P 2P A В C L 2 Figure A d b Figure B
If possible, answer in 3 decimal places, thank you.
For the wood beam shown in Figure A, assume L=1.5 m and P=8 kN. The beam cross section shown in Figure B has dimensions of b=47 mm and d=232 mm.
(a) Determine the maximum horizontal shear stress in the beam.
(b) If the allowable shear stress for the wood is 800 kPa, what is the minimum width b that is acceptable for this beam?
Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown for the forces By and Dy on the free-body diagram below. (Note: Since Dx=0, it has been omitted from the free-body diagram.)
| By= | kN |
| Dy= | kN |
Determine the shear forces VAB, VBC, and VCD acting in segments AB, BC, and CD, respectively. Note that the shear force is constant in each of these segments. When entering your answers, use the shear force sign convention.
| VAB= | kN |
| VBC= | kN |
| VCD= | kN |
Determine the maximum magnitude shear force in the beam. Enter a positive value for the magnitude.
Vmax= kNCalculate the first moment of area Q about the z centroidal axis for the area of the cross section above horizontal z centroidal axis.
Q= mm3Calculate Iz, the area moment of the area about the z centroidal axis for the cross section.
Iz= mm4Determine the maximum horizontal shear stress magnitude in the beam.
τmax= kPaIf the allowable shear stress for the wood is 800 kPa, what is the minimum width b that is acceptable for this beam?
b= mm
Step by step
Solved in 2 steps with 1 images
