5. Use discontinuity functions or superposition tables to determine the deflection of the tube at...
An alumninum (E = 68.9 GPa) cylindrical tube has an outer diameter of 200 mm, a wall thickness of 7.5 mm, and an internal pressure of 5 MPa. It is subjected to a force with the axial and transverse components shown acting at the centroid of the free end of the tube 1. Verify that the tube meets the thin-wall criterion 2. Draw the left half of the tube, and show the equivalent force-couple system acting at the centroid of...
P10.035 (Multistep) For the beam and loading shown, use discontinuity functions to compute (a) the deflection of the beam at A and (b) the deflection of the beam at C. Assume a constant value of EI 26000 kN m for the beam. Also, assume P-31 kN, W 23 kN/m, wc -62 kN/m, a -2.1 m, b-3.7 m, and c1.3m WB *Part 1 Calculate the reaction forces B, and D acting on the beam. Positive values for the reactions are indicated...
deflection using superposition and integration For the beam below determine the following a). Deflection at point C superposition b). Check your answer in (a) at point C using integration Note: E = 210 x 103 N/mm2 , lxx = 940 x 106 mm" dZy M 2 EI = 20 kN 1 m 8 kN/m Ci 爿 3 m
Problem 2) Use the method of superposition to determine V, (the deflection of point B) of the pictured 8-m long steel beam. The beam experiences a clockwise moment at point A, MA = 80KN m, and a distributed load, w = 40 kN/m acting upwards along the beam from point B to point C. The elastic modulus of steel is E = 200 GPa and the moment of inertia for this beam is 12 = 150 106 mm*. The specific...
problem 1,2 Use the method of superposition to solve the following four problems: 1. The 9 m long cantilever beam shown below is fixed at the left end and supports a 70 kN point load at the free end (Point C) and a 300 kN-m "point couple" (clockwise) at Point B. You must use the method of superposition (along with the appropriate formulas from inside the front cover of your textbook, or from the class handout) to determine the slope...
Please explain steps if possible. I want to understand the material. Thank you. Q.1) For the beam shown below (E = 200 GPa, I = 216 x 100 mm*), find the deflection of point B (a) use discontinuity functions, (b) use superposition method. 80 kN 140 kN/m 50 kN/m 1.5 m 1.5 m 1.5 m 1.5 m
Check my work For the cantilever beam and loading shown, determine the slope and deflection at end C. Use P = 9 kN and E= 200 GPa. (Round the final answers to two decimal places.) P Р B I A $100 X 11.5 -0.75 m 0.5 m The slope at end Cis The deflection at end Cis x 10m rad . -3 mm.
For the cantilever beam and loading shown, use the method of superposition to determine (a) the slope at point A, (b) the deflection at point A. Use E 200 GPa. Hint: Use the expression found in Problem 1 for the tri angular load. 120 kN/m W360 × 64 20 kN 2.1 m
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...