# Mechanics of materials Uggto Шифр112302

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Test material resistance Ukhta GTU Шифр112302

Task 5. To the steel shaft attached three famous moment. Required:
1. to establish what value of the point X the angle of rotation of the right end section is equal to zero;
2. for the values of X to plot torque;
3. for a given value [t] to determine diameter of shaft based on strength and round it to the nearest equal 30, 35, 40, 45, 50, 60, 70, 80, 90, 100 mm;
4. plot of twist angles;
5. to find the maximum relative angle of torsion (of 1 m length WA La)

Task 7. For a given cross-section consisting of steel channel and isosceles of area required:
- determine the position of the center of gravity
to find the axial and centrifugal moments of inertia about a random axis.
- determine the direction of the main Central axes
find the moments of inertia relative to the main Central axis
- draw the cross-section scale 1:2 and specify all dimensions

Task 8. For the given two diagrams of beams required to construct the diagrams of shear forces and bending moments and to pick up from the condition of strength:
1) the scheme - (a) a wooden beam of circular cross-section [σ]=8mpa;
2) for scheme (b) steel beam of I-section [σ]=160МПа.

Problem 13. Short cast-iron beams with a given cross-section is compressed by a force P applied at point A.
1) Compute the greatest tensile and the greatest compressive stresses in the cross section, expressing these stresses through R and the dimensions of the cross-section;
2) Find the allowable load P for the given size of the cross section and the permissible stresses for compression and tension.

Problem 17. A steel rod of length l given the cross-sectional shape is compressed by force F.
Required:
1) choose the size of core cross section (calculated to be produced by the method of successive approximations for the ratio );
2) find the value of critical force RRC and to compute the stability margin of the terminal PU. Stem material steel St.3; the allowable compression stress []=160 MPa.

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