3 m 250 N/m -2 m B 500 N 2 m

What is the magnitude of the reaction force at RAX and RAY in Newtons What is the magnitude of the reaction force, RBX and RBY in Newtons. 

Given the beam shown below (E=200GPa, I=180x106 mm4, 80mmx300mm), do the following: a. Draw the shear force and bending moment diagrams b. Find the magnitude and location of the maximum tensile bending stress c. Using superposition, find the elastic curve and then the deflection of the beam at B, C, and D 8kN 4kN A B 4m 3m 3m

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) For the cantilever beam shown in Figure Q1, 60 N 40 N/m 80 Nm 1m 1m 1m 1m Figure Q1 (i) write bending moment expression, M(x), using the Macauley's method determine the bending moment using M(x) for specified (ii) cross-sections at E, C and A (iii) justify the bending moment result calculated in (ii) for the free end of the beam at A (b) For a rectangular cross-section of width 100 mm and height 400 mm of a beam, the shear force is 2x106 N. Calculate the shear stress (t) at the following locations: (i) (ii) The top surface (iii) 60 mm from the top surface The neutral axis

QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.

A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.6 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis (i) The moment of inertia =  ii) The radius of curvature is  (iii) The maximum bending stress is iv) The bending stress at the point 0.5 cm from the neutral axis  is

For the beam shown in the figure below, invoke differential relationships between q(x), V(x), and M(x) to draw the shear and bending moment diagrams that result from the given transverse load distribution. Show your work and clearly label your plots. 2 m 100 N/m 200 N. m -1 m-1-1 m 300 N