Part A -
1. Refer to the image given in attached file and answer this question.
Determine the moments of the forces about Point B in the figure. Note that counterclockwise moments are positive.
A. -3064.62 ft-lbs
B. 370.77 ft-lbs
C. 3609.24 ft-lbs
D. 064.62 ft-lbs
2. Refer to the image given in attached file and answer this question.
The distributed load shown in the figure is converted to a concentrated load. At what distance from Point A will the concentrated load act on the beam?
A. 3.33 ft
B. 5 ft
C. 0 ft
D. 10 ft
3. A roller connection has
A. both a reaction moment and a reaction with both X and Y components.
B. one reaction with both an X and Y component.
C. only a reaction moment.
D. one reaction with either an X or Y component.
4. Refer to the image given in attached file and answer this question.
What is the x-axis component of the force shown in the figure?
A. 114.68 lbs
B. 80.3 lbs
C. 25.32 lbs
D. 59.7 lbs
5. Refer to the image given in attached file and answer this question.
What is the y-axis component of Force 2 shown in the figure?
A. 30.31 lbs
B. -30.31 lbs
C. 112.69 lbs
D. -112.69 lbs
6. Refer to the image given in attached file and answer this question.
The distributed load shown in this figure is converted to a concentrated load. At what distance from Point A will the concentrated load act on the beam?
A. 3.33 m
B. 0 m
C. 6.67 m
D. 5 m
7. Refer to the image given in attached file and answer this question.
What is the y-axis component of the force shown in this figure?
A. 59.7 lbs
B. 114.68 lbs
C. 80.3 lbs
D. 25.32 lbs
8. The magnitude of a force can be expressed in any of the following terms except
A. kips.
B. newtons.
C. meters.
D. pounds.
9. A pinned connection has
A. one reaction with both X and Y components.
B. only a reaction moment.
C. both a reaction moment and a reaction with both X and Y components.
D. one reaction with either an X or Y component.
10. Refer to the image given in attached file and answer this question.
Determine the reaction at Point B, shown in the figure.
A. 550 lbs
B. 300 lbs
C. 0 lbs
D. 350 lbs
11. Refer to the image given in attached file and answer this question.
The distributed load shown in the figure is converted to a concentrated load. What magnitude will the concentrated load have?
A. 2500 lbs
B. 200 lbs
C. 2000 lbs
D. 1000 lbs
12. When converting a uniform distributed load to a concentrated load, the location of the concentrated load is placed
A. at the right end of the loaded area.
B. at the left end of the loaded area.
C. somewhere between the center and the left or right end of the loaded area.
D. at the center of the loaded area.
13. Refer to the image given in attached file and answer this question.
What is the angle (in degrees) of the resultant force of the concurrent force system shown in the figure? The angle should be measured counterclockwise, with respect to the positive x-axis.
A. 2.44
B. 3.56
C. -3.56
D. -2.44
14. You'll most often determine the resultant force of a concurrent force system with a method that uses
A. parallelograms.
B. rectangles.
C. graphical addition.
D. components.
15. Refer to the image given in attached file and answer this question.
Determine the moments of the forces about Point A in the figure. Note that counterclockwise moments are positive.
A. 2806.48 ft-lbs
B. -370.77 ft-lbs
C. -3064.62 ft-lbs
D. 3064.62 ft-lbs
16. Refer to the image given in attached file and answer this question.
Determine the x-axis component of the reaction at Point A, shown in the figure.
A. 300 lbs
B. -900 lbs
C. 0 lbs
D. 600 lbs
17. Refer to the image given in attached file and answer this question.
In this figure, determine the reaction at Point A.
A. 200 lbs
B. 1000 lbs
C. 500 lbs
D. 2000 lbs
18. Refer to the image given in attached file and answer this question.
What is the x-axis component of Force 2 shown in the figure?
A. 54.96 lbs
B. 30.31 lbs
C. 88.04 lbs
D. 112.69 lbs
19. Refer to the image given in attached file and answer this question.
What is the magnitude of the resultant force of the concurrent force system shown in the figure?
