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Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

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ExAMpLES

M4.1 The structure

shown is used to support a

distributed load of w =

15 kN/m. Each bolt at A,

B, and C has a diameter of

16 mm, and each bolt is

used in a double-shear

connection. The crosssectional

area of axial

member (1) is 3,080 mm 2 .

The limiting stress

in axial member (1) is

50 MPa, and the limiting

stress in the bolts is 280

MPa. Determine the factors of safety with respect to the

specified limiting stresses for axial member (1) and bolt C.

M4.2 Two steel plates are connected by a pair of splice

plates with eight bolts, as shown. The ultimate strength of

the bolts is 270 MPa. An axial tension load of P = 480 kN is

transmitted by the steel plates.

If a factor of safety of 1.6 with respect to failure by

fracture is specified, determine the minimum acceptable

diameter of the bolts.

M4.3 The structure

shown supports a distributed

load of w kN/m. The

16 mm diameter bolts at

A, B, and C are each used

in double-shear connections.

The cross-sectional

area of axial member (1)

is 3,080 mm 2 .

The limiting normal

stress in axial member (1)

is 50 MPa, and the limiting

stress in the bolts is

280 MPa. If a minimum

factor of safety of 2.0 is

required for all components, determine the maximum allowable

distributed load w that may be supported by the

structure.

ExERcISES

m4.1 The structure shown supports a specified distributed load.

Suppose the limiting stresses for rod (1) and pins A, B, and C are

given. Determine the axial force in rod (1), the resultant force in pin C,

and the factors of safety with respect to the specified limiting

stresses for rod (1) and pins B and C.

FIGURE M4.1

73

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