Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Calculate the value of the maximum bending moment in the beam. Enter your answer in kNm to three decimal places.
Note: when deriving internal moment equations, use the following orientation of x coordinate:
- Segment AB: x changes from 0 at support A to a at support B. After making the cut, keep the part of the beam left from the cut.
- Segment BC: x changes from a at support B to L at point C, where L = a + b. After making the cut, keep the part of the beam right from the cut, i.e. distance from point C to the cut is equal L-x.
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- A beam is subjected to concentrated force as shown in the figure below. The EI of the entire beam section is constant. Try to draw the Shear Curve and Moment Curve of the beam.arrow_forwardDraw the shear force and bending moment diagrams of the beam whose span and loading condition are given in the figure. Calculate the section rotation (OA) at point A and the vertical displacement (Yc) at point C using the moment are theorem in mm. (EI = 50000 kN.m2) P=3kN L1=4m L2=1.3m A EI L1 (m) B * 2EI L2 (m) C P (KN)arrow_forwardA beam is subjected to force as shown in the figure below. Try to analyze the reaction force of the beam at point A and point C. Assuming that the EI of the entire beam section is constant, try to draw the shear curve and bending moment diagram of the beam. (Moment Curve).arrow_forward
- Please solve the problem in the picture, find all of the reactions and please show the shear, moment and Moment/EI diagrams. Thank you for your help!arrow_forwardIndicate all necessary FBDS, concepts and formulas needed in the solution. Using the three-moment equations, solve for the Following: | 1.2: moments at supports C and D. E is constant 12KN/m 6KN/m 20KNM 2mp 5m 3m 3m 2m 4m A B D E 2.51 21arrow_forwardProblem 1 Using the Moment-Distribution Method, determine the moments at B and C, then draw the moment diagram for the beam. Assume the supports at B and C are rollers and A is a pin. E = 29×10³ ksi, A = 6.49 in², I = 199 inª. 175 lb/ft -10 ft- B - 10 ft -8 ft 150 lb Darrow_forward
- A X Wo = W L = L Slope(x)*El = L Determine the equation for the slope in the beam. Hint: first determine the equation for the internal resultant moment in terms of x, set the moment equation equal to El*d²v/dx², then integrate both sides of the equation to get slope. x + constant₁ B +constant₁ Wo Given: Wo = 5 kN-m L = 3m Find the variables a, b, c and d for the slope equation in the form ax4+ bx³ + cx² + dx + contant1 (Note: terms may be zero) Slope(x) * El Number x4 + Number Number x³ + Number x² +arrow_forward3. Analyze the following beam using slope-deflection method. First indicate the degrees or freedom. Then, find all reactions of the beam and finally draw the shear and moment diagrams. El is constant and the beam is axially rigid. 1 kip 10 kip.ft 1 kips/ft A D 5 ft 5 ft 10 ftarrow_forwardFind the rotation at B for the beam and loading below. The moment diagram for the load P is linear and had magnitude zero at A and PL at C. The moment diagram for a unit moment at B is zero from A to B and unity from B to C. Use P = 1.4 kips, E = 29,000 ksi, L= 16 ft, a = 7 ft, and I = 310 in4. Rotations are in radians. Realistic values of rotation are very small in structures. When you input your answer, multiply the number by 1e6 (enter the value in micro-radians). For example if you calculate 0.003572, provide your answer as 3572.arrow_forward
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