Question

In: Mechanical Engineering

a rectangular slab of 2024-T6 alluminium alloy is to be machined by a cutting tool of...

a rectangular slab of 2024-T6 alluminium alloy is to be machined by a cutting tool of a rake angle of 6.5 degrees. the friction coefficiet between the tool and the slabmaterial was found to be 0.32 . if the shear yield stress of the alluminium alloy is 210 MN/m^2 , calculate the force in the direction of the tool feed (Fx) for a depth cut (t) of 0.8 mm and a unit tool width of 1mm.

Expert Solution

Rake angle = 6.5

friction coefficient between tool and slab material = 0.32

Shear yield stress = 210 MN/m².

Depth of cut =t = 0.8 mm.

Tool width =w=1 mm.

Cutting force F_c =

Where Fs = shear force

= rake angle = 6.5

Coefficient of friction =

Angle == 17.74⁰.

Shear force = Shear yield strength * shear area.

Shear area = A_s =

where = shear plane angle.

From merchant relation, the shear plane angle is determined as

Shear plane angle = = 45+(6.5/2) - (17.74/2) = 39.4⁰.

Shear area = A_s = t*w / sin 39.4 = 1.26 * 10^-6 m².

Shear force = Yield shear stress * shear area = 210*10⁶ * 1.26*10^-6 = 264.6 N.

Cutting force F_c =

Cutting force = Fc = 264.6 cos(17.74-6.5) / cos(39.4 + 17.74 - 6.5) = 409 N

samet mamat answered 2 years ago

The bolt is made of 2014-T6 aluminum alloy and is tightened so it compresses a cylindrical...

The bolt is made of 2014-T6 aluminum alloy and is tightened so it compresses a cylindrical tube made of Am 1004-T61 magnesium alloy. The tube has an outer radius of 10 mm, and both the inner radius of the tube and the radius of the bolt are 5 mm. The washers at the top and bottom of the tube are considered to be rigid and have a negligible thickness. Once snug against the washers, the nut is tightened a full...

An annealed aluminum alloy slab with a thickness of 12 mm and width of 1m is...

An annealed aluminum alloy slab with a thickness of 12 mm and width of 1m is to be cold rolled to a thickness of 9 mm using 2-high rolls with roll diameter of 1m. The rolls have a coefficient of friction of 0.08 and they are rotating with a speed of 18 RPM. The aluminum has an entrance speed of 50 m/min and a width that does not change as a result of drawing. The strength coefficient K =240 and...

The stress state on the inside flange of an aluminum alloy 2024-T3 wheelhub is found to...

The stress state on the inside flange of an aluminum alloy 2024-T3 wheelhub is found to beσxx=−83 MPa,σyy=−145 MPa,σzz=−35 MPa,σxy= 44 MPa,σxz= 0, .σyz=−22 MPa. What is the safety factor guarding against failure assuming theloads are static?(A) 2.4(B) 3.7(C) 1.8(D) 2.7

Slab milling is performed on the top surface of a rectangular workpiece that is 12.0 in...

Slab milling is performed on the top surface of a rectangular workpiece that is 12.0 in long by 2.5 in wide by 4.0 in thick. The helical milling cutter, which has a 3.0-in diameter and eight teeth overhangs the width of the part on both sides. Cutting speed = 125 ft/min, feed = 0.006 in/tooth, and depth of cut = 0.300 in. Determine (a) machining time, in min, and (b) maximum metal removal rate during the cut. in in3/min (c)...

The top surface of a rectangular work part is machined in a peripheral milling operation. The...

The top surface of a rectangular work part is machined in a peripheral milling operation. The work part is 735 mm long by 50 mm wide by 95 mm thick. The milling cutter, which is 65 mm in diameter and has five teeth, overhangs the width of the part equally on both sides. Cutting speed = 60 m/min, chip load = 0.20 mm/tooth, and depth of cut = 7.5 mm. (a) Determine the time required to make one pass across...

. A 20 mm diameter sphere made of aluminum alloy 2024 initially at a uniform temperature...

. A 20 mm diameter sphere made of aluminum alloy 2024 initially at a uniform temperature of 500 ºC is suddenly immersed in a saturated water bath maintained at atmospheric pressure. The surface of the sphere has an emissivity or 0.25. Determine. a.) the total heat transfer coefficient for this initial condition, and b.) what fraction of the total coefficient is contributed by radiation. (~180 W/m2 -K, ~ 7%)

In general, cutting heat in cutting operations mainly affects tool wear, whereas grinding heat in grinding...

In general, cutting heat in cutting operations mainly affects tool wear, whereas grinding heat in grinding operations has a significant effect on the surface finish of the workpiece. Explain why this is so using a figure. Explain the reason for this with a figure. I can't read in cursive . Therefore, I would like you to write in block style.

A 2024-T3 aluminum bar has rectangular cross section dimensions of 2" x 0.5". The length of...

A 2024-T3 aluminum bar has rectangular cross section dimensions of 2" x 0.5". The length of the column is 9.0 inches. A) Calculate the transition slenderness ratio (Sr)D for this column. [Answer should be 69.9] B) Calculate the slenderness ratio for your assigned column length. [Answer should be 62] C) Calculate the maximum unit load (Pcr/A) for the bar. Indicate whether the column is a Johnson or Euler column. [Numerical answer should be 25296 psi but I don't know Johnson...

1) A string trimmer is a tool for cutting grass and weeds; it utilizes a length...

1) A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 47 rev/s, and its tip has a tangential speed of 56 m/s. What is the length of the rotating string? 2) A planet orbits a star, in a year of length 4.62 x 107 s, in a nearly circular orbit of...

A light ray passes through a rectangular slab of transparent material having index of refraction n=2,...

A light ray passes through a rectangular slab of transparent material having index of refraction n=2, as shown in the figure (Figure 1). The incident angle is θo=50.0∘. a) Determine θa. Express your answer in degrees to two significant figures. b)Determine θb. Express your answer in degrees to two significant figures. c) Determine θc. Express your answer in degrees to two significant figures. d) What is the relationship between the directions of the incident ray and the emerging ray?