horizontal shear stress

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.

Solution to Problem 571 | Horizontal Shearing Stress

Problem 571
For a beam with the same cross section as that in Prob. 570, plot the shearing stress distribution across the section at a section where the shearing force is V = 1800 lb.

Solution to Problem 570 | Horizontal Shearing Stress

Problem 570
A uniformly distributed load of 200 lb/ft is carried on a simply supported beam span. If the cross-section is as shown in Fig. P-570, determine the maximum length of the beam if the shearing stress is limited to 80 psi. Assume the load acts over the entire length of the beam.

Solution to Problem 569 | Horizontal Shearing Stress

Problem 569
Show that the maximum shearing stress in a beam having a thin-walled tubular section of net area A is τ = 2V / A.

Solution to Problem 568 | Horizontal Shearing Stress

Problem 568
Show that the shearing stress developed at the neutral axis of a beam with circular cross section is τ = (4/3)(V / π r2). Assume that the shearing stress is uniformly distributed across the neutral axis.

Solution to Problem 567 | Horizontal Shearing Stress

Problem 567
A timber beam 80 mm wide by 160 mm high is subjected to a vertical shear V = 40 kN. Determine the shearing stress developed at layers 20 mm apart from the top to bottom of the section.


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