A 2 meter-long uniform hexagonal cantilever beam made from structural steel (rho
ID: 2998538 • Letter: A
Question
A 2 meter-long uniform hexagonal cantilever beam made from structural steel (rho = 8000 kg/m^3) is fixed to a wall. The beam is subject to its own weight (treat as a distributed force in the -z direction) and a force F applied at the end of the beam at the center of the cross-section.
1. What is the total weight of the beam?
A. 1200 N
B. 955 N
C. 1020 N
D. 875 N
E. 1134 N
2. What is the moment area of inertia of the beam cross section about the x-axis?
A. 3.38E-6 m^4
B. 1.232E-6 m^4
C. 4.98E-6 m^4
D. 9.23E-6 m^4
E. 6.54E-6 m^4
3. What is the reaction moment at the wall about the x-axis?
A. 1020 N m
B. 353 N m
C. 520 N m
D. 250 N m
E. 707 N m
4. What is the bending stress at the top of the beam?
A. 7.50 MPa
B. 9.10 MPa
C. 6.66 MPa
D. 12.21 MPa
E. 5.00 MPa
5. The bending stress at the top of the beam is tensile (positive).
A. True
B. False
A 2 meter-long uniform hexagonal cantilever beam made from structural steel (rho = 8000 kg/m^3) is fixed to a wall. The beam is subject to its own weight (treat as a distributed force in the -z direction) and a force F applied at the end of the beam at the center of the cross-section. 1. What is the total weight of the beam? A. 1200 N B. 955 N C. 1020 N D. 875 N E. 1134 N 2. What is the moment area of inertia of the beam cross section about the x-axis? A. 3.38E-6 m^4 B. 1.232E-6 m^4 C. 4.98E-6 m^4 D. 9.23E-6 m^4 E. 6.54E-6 m^4 3. What is the reaction moment at the wall about the x-axis? A. 1020 N m B. 353 N m C. 520 N m D. 250 N m E. 707 N m 4. What is the bending stress at the top of the beam? A. 7.50 MPa B. 9.10 MPa C. 6.66 MPa D. 12.21 MPa E. 5.00 MPa 5. The bending stress at the top of the beam is tensile (positive). A. True B. FalseExplanation / Answer
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