Tutorial 1 properties of material

5/26/2018 Tutorial 1 properties of material

1/19

Properties of Materials and Applications, CPE641

TUTORIAL -1

OCTOBER 2014

1. A 800 Ib homogeneous cylinder is supported by two rollers as shown in Fihure

1. Determine the forces exerted by the rollers on the cylinder. All surfaces are

smooth.

Figure 1: The homogeneous cylinder and its support

Free Body Diagram:

Find RA and RB:

(eq. 1)


2/19

[]

2. A curveed slender bar is loaded and supported as shown in Figure 2.

Determine the reactions at at support A.

Figure 2 The curved bar supporting 250 Lb weight

Free Body Diagram:

Find MA:


3/19

3. The lawn mover shown in Figure 3 weighs 35 Ib. Determine the force P

required to move the mover at a constant velocity and the forces exerted on the

front and rear wheels by the inclined surface.

Figure 3 The lawn mover

Note: 1 lbf=4.45 N1 in = 0.0254 m

Free body Diagram:

Find P,RA and RB:

W = 35lbf

= 10.46lbf

(eq.1)


4/19

Sub RB= 10.10 lbf to eq.1

RA = -28.94 lbf

4. Determine the forces in members CD, CF and FG of the bridge truss as shown

in Figure 4.

Figure 4 The bridge truss

Note; 1 kip = 4.45 KN

1 ft = 0.3048 m

(eq.1)

Sub RE= 16.67kip to eq. 1


5/19

RA= 13.33kip

At point A:

At point B:


6/19

At point E:

(eq.1)

( )(eq.2)

Sub value in eq.2 to eq.1

At point D:

At point C:


7/19

(eq.1)

Solve e.q 1 and e.q 2 simultaneously:

(eq.3)

Sub eq.3 into eq.1

At point F:

(e.q 1)

(eq.2)


8/19

Sub eq.2 to eq.1

5. A drum of mass 200 Kg is supported by a pair of frames. The second frame is

behind the one shown. The system is as shown in Figure 5. Determine the

forces acting on member ACE.

Figure 5 The drum and its support

Free Body Diagram:

( )

(eq.1)


9/19

(eq.2)

Sub eq.2 to eq.1

(eq.1)

(eq.2)Sub eq.2 to eq.1

6. Determine the internal forces acting on section a-a in the bar rack shown in

the diagram below. Each bar has a mass of 50 Kg


10/19

Free Body Diagram:

(

)

( )

(eq.1)

(eq.2)


11/19

(eq.3)

Sub eq.3 to eq.1 and eq.2

7. The reaction between thr crutch and the ground is 35 Ib, as shown in the

diagram below. Determine the internal forces acting on section a-a


12/19

Free Body Diagram:

8. Determine the force P required to push the 115- Kg cylinder over the small block

shown in the diagram below


13/19

Free Body Diagram:

Determine force P:

(eq.1)

(eq.2)


14/19

9. An axial load P is applied to a timber block as shown. Determine the normal and

shear stress on the plane of the grain if P = 1500 Ib

Free Body Diagram:

Assume Effective Area= 1ft2

( )


15/19

(

)

10. The steel bar shown will be used to carry an axial tensile load of 400 KN. If the

thickness of the bar is 45 mm, determine the normal and shearing stresses on

the plane a-a

Free Body Diagram:

( )


16/19


17/19

11.

Free Body Diagram:


18/19

in2 mm2


19/19

225 psi N/mm2

Compresive force,P:

Tutorial 1 properties of material

Documents

Transcript of Tutorial 1 properties of material