A. 325.56 lbs
B. 311.43 lbs
C. 315.27 lbs
D. 339.11 lbs
20. Which one of the following sign conventions iscorrect?
A. Upward pointing forces are negative.
B. A force causing a counterclockwise rotation creates a negative moment.
C. Downward-pointing forces are positive.
D. A force causing clockwise rotation creates a negative moment.
Part B -
1. A truss is a structural system that's made up of members called
A. links.
B. beams.
C. rods.
D. panels.
2. Refer to the image given in attached file and answer this question.
Determine the link force in Member AD shown in the figure. Then determine whether the member is in tension or compression.
A. 275 lbs, compression
B. 525 lbs, tension
C. 275 lbs, tension
D. 525 lbs, compression
3. Prior to application of a load, a cylinder measure's 20 inches in height. The cylinder is then subjected to a compression test. When a load of 5,000 psi is applied, the strain is .005 inch/inch. What is the change in length of the cylinder when the 5,000 psi load is applied?
A. 0.25 in.
B. 0.15 in.
C. 0.05 in.
D. 0.1 in.
4. A material's modulus of elasticity is a measure of its
A. cross-sectional area.
B. stiffness.
C. diameter.
D. strength.
5. The strain on a material sample that's exposed to a load is the ratio of the sample's
A. change in stress to original stress.
B. original length to final length.
C. change in length to original length.
D. original stress to final stress.
6. A cylinder 20 inches high is subjected to a compression test. When a load of 5,000 psi is applied, the strain is 0.005 inch/inch. What is the modulus of elasticity for the cylinder?
A. 1,000,000 psi
B. 5,000 psi
C. 50,000 psi
D. 100,000 psi
7. All of the following are basic categories of stress except
A. tension and compression stress.
B. shear stress.
C. bending stress.
D. rotational stress.
8. Refer to the image given in attached file and answer this question.
Find the cross-sectional area of the bolt shown in the figure given that there's an average shear stress of 27 ksi and the bolt is subjected to a force, F = 12.5 kips.
A. 0.840 in. 2
B. 0.463 in.2
C. 0.663 in. 2
D. 0.718 in.2
9. A material sample is exposed to shear stress. The shear stress acts
A. parallel to the sample's cross-sectional area.
B. perpendicular to the sample's cross-sectional area.
C. into the sample's cross-sectional area.
D. away from the sample's cross-sectional area.
10. Refer to the image given in attached file and answer this question.
Find the average shear stress in the bolt shown in the figure. Assume that the bolt's diameter is 0.5" and it's subjected to a tensile force, F = 15 kips.
A. 38.205 ksi
B. 89.34 ksi
C. 152.82 ksi
D. 76.41 ksi
11. Refer to the image given in attached file and answer this question.
Determine the link force in Member BC shown in the figure. Then determine whether the member is in tension or compression.
A. 213.03 lbs, tension
B. 586.97 lbs, tension
C. 586.97 lbs, compression
D. 213.03 lbs, compression
12. Refer to the image given in attached file and answer this question.
Determine the link force in Member CD shown in the figure. Then determine whether the member is in tension or compression.
A. 525 lbs, tension
B. 675 lbs, compression
C. 525 lbs, compression
D. 675 lbs, tension
13. A 2-inch-diameter steel rod is 12 feet long. If the rod supports a 20 kip tensile force, determine its elongation in inches. (Assume E = 29 × 103 ksi)
A. 0.0158 in.
B. 0.0332 in.
C. 0.0316 in.
D. 0.0664 in.
14. A 0.25-inch-radius steel rod is 15 feet long. If the rod supports a 10 kip tensile force, determine its elongation in inches. (Assume E = 29 × 103 ksi)
A. 0.6324 in.
B. 0.3162 in.
C. 0.8644 in.
D. 0.9200 in.
15. The method of sections is a procedure for analyzing the effect of loads on trusses based on the principle that when the entire structure is in static equilibrium, all of the parts of the structure
A. must also be in static equilibrium.
B. can't be in static equilibrium.
C. move in relation to the whole.
D. are statically indeterminate.
16. Refer to the image given in attached file and answer this question.
Determine the link force in Member AB shown in the figure. Then determine whether the member is in tension or compression.
