ARCH+150+Midterm+SOLUTIONS+2022

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School

San Francisco State University *

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Course

150

Subject

Computer Science

Date

Feb 20, 2024

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pdf

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13

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ARCHITECTURE 150 MIDTERM EXAM Fall 2022 Student Name: ______________________________ Section: ____________________________________ On my honor, I have neither given nor received assistance in the taking of this exam. Signature: __________________________________ • Any work on the back side of the paper will NOT be graded. Please show all of your work in the spaces provided on the front side of each sheet. • This exam is open book. • You are prohibited from communicating with your classmates or others during the exam. Any student found violating this will
- 2 - Problem 1 (8 pts) Which of the following is the resultant of the two vectors shown above? Note the the drawings are not to scale. ( circle the correct answer) (process work is required for credit – show your work in the space provided below)
- 3 - Problem 2 (4 pts) Match each of the following lateral force resisting systems to its corresponding deflected shape. Write the letter that corresponds to the matching deflected shape in the box under each frame. A B C D E Problem 3 (4 pts) You are working on a hospital in Japan in an area of high seismic risk. At a preliminary design review there are various concepts being considered. Which is the most sensible approach to reduce the dynamic effects of seismic forces on the building? A. 8-story “L” shaped building B. 6-story symmetrical “+” shaped building C. 5-story square building D. You should not build a hospital in a seismic zone
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- 4 - Problem 4B (9 pts) Solve for all the vertical and horizontal reaction forces. Your answers should indicate the location, magnitude, and direction of each reaction force. Problems 4A-B A person weighing 180lbs stands at the end of a cantilevered balcony with the dimensions and supports shown on the right. (process work is required for credit – show your work in the spaces provided below) Draw a free body diagram of the system, replacing the restraints (roller and pin) with all the relevant reaction forces. Problem 4A (3 pts) 10’ 180 lb 5’
- 5 - Problem 5 (4 pts) Which of the beams on the right are statically indeterminate? A. I, II, and III B. I and III C. II and IV D. I and II Problem 6 (4 pts) The shape which a cable assumes when the only load acting on it is its own weight is called a: A. Parabola B. Catenary C. Hyperbola D. Paraboloid Problem 7 (4 pts) The stiffness of a member refers to its resistance to: A. Deformation B. Impact C. Applied loads D. Abrasion
- 6 - Problem 8 (12 pts) Draw the shear and bending moment diagrams for the beam shown below. In order to receive full credit you must clearly identify the following pieces of information: (process work is required for credit – show your work in the space provided below) • Vertical reaction at left end of beam: ______________ • Moment reaction at left end of beam: ______________ • The sign conventions that you are using for your shear and moment diagrams. • Absolute maximum shear in beam: ______________ • Absolute maximum moment in beam: ______________ • Sketch of deflected shape of beam. gid00416 gid00416 gid00038 gid00038
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- 7 - Page provided for Problem 8. gid00416 gid00416 gid00038 gid00038
- 8 - Problem 10 (4 pts) The moment diagram for a beam is shown below. Which of the following is the corresponding shear diagram? (circle the correct answer below) Problem 9 (4 pts) The ratio of stress to strain is called the: A. Plastic range B. Elastic limit C. Modulus of elasticity D. Yield point
- 9 - Problems 11A-C For the given floor plan, assuming a uniformly distributed load acting on the entire floor, answer the three questions below. The floor carries a combined dead and live load of 100psf. (process work is required for credit – draw the tributary area for each question and show your work in the spaces provided below and on the next page) 10 ' 6 ' 6 ’ 4 ' 4 ' 4 ' Col. 1 Col. 5 Col. 9 Col. 13 Col. 16 Col. 2 Col. 6 Col. 3 Col. 8 Col. 7 Col. 4 Col. 10 Col. 11 Col. 12 Col. 15 Col. 14 Col. 17 10 ' Problem 11A (4 pts) Which column carries the most load? ________ Problem 11B (4 pts) Which column carries the least load? ________ Problem 11C (4 pts) What is the magnitude of the load carried by column 11? ________
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- 10 - 10 ' 6 ' 6 ’ 4 ' 4 ' 4 ' Col. 1 Col. 5 Col. 9 Col. 13 Col. 16 Col. 2 Col. 6 Col. 3 Col. 8 Col. 7 Col. 4 Col. 10 Col. 11 Col. 12 Col. 15 Col. 14 Col. 17 10 ' Page provided for Problem 11.
- 11 - Problems 12A-B The following questions refer to the plan below. All shear walls (shown in black) are of identical construction and are 8 feet tall. 3' 5' W N 10' 12' 5' 5' wall A wall B wall D 5' 5' 3' wall C 5' Problem 12A (4 pts) For a lateral load applied in the north direction, you would expect the roof diaphragm to: A. Rotate counter-clockwise B. Rotate clockwise C. Displace north evenly D. Displace north and rotate counter-clockwise Problem 12B (4 pts) For a lateral load applied in the west direction, you would expect the roof diaphragm to: A. Rotate counter-clockwise B. Rotate clockwise C. Displace west evenly D. Displace west and rotate counter-clockwise
- 12 - Problem 14 (6 pts) A beam supports the loads shown. What is the reaction at R1? (process work is required for credit – show your work in the space provided below) A. 20.3 k B. 17.0 k C. 15.3 k D. 13.7 k Problem 13 (6 pts) A solid round rod two inches in diameter and 10 feet long stretches 0.159” when subject to a tensile load of 50,000lbs. What is the modulus of elasticity of the rod? (process work is required for credit – show your work in the space provided below) A. 1,001,000 psi B. 10,010,000 psi C. 12,012,000 psi D. 29,000,000 psi
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- 13 - Problem 15A-B You are exploring preliminary massing models for a project. Which of the following configurations experiences a larger total wind load for loading in the following directions? N E N E Problem 15A (4 pts) Which massing experiences a larger total wind load for wind in the north direction? A. A B. B C. Both the same Problem 15B (4 pts) Which massing experiences a larger total wind load for wind in the east direction? A. A B. B C. Both the same

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