## Strength of materials |

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Page 110

We denote this change in shear as AV. In the right-hand term the product w dx

represents the area of an element of the load diagram like that shown shaded in

Fig. 4- 1 9a.

We denote this change in shear as AV. In the right-hand term the product w dx

represents the area of an element of the load diagram like that shown shaded in

Fig. 4- 1 9a.

**Hence**the definite integral J** w dx, which means the summation of ...Page 114

we determine the areas of the shear diagram marked A\,A2,A}, and A4. Ax = J(3X

-6) = -9 kN-m A2 = i(7X14) = +49 kN-m A} = i(2X-4) = -4 kN • m A4 = 3(-12) = -36 ...

**Hence**BE = d= 14/2 = 7 m. As a preliminary to computing the bending moments,we determine the areas of the shear diagram marked A\,A2,A}, and A4. Ax = J(3X

-6) = -9 kN-m A2 = i(7X14) = +49 kN-m A} = i(2X-4) = -4 kN • m A4 = 3(-12) = -36 ...

Page 530

Figure A-1l coincides with the x0 axis of the figure;

need not be used. Using the result listed in Table A-l, we therefore obtain 200(

300)3 12 two 90-mm by 260-mm rectangles: Ix = 2 450.0 X 106 mm4 T90(260)3]

...

Figure A-1l coincides with the x0 axis of the figure;

**hence**the transfer formulaneed not be used. Using the result listed in Table A-l, we therefore obtain 200(

300)3 12 two 90-mm by 260-mm rectangles: Ix = 2 450.0 X 106 mm4 T90(260)3]

...

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allowable stresses aluminum angle area-moment assumed axes axial load beam in Fig beam loaded beam shown bending bolts cantilever beam caused centroid column components compressive stress Compute the maximum concentrated load connector cross section deformations Determine the maximum diameter elastic curve element end moments equal equivalent Euler's formula factor of safety fibers Figure flange flexure formula free-body diagram Hence Hooke's law horizontal Illustrative Problem kips lb/ft length loaded as shown main plate maximum shearing stress maximum stress method midspan deflection Mohr's circle moments of inertia neutral axis obtain plane plastic positive product of inertia proportional limit radius reaction rectangular resisting resultant rivet rotation segment shaft shear center shear diagram shearing force shown in Fig slope Solution span static steel strain tensile stress thickness three-moment equation torque torsional U.S. Customary Units uniformly distributed load vertical shear weld zero