given: - initial length of steel tube= 200mm - aluminum rod is 0.175 mm shorter than steel tube. - l=0.175 mm properties of materials     - ALUMINUM:              coefficient of linear expansion: 23x10-6 /C              modulus of elasticitty= 70 GPa     - STEEL             Coeficient of linear expansion: 11x10-6 /C             Modulus of elasticity: 200 GPa *NEGLECT SHEAR AND LATERAL DEFORMATIONS.   REQUIRED: - which of the two members will have contact on the rigid switch first and at what temperature - axial stress that would develop on 1st member after the 2nd material fills in the gap safely.

Q: A helical compression spring is made of a specialty alloy wire with a wire diameter d = 4 mm and an…

A: Given data: Helical compression spring Diameter,                  d = 4 mm Inner diameter,…

Q: A solid and a hollow shaft, connected by a coupling, transmit power. The outside diameters of the…

A:

Q: A steel shaft in the form of a solid body circular rod or a circular tube can be manufactured.…

A:

Q: H.W.6: A hollow circular cold-rolled bronze [G = 6,500 ksi] tube (1) with an outside diameter of…

A:

Q: A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in…

A: Coupling : It is a mechanical element which connect the shaft from another also it is used to…

Q: H.W.6: A hollow circular cold-rolled bronze [G, 6,500 ksi] tube (1) with an outside diameter of 1.75…

A: Given: Modulus of rigidity of bronze is ,G2=6500 ksi =6500×103 lbin2 The outside diameter of bronze…

Q: (1) A steel cylinder (Oyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an in %3D…

A:

Q: A steel shaft in the form of a solid body circular rod or a circular tube can be manufactured.…

A: Given, Torque, T=1200 N.m The maximum permissible unit torsion angle, θ=0.750 /m=75×π180 rad…

Q: The lorsional rigidity of a shaft is expressed by the Maximum torque it can transmit Elastic limit…

A:

Q: A 20 mm diameter steel rod passes concentrically through a bronze tube (200+SN) mm long, 50 mm…

A: According to the given information  the diameter  of the steel rod is  Ds is 20 mm, the inner…

Q: A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a…

A: Given Data⇒ Hollow circular shaft Inner radius (r)=10 mm Outer radius (R)=20 mm Length (L)=1 m shear…

Q: A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm…

A: Given: The outer diameter of shaft, D = 400 mm = 0.4 m The inner diameter of shaft, d = 200 mm = 0.2…

Q: 1. Two short shafts having identical diameters of 35 mm and rotating at 1000 rpm are connected by a…

A:

Q: A copper tube with circular cross sectionhas length L = 1.25 m, thickness t = 2 mm, andshear modulus…

A: Consider figure given in the question for solution compose the connection for the inward…

Q: Q- A solid 75-mm-diameter Aluminum [E = 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long…

A: DAl=Diameter of Solid Aluminum=75 mmLAl=length of Aluminum shaft=1.25 m DB1=Outside Diameter of…

Q: Problem 6.7 A steel shaft, originally 15 cm diameter is sub- jected to an uniform radial compressive…

A: Given data, Original diameter of the steel shaft, do = 15 cm Applied radial compressive stress, σr =…

Q: A composite shaft is comprised of a solid upper part made of aluminium with an elastic modulus of 80…

A:

Q: Maximum shear stress in a solid shaft of diameter D and length L twisting through an angle p is S. A…

A:

Q: Considering the effect of curvature  A helical spring is made from a wire of 6 mm diameter and has…

A: Data given- d= 6 mm  Do = 75 mm  τ = 350 Mpa  G = 84 kN/mm2

Q: Three parallel vertical rods of equal length (L-2m) support a rigid beam AB to which a force…

A:

Q: 2 PUII The figure below shows a shaft of three segments. It is restrained (fixed support) at both…

A:

Q: Two coaxial closed coil springs make up a standard compound helical spring. When both springs are…

A:

Q: Determine the magnitude of the largest torque TA that may be applied at A.