A. 307.46 lbs, compression
B. 137.5 lbs, compression
C. 137.5 lbs, tension
D. 307.46 lbs, tension
17. A rod 15 inches long is subjected to a compression test. When a load of 4,000 psi is applied, the strain is 0.003 inch/inch. What is the modulus of elasticity for the cylinder?
A. 2,666.66 psi
B. 2,666,666.66 psi
C. 1,333.33 psi
D. 1,333,333.33 psi
18. Tension and compression stresses are considered normal stress since they act
A. perpendicular to the loaded material's cross-sectional area.
B. parallel to the loaded material's cross-sectional area.
C. away from the loaded material's cross-sectional area.
D. into the loaded material's cross-sectional area.
19. The stress in a member that's exposed to a load is calculated by dividing
A. external force on the member by the member's diameter.
B. internal force (or link force) on the member by the member's diameter.
C. external force on the member by the member's cross-sectional area.
D. internal force (or link force) on the member by the member's cross-sectional area.
20. Bending stresses are considered to be a
A. form of tension stress.
B. combination of tension and compression stresses.
C. form of shear stress.
D. form of compression stress.
Part C -
1. Refer to the image given in attached file and answer this question.
Determine the y-axis component of the centroid for the object shown in the figure.
A. 7.5 m
B. 20 m
C. 5 m
D. 10 m
2. A cross-sectional area's moment of inertia serves as a measurement of the section's
A. strength and stiffness.
B. distance from the point at which a distributed load acts.
C. total force load.
D. geometric area.
3. Two important properties of a cross section of a structural member that are needed to determine the strength and stiffness are
A. modulus of elasticity and moment of inertia.
B. centroid and modulus of elasticity.
C. centroid and moment of inertia.
D. load and moment diagrams.
4. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, what is the y-axis component of the force at Point A?
A. 42.2 kN
B. 16.2 kN
C. 37.8 kN
D. 54 kN
5. The geometric area under the shear diagram up to any point along the length of the beam equals
A. sum of the internal reactions at that point.
B. force at that point.
C. sum of the external reactions at that point.
D. moment at that point.
6. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, calculate the magnitude of the shear force at Point X.
A. 0 kN
B. 25 kN
C. 75 kN
D. -25 kN
7. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, calculate the magnitude of the shear force at Point X.
A. 54 kN
B. 16.2 kN
C. 42.2 kN
D. 37.8 kN
8. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, determine the reaction at Point B.
A. 37.8 kN
B. 54 kN
C. 42.2 kN
D. 16.2 kN
9. When creating the shear and moment diagram for a beam, the maximum moment occurs where the shear is
A. lowest.
B. equal to zero.
C. equal to the moment.
D. highest.
10. Refer to the image given in attached file and answer this question.
Determine the x-axis component of the centroid for the object shown in the figure.
A. 5 m
B. 2.5 m
C. 7.5 m
D. 10 m
11. An object's center of gravity and center of area are common ways of describing the object's
A. moment of inertia.
B. centroid.
C. point of inflection.
D. maximum reaction point.
12. Refer to the image given in attached file and answer this question.
Determine the moment of inertia about the y-axis for the object shown in the figure.
A. 134.21 m4
B. 276.42 m4
C. 154.6 m4
D. 314.21 m4
13. Refer to the image given in attached file and answer this question.
Determine the y-axis component of the centroid for the object shown in the picture.
A. 7.5 m
B. 1 m
C. 8 m
D. 15 m
14. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, calculate the magnitude of the moment at Point X.
A. 75 kN-m
B. -75 kN-m
C. 50 kN-m
D. -50 kN-m
15. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, calculate the moment at Point X.
A. -16.2 kN-m
B. 16.2 kN-m
C. -56.7 kN-m
D. 56.7 kN-m
16. Refer to the image given in attached file and answer this question.
Determine the y-axis component of the centroid for the object shown in the figure.
A. 11 m
B. 12.62 m
C. 13.38 m
D. 26 m
17. Refer to the image given in attached file and answer this question.
Determine the x-axis component of the centroid for the object shown in the figure.
A. 0 m
B. 1 m
C. .0569 m
D. 2.431 m
18. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, calculate the magnitude of the moment at Point X.
