exam math 1 & Exam math 4

Student ID: 21918388

Exam: 498809RR - BEAMS, COLUMNS, LOAD SYSTEMS

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Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer.

 

1. Refer to the image shown here in answering this question.

The beam whose cross section is shown in the figure supports a moment of 500 lb-ft. Determine its bending stress.

A. .52 lb/ft2

B. .78 lb/ft2

C. .62 lb/ft2

D. .84 lb/ft2

 

2. Determine the modulus of elasticity of a 4.5-inch diameter column, that's 100 inches high, and pinned at the top and bottom. The column has a critical buckling stress (fcr) of 3 ksi.

A. 6.0 × 105 psi

B. 7.2 × 105 psi

C. 6.4. × 105 psi

D. 5.2 × 105 psi

 

3. Refer to the image shown here in answering this question.

For the beam shown in the figure, determine the reaction at Point B. A. 5800 lbs

B. 3200 lbs

C. 1800 lbs

D. 2900 lbs

 

4. Refer to the image shown here in answering this question.

For the beam shown in the figure, determine the y-axis component of the reaction at Point A. A. 450 lbs

B. 250 lbs

C. 650 lbs

D. 800 lbs

 

5. Refer to the image shown here in answering this question.

Determine the moment of inertia of the object shown in the figure.

A. 9273.33 ft4

B. 8873.33 ft4

C. 6386.66 ft4

D. 7873.33 ft4

 

6. Refer to the image shown here in answering this question.

For the beam shown in this figure, determine the reaction at Point B. A. 250 lbs

B. 450 lbs

C. 650 lbs

D. 800 lbs

 

7. Refer to the image shown here in answering this question.

The beam whose cross section is shown in the figure supports a moment of 1000 N-m. Determine its bending stress.

A. 5.67 N/m2

B. 8.33 N/m2

C. 10 N/m2

D. 6.33 N/m2

 

8. Determine the critical buckling stress (fcr ) of a 2-inch radius column that's 10 feet high, and pinned at

the top and bottom. The column's material has a modulus of elasticity of 1.5 x 106 psi. A. 4112.34 psi

B. 1280.44 psi

C. 2319.56 psi

D. 3419.56 psi

 

9. Beams are designed for all of the following, except

A. moments.

B. shear.

C. critical buckling.

D. deflection.

 

10. Refer to the image shown here in answering this question.

The rectangular beam shown in this figure has a cross-sectional area of 75 in.2 and supports the loads shown. Determine the maximum shear stress. A. 42 psi

B. 16 psi

C. 32 psi

D. 58 psi

 

11. All buildings are subjected to wind and/or earthquake force and must therefore have A. moment of inertia about the y-axis.

B. a structural system for resisting lateral forces.

C. allowable compressive stress.

D. actual compressive stress.

 

12. The two basic categories that define types of columns are A. short and long.

B. thick and thin.

C. circular and rectangular.

D. soft and hard.

 

13. Bending stresses that are within a member's elastic limit are composed of A. the summation of the moments.

B. compressive stresses only.

C. tensile stresses only.

D. compressive and tensile stress.

 

14. Refer to the image shown here in answering this question.

The rectangular beam shown in this figure has a cross sectional area of 75 in.2 and supports the loads shown. Determine what the maximum shear stress would be if only the two 800 lb concentrated forces were applied. A. 32 psi

B. 58 psi

C. 16 psi

D. 42 psi

 

15. Refer to the image shown here in answering this question.

For the beam shown in the figure, determine the Y-axis component of the reaction at Point A. A. 2900 lbs

B. 3200 lbs

C. 1800 lbs

D. 5800 lbs

 

16. Deflection in a beam is simply defined as A. vertical sag.

B. a diagonal force.

C. horizontal stretch.

D. a neutral axis force.

 

17. Refer to the image shown here in answering this question.

The rectangular beam shown in Figure 19A has a cross sectional area of 50 in.2 and supports the loads shown. Determine what the maximum shear stress would be if only the two 250 lb concentrated forces were applied. A. 12 psi

B. 7.5 psi

C. 19.5 psi

D. 7 psi

 

18. Refer to the image shown here in answering this question.

The beam whose cross section is shown in this figure supports a moment of 1000 N-m. Determine its bending stress. A. 52.24 psi

B. 43.58 psi

C. 58.42 psi

D. 62.85 psi

 

19. Shear stresses, unlike bending stresses, are A. vertical.

B. neither horizontal or vertical.

C. both horizontal and vertical.

D. horizontal.

 

20. All of the following are examples of lateral loads, except

A. a weight sitting on top of a chair.

B. earthquakes (seismic) loads.

C. wind loads.

End of exam

D. pushing on the side of a building.