Solution to Problem 572 | Horizontal Shearing Stress

Problem 572
The T section shown in Fig. P-572 is the cross-section of a beam formed by joining two rectangular pieces of wood together. The beam is subjected to a maximum shearing force of 60 kN. Show that the NA is 34 mm from the top and the INA = 10.57 × 106 mm4. Using these values, determine the shearing stress (a) at the neutral axis and (b) at the junction between the two pieces of wood.
 

Wooden T-beam Made From Rectangular Beams

 

Solution 572

 

Comments

in calculating for the junction between the two pieces of wood can i use Q = (200)*40*14 (if i use the flange)?
if no then plz can u tell me why ? and why u use the area (A') and moment arm(y) of the web while calculating for the flange ?

in calculating for the junction between the two pieces of wood can i use Q = (200)*40*14 (if i use the flange)?

Yes you can; the value of Q will be the same.
 

why u use the area (A') and moment arm(y) of the web while calculating for the flange ?

The answer is convenience and personal preference.
 

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