## Strength of materials |

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Page 118

Observe that the maximum shear and the maximum bending moment always

occur at the restrained end of a cantilever

possible if some of the

also that ...

Observe that the maximum shear and the maximum bending moment always

occur at the restrained end of a cantilever

**beam**. An exception to this rule ispossible if some of the

**loads**are upward and the other**loads**downward. Notealso that ...

Page 266

This suggests that the area-moment method can be used to determine bending

moment from the

This suggests that the area-moment method can be used to determine bending

moment from the

**load**diagram, just as ... We need merely assume that a**beam**is**loaded**, not with the actual**loads**, but with the M / EI diagram corresponding to ...Page 594

A

-1439. If the limit moment of the simple

cantilever

a A ...

A

**load**P is supported by a cantilever resting on a simple**beam**as shown in Fig. P-1439. If the limit moment of the simple

**beam**is three-quarters that of thecantilever

**beam**, determine the**load**P at which collapse impends. Ans. P = 3M,_ /a A ...

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### Common terms and phrases

allowable stresses aluminum angle applied load area-moment method assumed axial load beam in Fig beam loaded beam shown bolt bronze cantilever beam caused centroid column compressive stress concentrated load continuous beam cross section deﬂection deformation Determine the maximum diameter elastic curve element end moments equal equilibrium equivalent exploratory section factor of safety fibers ﬂexural flexural stress Flgure free-body diagram Hence horizontal ILLUSTRATIVE PROBLEMS kN-m kN/m length loaded as shown maximum shearing stress maximum stress midspan midspan deﬂection Mohr’s circle neutral axis normal stress obtain plane positive principal stresses proportional limit radius reaction resisting restrained beam resultant rivet segment shaft shear center shear diagram shearing force shearing strain shown in Fig simply supported beam slope Solution span static equilibrium statically indeterminate steel strain tangent drawn tensile stress three-moment equation torque torsional uniformly distributed load value of E18 vertical shear weld