A: For solution refer below images.

Q: H.W.6: A hollow circular cold-rolled bronze [G, = 6,500 ksi] tube (1) with an outside diameter of…

A: Given that, Modulus of rigidity of bronze tube 1, Gt=6500 ksi,Outside diameter of tube 1, do=1.75…

Q: 3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner…

A: Given dataLength of the shaft AB and BC = 50mmShaft AB inner raius ri = 20mmShaft AB outer radius ro…

Q: Find the proper spacing for 8-mm diameter steel rod for a 1.80-m diameter wood stave pipe if the…

A:

Q: Q6: A thin steel cylinder 1 m long, of 150 mm internal diameter and plate thickness of 5 mm, is…

A: Introduction: A thin cylindrical shell is also known as a pressure vessel, and these vessels are…

Q: Example 22.7I. A laminated steel spring, simply supported at the ends and centrally loaded, with a…

A: Springs are one of the flexible machine elements, which gets deformed when load is applied to it and…

Q: A hollow aluminum tube used is a roof structure has an outside diameter d2=70mm and inside diameter…

A: (a) The angle of twist is ϕ = 7.3o. (b) The diameter required for solid shaft is d = 63.3 mm.

Q: A hollow circular shaft of inner radius 20 mm, outer radius 40 mm and length 1 m is to be used as a…

A: Given data: The inner radius of the shaft is ri = 20 mm. The outer radius of the shaft is ro = 40…

Q: The figure shows a section of a shaft made of annealed steel with yield strength of 600 MPa and…

A: Given: The yield strength of material, Sy = 600 MPa The ultimate strength of the material, Su = 700…

Q: Two sections of steel drill pipe, joined by bolted flange plates at 8, are subjected to a…

A:

Q: A steel shaft (G = 80 GPa) with an external drive of 30mm must transmit a torque of 2700 N-m. The…

A:

Q: A steel shaft A of diameter d'and length Lis subjected to a torque T. Another shaft B made of…

A: We are asked to find shear stress in aluminium and we are aware of shear stress in steel. From…

Q: The mechanical system consists of two identical steel rods (A = 30 mm?, E = 200GPA, a = 15×106/°C)…

A:

Q: 3. A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside…

A: Given data: Outside diameter of tube is d0 = 104 mm. Inside diameter of tube is di = 82 mm. The…

Q: A steel shaft in the form of a solid body circular rod or a circular tube can be manufactured.…

A:

Q: A solid circular shaft has a diameter of d mm and is made from steel, which fail when tested in…

A: Given:Syt=150 MPaM=22.2 KN.mT=44.4 KN.m

Q: A hollow circular shaft of inner radius 10mm, outer radius 20mm and length 1m is to be used as a…

A: Given data The inner radius of the circular shaft is ri = 10mm. The outer radius of the circular…

Q: Space limitations in the design of an aircraft limit the wall thickness of an aluminum torsion…

A: Data given - Do = 0.041 m Di = 0.039 m Maximum allowable shear stress  = 60 Mpa  t= 4mm

Q: A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in…

A:

Q: The figure shows a section of a shaft made of annealed steel with yield strength of 600 MPa and…

A:

Q: Q-A solid 75-mm-diameter Aluminum [E 80 GPa and 0.3 Poisson ratio] shaft that is 1.25-m long extends…

A:

Q: A 20 mm diameter steel rod passes concentrically through a bronze tube (200+SN) mm long, 50 mm…

A: Given: ds=20 mmD0=50 mmDi=40 mmσs=203 MN/m2p=1 mmEs=210 GN/m2Ebr=100 GN/m2

Q: A solid circular shaft is subjected to a bending moment of 2800 Nm and a torque of 10,000 Nm. The…

A: Given Bending moment = 3000 Nm Torque = 100000 Nm Material 45C8 Maximum tensile stress = 700 MPa…

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.