Problem 3. Determine the moments at A, B, C, and D using the...

Problem 3. Determine the moments at A, B, C, and D using the slope-deflection equations. Note that A and D are fixed and B and C are rigid connections. Draw the shear and moment diagrams for the frame. Assume EI is constant. 15 k B 4 k/ft 6 ft -15 ft 6 ft A C

Transcript

00:01 So here we have to determine the moment in the frame abcd which is shown here.

00:06 So this is a frame, this is point a, here is point b, here is point b and this is point c.

00:18 So we have to determine the momentum.

00:21 So here in this question this is basically the free body diagram.

00:25 This is given that is 3 kilo newton per meter, this is 5 centimeter, this is 3 meter, this is 2 meter, a force of 2, 3 kilo newton is acting that is 2 meter.

00:37 So we have to find out the fixed, now we are considering about the fixed end moments.

00:46 So here this is for the part 1, m dash of ab is equals to minus omega multiplied by the l square that is divided by 12.

00:56 So this from here is equals to 3 multiplied by the 5 to its whole square that is divided by 12.

01:01 So solving the term from here we get the value of m dash for ab that is equals to minus 6 .25 kilo newton meter.

01:09 So this is moment about the ab.

01:11 Now we are considering about the moment about ba that is equals to plus 6 .25 kilo newton meter.

01:18 Now we are considering about the moment across bc that is equals to minus rho l which is divided by 8 that is equals to minus 3 multiplied by the 4 which is divided by 8 that is equals to minus 1 .5 kilo newton and the momentum about the point cb is equals to plus 1 .5 kilo newton meter and the momentum about bd is equals to momentum about db that is equals to 0.

01:49 So therefore momentum about ab is equals to momentum about ab plus 2 of e i which is divided by l plus 2 of phi of a plus phi of b...

Question

Problem 3. Determine the moments at A, B, C, and D using the slope-deflection equations. Note that A and D are fixed and B and C are rigid connections. Draw the shear and moment diagrams for the frame. Assume EI is constant. 15 k B 4 k/ft 6 ft -15 ft 6 ft A C

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