2. The beam shown below supports three distinct HVAC units, one 1000 lb and two 500...
PROBLEM: A simply supported beam is subjected to a harmonic load F(t)-Fo sin ณ at mid-span as a result of the operation of a mechanical system that rotates at a constant speed n rev/min. The beam is made from steel with an elasticity modulus E 29x103 ksi and specific weight 490 lb/ft3. The beam has a cross-sectional area A = 1.59 in, a moment of inertia 1 = 3.85 in, and an approximate viscous damping factor 0.05. The length between...
2) The beam shown is supported by steel member BC as shown. Due to the forked ends on the member, consider the supports at B and C to act as pins for x-x axis buckling and as fixed supports for y-y axis buckling. Member BC is made of A992 steel with a modulus of elasticity of 29,000 ksi and a yield strength of 50 ksi. a) Calculate the maximum allowable load, P, on the system (in kips) considering buckling and...
For the next two problems use the following information: A simply supported Douglas fir wood beam is designed to carry a concentrated load P of 1250 lbr in the center. The distance L between supports is 96 inches. For the beam cross sectional area given below, determine the moment of inertia and deflection. Douglas fir has the following properties: Modulus of Elasticity 1.76 x 100 psi, Density 34 lbm/ff3 Beam dimensions are: Web thickness tw 0.875 in, flange thickness t...
PLEASE SOLVE USING MATLAB The basic differential equation of the elastic curve for a cantilever beam as shown is given as 2 da2 where E = the modulus of elasticity and-the moment of inertia. Show how to use MATLAB ODE solvers to find the deflection of the beam. The following parameter values apply (make sure to do the conversion and use in as the Unit of Length in all calculations): E = 30,000 ksi, I = 800 in4, P-1 kips,...
in copyable matlab code The basic differential equation of the elastic curve for a cantilever beam as shown is given as: dx2 where E = the modulus of elasticity and I = the moment of inertia. Show how to use MATLAB ODE solvers to find the deflection of the beam. The following parameter values apply (make sure to do the conversion and use in as the Unit of Length in all calculations): E 30,000 ksi, 1 800 in4, P kips,...
2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area of 9.12 in- and a depth of 15.88 in. The second moment of area is 375 in". The beam is subjected to a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of the beam is E = 29x106 1b/in. Determine the vertical displacement at node 3 and the rotations at nodes 2 and 3. Also,...
2. (1.5 points) A 24-ft simple span that supports three (3) service concentrated live load of 20 kips each at quarter points is laterally unbraced except at its ends and the center line. If the maximum permissible center line deflection under service live load equal L/400, select the lightest Wsection of 50 ksi steel, considering moment, shear, and deflection. Neglect beanm weight. Use Cb-1.0. 2. (1.5 points) A 24-ft simple span that supports three (3) service concentrated live load of...
(1 point) A simply supported steel beam shown below Click on the image to enlarge is 64 inches long is designed to carry a load of 500 pounds in the center. It has a solid box cross-section as shown b Click on the image to enlarge where b = 2.25 inches and h = 6 inches. Steel has the following material properties: Modulus of Elasticity = 30x10 psi and Density = 490 lbmlft. Determine the moment of inertia, deflection, volume,...
Question 1 (6.7 points) AW12 x 50 steel beam is used as a simply supported beam on span of 24 feet. The beam supports a uniformly distributed load of 1000 lb/ft. Calculate the maximum bending stress. a) 9,560 psi Ob) 11,280 psi Oc) 13,460 psi d) none of the above Question 2 (6.7 points) Determine the number of 2 x 12's that need to be nailed together to build a beam that would support a uniform load of 500 lb/ft...
A) The internal span CD on a continuous beam is deflected as shown (Figure 2) as a result of loads on other portions of the beam, where L = 25 ft , α = 0.75 ∘, β = 0.35 ∘, E = 2.9×104 ksi , and I = 1500 in4 . There is no vertical deflection at either end. What is the internal moment at D? M_D B)The end span EF on a continuous beam is deflected as shown (Figure...