Homework Answers
NOTE: Set the calculator to radians before calculating the trigonometric functions.
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Length;
Moment of inertia of the rod;
Critical buckling load is;
Deflection is given as;
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An axial load P is applied to the 1.35-in.-diameter steel rod AB as shown. For P-S.7...
Do not round intermediate calculations. Give your final answer(s) to three significant figures Th...
Please show all steps! Thank you!!
Do not round intermediate calculations. Give your final answer(s) to three significant figures The line of action of the 85-kip axial load is parallel to the geometric axis of the column AB and intersects the x axis at x = 0.4 in. Using E 29 x 100 psi, determine (a) the h deflection of the midpoint of the column, (b) the maximum stress in the column 0.4 in.85 kips 22 ft W8 × 35...
The rigid bar ABC is hinged at A and supported by steel rod at B. If...
The rigid bar ABC is hinged at A and supported by steel rod at B. If P = 5 kips is acting at C, determine the deflection at C. Steel = 4 ft A = 0.50 in E = 29 x 10 psi
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 concentrated load of P = 62 kips is applied to beam AB, as shown in...
A concentrated load of P = 62 kips is applied to beam AB, as shown in the figure. Rod (1) has a diameter of 1.7 in., and its yield strength is 31 ksi. Pin A is supported in a double shear connection, and the ultimate shear strength of pin A is 77 ksi. Assume a=4.6 ft, b=7.1 ft, C=8.3 ft, d=11 in. (a) Determine the normal stress in rod (1). (b) Determine the factor of safety with respect to the...
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the...
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.00 in, the diameter of brass rod (2) is 1.5 in, and the diameter of steel rod (3) is 3.00 in. Draw the axial load diagram along the structure and determine the normal stress in each of the three rods. 3- k4lips 15k-1 20 kips Skip 2o kips
The 1.25" diameter steel rod is subjected to the load shown. Determine the state of stress...
The 1.25" diameter steel rod is subjected to the load shown. Determine the state of stress at point D (located at the top of the rod and on the z-axis), determine the associated strains. Let F = 12 lb and 0 = 45°. The force F is acting in a plane parallel to the x-y plane. Shear modulus of elasticity: G = 11.2 x 106 psi Young's modulus: E = 29.0 x 106 psi 1.25 in 3 in.
Problem #3 (25 points) indetermineda The assembly consists of two steel rods AB and CD, and...
Problem #3 (25 points) indetermineda The assembly consists of two steel rods AB and CD, and a rigid beam AC. The cross sectional area of each rod is 2 in². If a uniform load w = 20 kip/ft is applied to the beam as shown, determine the elongation of the rods AB and DC and the angle of tilt of the beam. Use E = 29 x 10 psi for the steel. ES T349 13 F w 2 Ft 25
The rod shown below is composed of two pieces: the diameter of piece AC is 3...
The rod shown below is composed of two pieces: the diameter of piece AC is 3 in, and the diameter of piece CD is 2 in. Both pieces are made of brass: Young's modulus is E = 15x10 psi and the shear modulus is G = 5.6x10 psi. The applied external axial forces are Pc = 50 kips and Po = 30 kips. The applied extemal torques are Tg = 25 kip in and To= 10 kip in. (Hint: for...
A hollow steel [E-30,000 ksi] tube (1) with an outside diameter of 3.25 in, and a...
A hollow steel [E-30,000 ksi] tube (1) with an outside diameter of 3.25 in, and a wall thickness of 0.209 in, is fastened to a solid 2.25-in.-diameter aluminum (E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P-19 kips, Q-8 kips, L,-5 ft, L2-7ft, and L-7 ft. Determine (a) the stresses in all parts of the axial structure. (b) the deflections of joints B and...
Beam AB is supported as shown in the figure. Tie rod (1) is attached at B...
Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 52 ksi, and tie rod (1) has a yield strength of 30 ksi. A concentrated load of P 26 kips the beam as shown. A factor safety of 2.5 required for...
Please show all steps! Thank you!!
Do not round intermediate calculations. Give your final answer(s) to three significant figures The line of action of the 85-kip axial load is parallel to the geometric axis of the column AB and intersects the x axis at x = 0.4 in. Using E 29 x 100 psi, determine (a) the h deflection of the midpoint of the column, (b) the maximum stress in the column 0.4 in.85 kips 22 ft W8 × 35...
The rigid bar ABC is hinged at A and supported by steel rod at B. If P = 5 kips is acting at C, determine the deflection at C. Steel = 4 ft A = 0.50 in E = 29 x 10 psi
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 concentrated load of P = 62 kips is applied to beam AB, as shown in the figure. Rod (1) has a diameter of 1.7 in., and its yield strength is 31 ksi. Pin A is supported in a double shear connection, and the ultimate shear strength of pin A is 77 ksi. Assume a=4.6 ft, b=7.1 ft, C=8.3 ft, d=11 in. (a) Determine the normal stress in rod (1). (b) Determine the factor of safety with respect to the...
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.00 in, the diameter of brass rod (2) is 1.5 in, and the diameter of steel rod (3) is 3.00 in. Draw the axial load diagram along the structure and determine the normal stress in each of the three rods. 3- k4lips 15k-1 20 kips Skip 2o kips
The 1.25" diameter steel rod is subjected to the load shown. Determine the state of stress at point D (located at the top of the rod and on the z-axis), determine the associated strains. Let F = 12 lb and 0 = 45°. The force F is acting in a plane parallel to the x-y plane. Shear modulus of elasticity: G = 11.2 x 106 psi Young's modulus: E = 29.0 x 106 psi 1.25 in 3 in.
Problem #3 (25 points) indetermineda The assembly consists of two steel rods AB and CD, and a rigid beam AC. The cross sectional area of each rod is 2 in². If a uniform load w = 20 kip/ft is applied to the beam as shown, determine the elongation of the rods AB and DC and the angle of tilt of the beam. Use E = 29 x 10 psi for the steel. ES T349 13 F w 2 Ft 25
The rod shown below is composed of two pieces: the diameter of piece AC is 3 in, and the diameter of piece CD is 2 in. Both pieces are made of brass: Young's modulus is E = 15x10 psi and the shear modulus is G = 5.6x10 psi. The applied external axial forces are Pc = 50 kips and Po = 30 kips. The applied extemal torques are Tg = 25 kip in and To= 10 kip in. (Hint: for...
A hollow steel [E-30,000 ksi] tube (1) with an outside diameter of 3.25 in, and a wall thickness of 0.209 in, is fastened to a solid 2.25-in.-diameter aluminum (E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P-19 kips, Q-8 kips, L,-5 ft, L2-7ft, and L-7 ft. Determine (a) the stresses in all parts of the axial structure. (b) the deflections of joints B and...
Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 52 ksi, and tie rod (1) has a yield strength of 30 ksi. A concentrated load of P 26 kips the beam as shown. A factor safety of 2.5 required for...
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