A horizontal prismatic beam with span of 3 meters is fixed at the left end and free at the right end (cantilever). The beam is subjected to a downward vertical concentrated load equal to 10 kiloNewtons acting at a point 2 meters to the right of the fixed end and a clockwise concentrated moment equal to 15 kiloNewton-meters acting at the free end. The beam material has a modulus of elasticity of 200 GigaPascals. The beam cross-section has a moment of inertial equal to 100,000,000 millimeters^4. (The expression x^y means that x is raised to the power y). 1. Which of the following most nearly gives the deflection at the free end in millimeters, if the concentrated load were acting alone? a. 2.33 mm b. 2.45 mm c. 2.21 mm d. 1.92 mm 2. Which of the following most nearly gives the deflection at the free end, in millimeters, if the moment were acting alone? a. 2.571 mm b. 3.141 mm c. 3.149 mm d. 3.375 mm 3. Which of the following most nearly gives the maximum deflection, in millimeters? a. 5.077 mm b. 5.705 mm c. 6.205 mm d. 5.406 mm
A horizontal prismatic beam with span of 3 meters is fixed at the left end and free at the right end (cantilever). The beam is subjected to a downward vertical concentrated load equal to 10 kiloNewtons acting at a point 2 meters to the right of the fixed end and a clockwise concentrated moment equal to 15 kiloNewton-meters acting at the free end. The beam material has a modulus of elasticity of 200 GigaPascals. The beam cross-section has a moment of inertial equal to 100,000,000 millimeters^4. (The expression x^y means that x is raised to the power y). 1. Which of the following most nearly gives the deflection at the free end in millimeters, if the concentrated load were acting alone? a. 2.33 mm b. 2.45 mm c. 2.21 mm d. 1.92 mm 2. Which of the following most nearly gives the deflection at the free end, in millimeters, if the moment were acting alone? a. 2.571 mm b. 3.141 mm c. 3.149 mm d. 3.375 mm 3. Which of the following most nearly gives the maximum deflection, in millimeters? a. 5.077 mm b. 5.705 mm c. 6.205 mm d. 5.406 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A horizontal prismatic beam with span of 3 meters is fixed at the left end and free at the right end (cantilever). The beam is subjected to a downward vertical concentrated load equal to 10 kiloNewtons acting at a point 2 meters to the right of the fixed end and a clockwise concentrated moment equal to 15 kiloNewton-meters acting at the free end. The beam material has a modulus of elasticity of 200 GigaPascals. The beam cross-section has a moment of inertial equal to 100,000,000 millimeters^4.
(The expression x^y means that x is raised to the power y).
(The expression x^y means that x is raised to the power y).
1. Which of the following most nearly gives the deflection at the free end in millimeters, if the concentrated load were acting alone?
a. 2.33 mm
b. 2.45 mm
c. 2.21 mm
d. 1.92 mm
2. Which of the following most nearly gives the deflection at the free end, in millimeters, if the moment were acting alone?
a. 2.571 mm
b. 3.141 mm
c. 3.149 mm
d. 3.375 mm
3. Which of the following most nearly gives the maximum deflection, in millimeters?
a. 5.077 mm
b. 5.705 mm
c. 6.205 mm
d. 5.406 mm
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