Mechanics Of Materials - Memphis
Mechanics of MaterialsCIVL 3322 / MECH 3322Torsion ProblemsHomeworkP 6.17 P 6.18 P 6.20 2Torsion Problems
For the material properties shown in Figure1, what is the Modulus of Elasticity of thematerial?260 GPa110 GPa800 GPa358 GPa3Torsion ProblemsFor the material properties shown in Figure1, what is the ultimate strength of thematerial?210 MPa290 MPa320 MPa380 MPa4Torsion Problems
For the material properties shown in Figure1, what is the yield strength of thematerial?210 MPa290 MPa320 MPa380 MPa5Torsion ProblemsFor the material properties shown in Figure1, what is the fracture stress of thematerial?210 MPa290 MPa320 MPa380 MPa6Torsion Problems
The rigid bar shown in Figure 2 is supported by the pin at A and the rod from Bto D (1). The rod (1) has a cross sectional area of 500 mm2, an elastic modulusof E 80 GPa, and a coefficient of thermal expansion ofa 22x10-6/C. Initially the bar ABC is in a horizontal position, then thetemperature of the rod (1) is reduced by 40 C. What is the deflection of point Cafter the temperature is reduced if the load P is equal to 0?7Torsion ProblemsWhen rod (1) is cooled, pointB will1.2.3.4.8Move UpMove DownNot MoveDon’t KnowTorsion Problems
The magnitude of thedeflection of point C will bethan the magnitude ofthe deflection of point Bwhen Rod (1) is cooled.1.2.3.4.Equal toLess thanGreater thanDon’t Know9Torsion ProblemsThe rigid bar shown in Figure 2 is supported by the pin at A and the rod from Bto D (1). The rod (1) has a cross sectional area of 500 mm2, an elastic modulusof E 80 GPa, and a coefficient of thermal expansion ofa 22x10-6/C. Initially the bar ABC is in a horizontal position, then thetemperature of the rod (1) is reduced by 40 C. What is the deflection of point Cafter the temperature is reduced if the load P is equal to 0? 3δ B )( LAC ) ( 3.3 10 m ) ( 3.0m )(δC 5.66mmLAB101.75mTorsion Problems
The rigid bar shown in Figure 2 is supported by the pin at A and the rod from Bto D (1). The rod (1) has a cross sectional area of 500 mm2, an elastic modulusof E 80 GPa, and a coefficient of thermal expansion ofa 22x10-6/C. Initially the bar ABC is in a horizontal position, then thetemperature of the rod (1) is reduced by 40 C. What magnitude would P have tobe to return the rod to a horizontal orientation after the temperature is reduced?11Torsion ProblemsTo solve for P, you wouldmost likely1.2.3.4.12Sum forces in the y-directionSum forces in the x-directionSum moments about ADon’t KnowTorsion Problems
To find the force in rod (1)directly, you would most use1.2.3.4.The deflection at CThe deflection at AThe deflection at BDon’t Know13Torsion ProblemsThe rigid bar shown in Figure 2 is supported by the pin at A and the rod from Bto D (1). The rod (1) has a cross sectional area of 500 mm2, an elastic modulusof E 80 GPa, and a coefficient of thermal expansion ofa 22x10-6/C. Initially the bar ABC is in a horizontal position, then thetemperature of the rod (1) is reduced by 40 C. What magnitude would P have tobe to return the rod to a horizontal orientation after the temperature is reduced?P 14 ( F1 )( LAB ) ( 35.2kN )(1.75m ) 20.53kN( 3.0m )( LAC )Torsion Problems
Two cylindrical rods, one of steel and the other of brass, are joined at C andrestrained by rigid supports at A and E. ESTEEL 200 GPa and EBRASS 105GPa.What is the magnitude of the support reaction at point A?15Torsion ProblemsTwo cylindrical rods, one of steel and the other of brass, are joined at C andrestrained by rigid supports at A and E. ESTEEL 200 GPa and EBRASS 105GPa.What is the magnitude of the support reaction at pointE?RE 60kN 40kN RA 60kN 40kN 62.81kN 37.19kN16Torsion Problems
