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Mechanics Statics
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Mechanics of Materials
Statics and Mechanics of Materials
148 SOLVED PROBLEMS
Question: 12.4
Select a wide-flange beam to support the 15-kip load as shown in Fig. 12.14. The allowable normal stress for the steel used is 24 ksi. ...
Verified Answer:
1. The allowable normal stress is given:
σ_...
Question: 16.S-P.3
Using the aluminum alloy 2014-T6, determine the smallest diameter rod which can be used to support the centric load P = 60 kN if (a) L = 750 mm, (b) L = 300 mm. ...
Verified Answer:
For the cross section of a solid circular rod, we ...
Question: 16.S-P.2
Column AB consists of a W10 × 39 rolled-steel shape made of a grade of steel for which σY = 36 ksi and E = 29 × 10^6 psi. Determine the allowable centric load P (a) if the effective length of the column is 24 ft in all directions, (b) if bracing is provided to prevent the movement of the midpoint C ...
Verified Answer:
We first compute the value of the slenderness rati...
Question: 16.3
Knowing that column AB (Fig. 16.25) has an effective length of 14 ft, and that it must safely carry a 32-kip load, design the column using a square glued laminated cross section. The adjusted modulus of elasticity for the wood is E = 800 × 10³ psi, and the adjusted allowable stress for compression ...
Verified Answer:
We note that c = 0.90 for glued laminated wood col...
Question: 16.2
Determine the longest unsupported length L for which the S100 × 11.5 rolled-steel compression member AB can safely carry the centric load shown (Fig. 16.22). Assume σY = 250 MPa and E = 200 GPa. ...
Verified Answer:
From App. C we find that, for an S100 × 11.5 shape...
Question: 16.S-P.1
An aluminum column of length L and rectangular cross section has a fixed end B and supports a centric load at A. Two smooth and rounded fixed plates restrain end A from moving in one of the vertical planes of symmetry of the column but allow it to move in the other plane. (a) Determine the ratio ...
Verified Answer:
Buckling in xy Plane. Referring to Fig. 16.17, we ...
Question: 15.S-P.6
For the beam and loading shown, determine the reaction at the fixed support C. ...
Verified Answer:
Principle of Superposition. Assuming the axial for...
Question: 15.S-P.5
For the uniform beam and loading shown, determine (a) the reaction at each support, (b) the slope at end A. ...
Verified Answer:
Principle of Superposition. The reaction
R_...
Question: 15.S-P.4
For the beam and loading shown, determine the slope and deflection at point B. ...
Verified Answer:
Principle of Superposition. The given loading can ...
Question: 15.7
Determine the reactions at the supports for the prismatic beam and loading shown in Fig. 15.29. (This is the same beam and loading as in Example 15.5 of Sec. 15.5.) ...
Verified Answer:
We consider the reaction at B as redundant and rel...
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