods are joined at point B Rod AB is made of steel (E, 30 x 10s psi), with a length of 40 in and a diameter of 2 in. Rod BC is made of alumin loaded with axial forces at two points, as shown below. The total elongation of ABC is limited to 0.05 in, and the normal stresses in AB and BC should not exceed 35 ksi and 10 ksi, respectively. You...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
How do I solve this? Problem 2(50 points) The roof of the Edwin A. Stevens building...
How
do I solve this?
Problem 2(50 points) The roof of the Edwin A. Stevens building is to be redesigned to accommodate a billboard for Stevens Institute of Technology. The new billboard will weigh 40 kips and be supported equally by two columns located 9 ft from the rear of the building. The beams supporting the new roof will be simply supported as shown. (Note there is a 5 ft overhang at the front of the building). For the grade...
Problem 2) System of Statically INDETERMINATE Axially Loaded Members (32 points) A load of 20kN is applied to the rigid bar ABC at point C. At point A, the bar is pinned to the wall and will rotate freely. The rigid bar is supported by two bars made of steel (E- 200GPa). Both bars have cross-sectional area of 100 mm2 and length of 1000 mm. Length of section AB is 1000 mm, and length of section BC 2000 mm. Find...
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...
Question 35
300 mm 18 in 4.5 ft 60 mm 40 mm Fig. P2.33 2.34 For the composite block shown in Prob. 2.33, determine (a) the value of h if the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (b) the total load if the stress in the brass is 80 MPa Fig. P2.35 2.35 The 4.5-ft concrete post is reinforced with six steel bars, each with...
Problem #6 (30 points): Two solid cylindrical rods are joined at point B Rod AB is made of steel (E, 30 x 10s psi), with a length of 40 in and a diameter of 2 in. Rod BC is made of alumin loaded with axial forces at two points, as shown below. The total elongation of ABC is limited to 0.05 in, and the normal stresses in AB and BC should not exceed 35 ksi and 10 ksi, respectively. You...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
How
do I solve this?
Problem 2(50 points) The roof of the Edwin A. Stevens building is to be redesigned to accommodate a billboard for Stevens Institute of Technology. The new billboard will weigh 40 kips and be supported equally by two columns located 9 ft from the rear of the building. The beams supporting the new roof will be simply supported as shown. (Note there is a 5 ft overhang at the front of the building). For the grade...
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