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Mechanics of Materials
Mechanics of Materials
186 SOLVED PROBLEMS
Question: 9.S-P.5
The rigid bar DEF is welded at point D to the uniform steel beam AB. For the loading shown, determine (a) the equation of the elastic curve of the beam, (b) the deflection at the midpoint C of the beam. Use E = 29 × 10^6 psi. ...
Verified Answer:
Bending Moment. The equation defining the bending ...
Question: 8.S-P.3
The solid shaft AB rotates at 480 rpm and transmits 30 kW from the motor M to machine tools connected to gears G and H; 20 kW is taken off at gear G and 10 kW at gear H. Knowing that tall = 50 MPa, determine the smallest permissible diameter for shaft AB. ...
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Torques Exerted on Gears. Observing that f = 4...
Question: 8.1
Two forces P1 and P2, of magnitude P1 = 15 kN and P2 = 18 kN, are applied as shown to the end A of bar AB, which is welded to a cylindrical member BD of radius c = 20 mm (Fig. 8.21). Knowing that the distance from A to the axis of member BD is a= 50 mm and assuming that all stresses remain below ...
Verified Answer:
Internal Forces in Given Section. We first rep...
Question: 7.S-P.7
Using a 60° rosette, the following strains have been determined at point Q on the surface of a steel machine base: ε1 = 40 m ε2 = 980 m ε3 = 330 m Using the coordinate axes shown, determine at point Q, (a) the strain components εx, εy, and gxy, (b) the principal strains, (c) the maximum shearing ...
Verified Answer:
a. Strain Components
\epsilon_{x}, \epsilon...
Question: 9.S-P.7
For the beam and loading shown, determine the slope and deflection at point B. ...
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Principle of Superposition. The given loading ...
Question: 11.16
A load P is supported at B by three rods of the same material and the same cross-sectional area A (Fig. 11.52). Determine the force in each rod. ...
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The structure is statically indeterminate to the f...
Question: 11.10
Determine the deflection of end A of the cantilever beam AB (Fig. 11.34), taking into account the effect of (a) the normal stresses only, (b) both the normal and shearing stresses. ...
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(a) Effect of Normal Stresses. The work of the...
Question: 9.13
Determine the maximum deflection of the beam of Example 9.12. ...
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Determination of Point K Where Slope Is Zero. We r...
Question: 9.S-P.12
For the beam and loading shown, (a) determine the deflection at end A, (b) evaluate yA for the following data: W10 × 33: I = 170 in^4 E = 29 × 10^6 psi a = 3 ft = 36 in. L = 5.5 ft = 66 in. w = 13.5 kips/ft = 1125 lb/in. ...
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(M/EI) Diagram. We first draw the bending-mome...
Question: 11.8
A block of mass m moving with a velocity v0 hits squarely the prismatic member AB at its midpoint C (Fig. 11.31). Determine (a) the equivalent static load Pm, (b) the maximum stress sm in the member, and (c) the maximum deflection xm at point C. ...
Verified Answer:
(a) Equivalent Static Load. The maximum strain...
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