Two cylindrical rods, one of steel and the other of brass, are joined at C andrestrained by rigid supports at A and E. ESTEEL 200 GPa and EBRASS 105GPa.What is the deflection of point C?17Torsion ProblemsTwo cylindrical rods, one of steel and the other of brass, are joined at C andrestrained by rigid supports at A and E. ESTEEL 200 GPa and EBRASS 105GPa.What is the stress in the Steel rod in the sectionbetween points A and B?σ AB 18FAB62.81kN 49.98MPa2ASteel 1257mmTorsion Problems
Two cylindrical rods, one of steel and the other of brass, are joined at C andrestrained by rigid supports at A and E. ESTEEL 200 GPa and EBRASS 105GPa.What is the stress in the Brass rod in the sectionbetween points D and E?σ DE 19FDE37.19kN 52.62MPa2ABrass706.86mmTorsion ProblemsThe rigid bar AD is supported by two steel wires of 1/16 -in. diameter (E 29x106 psi) and a pin at D. The bar is horizontal before the load P is applied.The load P has a magnitude of 120-lb. After P is appliedWhat is the tension in the wire from A to E?20Torsion Problems
The relationship between thedeflections at A and C is1.2.3.4.!EA !FC!EA !FC!EA !FCDon’t Know21Torsion ProblemsThe relationship between thedeflections at A and C is1.2.3.4.22!EA !FC!EA !FC!EA !FCDon’t KnowTorsion Problems
The rigid bar AD is supported by two steel wires of 1/16 -in. diameter (E 29x106 psi) and a pin at D. The bar is horizontal before the load P is applied.The load P has a magnitude of 120-lb. After P is appliedWhat is the tension in the wire from A to E?5FCF FAE8(16in )(120lb ) ( 24in )( FAE ) (8in ) 5 FAE 8 FAE 66.21lb23Torsion ProblemsThe rigid bar AD is supported by two steel wires of 1/16 -in. diameter (E 29x106 psi) and a pin at D. The bar is horizontal before the load P is applied.The load P has a magnitude of 120-lb. After P is appliedWhat is the tension in the wire from C to F?FAE 66.21lbFCF 2455FAE 66.21lb 41.38lb88Torsion Problems
The rigid bar AD is supported by two steel wires of 1/16 -in. diameter (E 29x106 psi) and a pin at D. The bar is horizontal before the load P is applied.The load P has a magnitude of 120-lb. After P is appliedWhat is the strain in the wire from A to E?δ AE ε AE ( 66.21lb )(15in )FAE LAE 0.11inAE(3.07 10 3 in2 )( 29 106 psi )δ AELAE25 0.11in 0.0067in / in15inTorsion ProblemsThe rigid bar AD is supported by two steel wires of 1/16 -in. diameter (E 29x106 psi) and a pin at D. The bar is horizontal before the load P is applied.The load P has a magnitude of 120-lb. After P is appliedWhat is the deflection of point B from the original unloaded horizontal position?δ B δ AE26(16in ) 0.073inBD ( 0.11in )AD( 24in )Torsion Problems
Problem 6.427Torsion ProblemsProblem 6.1228Torsion Problems
Problem 6.1629Torsion Problems
STEEL 200 GPa and E BRASS 105 GPa. What is the deflection of point C? 18 Torsion Problems Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. E STEEL 200 GPa and E BRASS 105 GPa. What is the stress in the Steel rod in the section between points A and B? 2 62.81 49.98 .
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Mechanics and Mechanics of deformable solids. The mechanics of deformable solids which is branch of applied mechanics is known by several names i.e. strength of materials, mechanics of materials etc. Mechanics of rigid bodies: The mechanics of rigid bodies is primarily concerned with the static and dynamic
2. Intermediate Mechanics of Materials (2001) J.R BARBER 4(12) 3. Mechanics of Materials (2002) Madhukar Vable 9(11) 4. Mechanics of Materials (Fifth Edition) Ferdinand P. Be er, E. Russell Johnston, Jr. 7(11) 5. Mechanics of Materials (Seventh Edition) R.C.Hibbeler 9(14) 6. Mechanics of Mat
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Mechanics of deformable solids. The mechanics of deformable solids which is branch of applied mechanics is known by several names i.e. strength of materials, mechanics of materials etc. Mechanics of rigid bodies: The mechanics of rigid bodies is prima
