A uniform wind load of q = 0.2 kN/m? acts on the billboard with dimensions of b = 1.5 m and a = 1 m. The allowable normal stress is olow = 140 MPa, c = 0.5 m for the circular cross section panel pole. Draw the shear force, bending moment and torsional moment diagrams for the panel pole. a) Calculate the cross-section diameter d, using the maximum shear stress (Tresca) criterion. b) Calculate the cross-section diameter d, using the maximum distortional energy (von Mises) criterion. SOLUTION kesit

Calculate the shear stress at point "a" and the angle of torsion at the end of the bar (section A). The shear modulus of the material is G = 30 GPa

Tutorial questions on shear stresses in beams subjected to non-uniform bending. Question One A hollow aluminum box beam has the square cross section shown in the figure. Calculate the maximum and minimum shear stresses Tmax and Tmin in the webs of the beam due to a shear force V = 125 kN 25 mm -300 mm- 25 mm Question Two The T-beam shown in the figure has cross sectional dimensions as follows: b = 210 mm, t= 16 mm, h = 300 and h₁ = 280. The beam is subjected to a shear force, V = 68 kN. Determine the maximum shear stress Tmax in the web of the beam. hi h C I

A 38-mm-diameter solid steel shaft supports loads PA = 1230 N and Pc = 2170 N, as shown. Assume LAB = 82 mm, LBc = 203 mm, and LCD = 152 mm. The bearing at B can be idealized as a roller support and the bearing at D can be idealized as a pin support. Determine the magnitude omax and location x (measured positive to the left from D) of the maximum bending stress in the shaft. Answers: o max || PA LAB B LBC MPa, x = C Pc LCD D mm.

Find the max shear stress in bending in the cross section below if Vmax = 10 kips. 10" Flange 2" Web 2" 8" Flange 2" 10" • Identify where in the cross section the max shear will occur. Determine the thickness of the cross-section at the location you wish to find shear stress. • Calculate the Ix for the shape (assume bending in the x with most basic beams). • Calculate Q by dividing the section into two pieces at the point you want shear stress. Select one of the pieces (either will work), I picked the top piece. Use the Shear Stress equation to determine the requested stress. Compare you answer: Max shear stress = at the center of the cross section.

a) A steel 4 X 4X 0.25-inch square tube (moment of inertia I = 8.215 inª) is used as a simply supported beam. A 100-pound weight is dropped from a height of 24 inches onto the beam at mid- span. Find the maximum stress in the beam. Use E = 29 X 106 psi. 8 ft k = 200 lb/in 100 lb 8 ft b) Instead of fixed supports, the beam is supported by springs at both ends. Find the maximum stress in the beam when the 100-pound weight is dropped from a height of 24 inches (same beam properties as in part a). 24 in 100 lb 8 ft 24 in 8 ft k = 200 lb/in

Two vertical forces of P = 240 lb are applied to a simply supported beam shown below having the given cross section shown below. Using a = 30 in., L = 84 in., b = 3.0 in., d = 4.0 in., and t = 0.5 in., calculate the bending stresses produced in the top and bottom of the beam.

Find the maximum bending compressive stress in psi, caused by the load P=1100 lbs

glulam beam is loaded by uniformly distributed load pch at one end by point load. The beam has a rectangular cross-section with dimensions 115\times 270 mm^2 and is braced in a rigid direction a. calculate the maximum normal stress in the beam and indicate where it goes. sketch the normal stress distribution across the door section b. calculate the maximum shear stress in the beam, indicate where it goes sketch the shear stress distribution

A WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.