A. 326.62 lbs-ft
B. 273.38 lbs-ft
C. 473.38 lbs-ft
D. 546.76 lbs-ft
19. The load diagram is nothing more than an illustration of the
A. final beam shape after applying all loads.
B. beam reactions of the internal loads.
C. initial shape of the beam prior to applying any loads.
D. beam reactions of the external loads.
20. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, calculate the moment at Point A.
A. 50 kN-m
B. 75 kN-m
C. -50 kN-m
D. -75 kN-m
Part D -
1. All of the following are examples of lateral loads, except
A. wind loads.
B. earthquakes (seismic) loads.
C. pushing on the side of a building.
D. a weight sitting on top of a chair.
2. All buildings are subjected to wind and/or earthquake force and must therefore have
A. moment of inertia about the y-axis.
B. actual compressive stress.
C. allowable compressive stress.
D. a structural system for resisting lateral forces.
3. Refer to the image given in attached file and answer 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. 58.42 psi
C. 43.58 psi
D. 62.85 psi
4. Beams are designed for all of the following, except
A. shear.
B. deflection.
C. critical buckling.
D. moments.
5. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, determine the reaction at Point B.
A. 3200 lbs
B. 5800 lbs
C. 1800 lbs
D. 2900 lbs
6. 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. 5.2 × 105 psi
B. 6.0 × 105 psi
C. 7.2 × 105 psi
D. 6.4. × 105 psi
7. Refer to the image given in attached file and answer this question.
The rectangular beam shown in this figure has a cross-sectional area of 50 in.2 and supports the loads shown. Determine the maximum shear stress.
A. 19.5 psi
B. 7.5 psi
C. 12 psi
D. 7 psi
8. Shear stresses, unlike bending stresses, are
A. neither horizontal or vertical.
B. both horizontal and vertical.
C. vertical.
D. horizontal.
9. Deflection in a beam is simply defined as
A. a diagonal force.
B. vertical sag.
C. a neutral axis force.
D. horizontal stretch.
10. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, determine the Y-axis component of the reaction at Point A.
A. 2900 lbs
B. 5800 lbs
C. 3200 lbs
D. 1800 lbs
11. Refer to the image given in attached file and answer 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. 10 N/m2
C. 6.33 N/m2
D. 8.33 N/m2
12. Refer to the image given in attached file and answer this question.
Determine the moment of inertia of the object shown in the figure.
A. 6386.66 ft4
B. 7873.33 ft4
C. 9273.33 ft4
D. 8873.33 ft4
13. Refer to the image given in attached file and answer 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. 16 psi
B. 32 psi
C. 42 psi
D. 58 psi
14. 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. 2319.56 psi
B. 4112.34 psi
C. 1280.44 psi
D. 3419.56 psi
15. Refer to the image given in attached file and answer this question.
For the beam shown in the figure, determine the y-axis component of the reaction at Point A.
A. 650 lbs
B. 250 lbs
C. 800 lbs
D. 450 lbs
16. When a beam's loading diagram shows many evenly distributed concentrated loads,
A. you must first calculate the moments created by each concentrated load.
B. your analysis can ignore all the concentrated loads because they are evenly distributed.
C. you must calculate the effect of each concentrated load separately.
D. your analysis can treat the evenly distributed concentrated loads as a uniformly distributed load.
17. Refer to the image given in attached file and answer this question.
Determine the moment of inertia of the object shown in the figure.
A. 817.58 in4
B. 912.42 in4
C. 915.42 in4
D. 815.58 in4
18. Refer to the image given in attached file and answer this question.
Determine the moment of inertia of the object shown in the figure.
A. 500 m4
B. 480 m4
C. 720 m4
D. 360 m4
19. Refer to the image given in attached file and answer 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. 19.5 psi
B. 7 psi
C. 7.5 psi
D. 12 psi
20. Determine the critical buckling stress (fcr) of a 3-inch-diameter column that's 150 inches high, and pinned at the top and bottom. The column's material has a modulus of elasticity of 1.5 x 1061 psi.
A. 1419.56 psi
B. 1280.44 psi
C. 1480.44 psi
D. 1319.56 psi