a) Find the maximum internal bending moment in the beam below (14 marks) Note, that the 1.5P N should be 1.5P N/m and refer to the triangular load: 1.5PN Let P = 6267 Newtons RMIT Classification: Trusted 0.75P N 7m 5m PN/m
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- The beam is subjected to the distributed loading as shown. Use E = 30,000 ksi, I = 394 in.4 , L = 23 ft, the max load distribution density at B w0 = 5 kip/ft, calculate the deflection at the middle of the beam: ___ in. Use apendix at end of the textbook and write down all the steps which lead to your anser. Pay attention to unit conversion, and calculate your answer to 1 decimal place12 ok nces Required information For the simply supported beam shown, let a=6 ft, b=4 ft, and P= 800 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the shear and moment as functions of position. Enter positive or negative numbers for the internal forces based on the standard sign convention for internal forces. The shear and moment are as follows: V= Ib and M=([ lb and M=( V= b)x for 0 sxs 6 ft Ib)(10 ft-x) for 6 ft sxs 10 ft1. For the same beam used in IC-13, determine the jump in shear stress at the web-flange junction (at point A). V = 20KN. A 200 mm 20 mm B 200 mm 20 mm 300 mm 2. Now cut off the bottom flange and recalculate the maximum shear stress. (Remove the bottom flange so that the beam has a T-shaped cross-section.)
- 5. Analyze the statically indeterminate beam by force method, and draw the bending moment diagram, assume that El is constant. 40KN Bm 3m 6mThe Flexor loading micrometer will be used to load the beam. Calculate the deflection required to bend the beam to the desired strain. Deflection in a cantilever beam b inches wide by t inches thick is: 4PL3 y = Ebt3 %3D (4) where: y= deflection (in), P= force, lbs, L= distance from clamp to loading micrometer (10.0 in), E = Young's modulus for aluminum (10.4E6 psi). %3D %3D Stress at the rosette is given by: Mc/ = 6Px (5) %3D bt2 where: x= the distance from the loading micrometer to the rosette centerline (9.0 in), and P, b and t are as defined above. Using equations (4) and (5) above, determine the deflection required to impose a 15 Kpsi stress in the beam at the gage rosette centerline. What force will be applied by the loading micrometer at 15Kpsi? Do your work in the space below.1. Find the deflection y(x) where:The beam is embedded at x = L and a free end at x = 0. The applied load is w = w0*(1+Sin(πx/L)), wo is the maximum intensity of the load. Also, Find the overall deflection for 304 S.S. and an overall w0 of 3000 lbs. Please solve this using DIFFERENTIAL EQUATION METHOD. Other methods will not get upvote. Thank you.
- Cantilever beam is loaded by three concentrated forces. F, 1 Given: 11= 1Ocm; 1 2 = 25cm; 1 3 = 19cm; F1 = -0.2kN; F , = -0.6kN; F 3 = -1.6kN . Find: algebraical value of reactive moment (in N m) applied at fixed point (considering counterclockwise direction as positive and clockwise as negative). Answer:From the given beam shown below, compute the following: 20 mm 80 mm 160 mm NA 1.0 m 1.0m H– 20 mm 1. Distance between top of the beam to Neutral Axis or "c top". 2. Moment of Inertia at Neutral Axis or "I" 3. What is the maximum safe value of P if the working stress in shear is 6 MPa? 4. Using the maximum safe value of P what is the Maximum shear? 5. Using the maximum safe value of P what is the Maximum Moment?Compute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft. The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans. Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam. Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…
- 2 Find the equation of deflection (under the uniformly distributed load) and calculate the maximum deflection of the floor beam in mm. Given E=200GPA, Ix=87 x 10^6 mm^4 and ly=18.7 x 10^6 mm^4. 1.2 kN/m D -2.4 m- 0.6 m 0.6 mQ1. A cantilever beam is carrying a UVL of 20000N starting at the free end and extends to 100000N to fixed end over a span of 5000mm. The beam also carries 2-point loads of 1000N and 5000N acting on free end and 2m from free end respectively. The material has the modulus of elasticity of 2.05x10^5 N/mm2. Calculate the deflection for the beam considering an addition UDL of 7kN/m for a span of 2 m starting from fixed support. This beam is made up of a unique shape with a block of 200mm x 250mm which had a top chopped off from top with a radius of 10cm.1. Draw shear and moment bending diagrams for the beam below: the stress caused by an internal moment in a cantilever beam. Lab #4-BENDING STRESS 1.0 INTRODUCTION a 2.0 PROCEDURE O.47 0.52 m J MY 2, Find the moment 0.05 m from the left. 3. Calculate the moment of inertia of the beam. 0.025 m bh bh %3D 12 12 0.021 m 0.025 m