An overhanging beam is subjected to a partial uniform load w = 23 kN/m and two pint loads P1 = 60 kN, P2 =436 kN. The beam has a hinge support at point B, a horizontal roller support at point A with overhangs on both sides as shown. ← P1 (kN) 3 m AD w (kN/m) 5 m P2 (KN) 2 m 7AB 2 m What is the absolute maximum bending moment in kN-m anywhere on the beam? NOTE: ONLY ENTER ABSOLUTE VALUES. For example: if you calculate a max positive moment = 652 and a max negative moment = -450 kN-m, you would enter 652 if you calculate a max positive moment = 333 and a max negative moment = -485 kN-m, you would enter 485

An overhanging beam is subjected to a partial uniform load w = 23 kN/m and two pint loads P1 = 60 kN, P2 =436 kN. The beam has a hinge support at point B, a horizontal roller support at point A with overhangs on both sides as shown. ← P1 (kN) 3 m AD w (kN/m) 5 m P2 (KN) 2 m 7AB 2 m What is the absolute maximum bending moment in kN-m anywhere on the beam? NOTE: ONLY ENTER ABSOLUTE VALUES. For example: if you calculate a max positive moment = 652 and a max negative moment = -450 kN-m, you would enter 652 if you calculate a max positive moment = 333 and a max negative moment = -485 kN-m, you would enter 485

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.5.27P: A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure....

See similar textbooks

Related questions

Q: Question # 1: Draw shear force and bending moment diagrams for the beam shown in Figure below.…

Q: The bending moment in a horizontally placed beam at distance x from one of the ends is given by the…

A: GIVEN DATA - A BENDING MOMENT EQUATION IS GIVEN WE HAVE TO FIND AT WHAT VALUE OF x SHEAR FORCE WILL…

Q: A solid rectangular homogeneous section (total length = 7.2m) is simply supported, where b = 50 mm…

A: Draw the schematic diagram of the beam representing the forces.

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment…

A: Given : The free body diagram is,

Q: F1 F2 F3 F4 By C D (E A a b d

A: As per company's guidelines, we are allowed to answer only 3 sub parts. Kindly post remaining sub…

Q: Determine the minimum allowable height (h) in mm of the beam shown in the figure if the bending…

Q: The simply supported beam is subjected to the force F = 700 N and the uniform distributed load w…

Q: Determine the shear force V (in kN) and bending moment M (in kN • m) just right of the 4.5 kN load…

Q: The 8 m long cantilever beam shown in the figure below carries a uniformly distributed load of 10…

Q: The beam shown where L1= L2-L3-0.5 m. is subjected to a uniform distributed load of w-50 N/m and a…

Q: 1. Calculate reactions at the external supports. 2. Draw the free body diagram. 3. Build the…

A: The objective of the question is to analyze a beam under load and calculate the reactions at the…

Q: 2. Draw a complete shearing force and a bending moment diagram for the for the beam shown in the…

Q: For the simply supported beam subjected to the loads shown. Let a=3.00 m, b=4.00 m, PB = 30kN, and…

A: Given data: ◆ The values of point loads applied on the beam: PB = 30 kN , Pc = 65 kN ◆ The length of…

Q: A solid rectangular homogeneous section (total length = 7.2m) is simply supported, where b = 50 mm…

Q: Question contains a hinge in the middle. Find the shear force and the bending moment at the Figure 3…

Q: External support reactions: RA= RC = RF = The shear and moment at point B are The moment at point C…

A: This question has multiple parts, hence first few parts(3) are answered. We need to calculate the…

Q: beam ABCDE is 5 m in length and loaded as shown in Figure Q3. Draw the S.F. and B.M. diagrams for…

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending moment…

A: According to the given data A loading beam OABCD We need to find Reactions and Shear force and…

Q: Q1. Figure below shows a simply supported beam that has a rectangular cross section 120 mm wide and…

A: Bending Moment Diagram of the beam:-

Q: Consider an 8-m long simply supported T-beam with overhangs loaded as shown below. 200 mm w kN/m 50…

A: Given Data l=8mM=50kN.m ***As per our company policy we are supposed to do only 1 Question if you…

Q: 3. For the structure carrying a uniform load of 4 kN/ m, compute the internal axial force, shear…

A: First draw the free body diagram of the horizontal beam, Then draw the free body diagram of the…

Q: The figure below shows a hollow circular beam with an outside diameter of 250 mm and a wall…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: A 50 KN Im 4 m 3 kN/m 75 kN 37° Draw the shear force diagram and the bending moment diagram for the…

Q: Q2, For the composite section beam shown in figure below. Determine the maximum bending stresses.…

A: N = ratio of Elastic modulii= Esteel /Ewood = 10 we will now develop the equivalent beam

Q: (40 Points) Q1: For the beam Shown in Figure 1 8kN/m 3kN/m 8kN/m 1. Find the reaction at support B…

A: Theory: The Shear force is generally one degree higher than the loading and the bending moment is…

Q: Since beam M in the figure is under simple bending moment, A, B and C Calculate the bending stress…

A: Given data: Table and figure as shown above To determine: Bending stress and shear stress value at…

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment…

Q: 1: Calculate the shear force V and bending moment M at a cross section just to the right of middle…

A: the simply supported beam with point and triangular load as shown below

Question

100%

An overhanging beam is subjected to a partial uniform load w = 23 kN/m and two pint loads P1 =
60 kN, P2 =436 kN. The beam has a hinge support at point B, a horizontal roller support at point A
with overhangs on both sides as shown.
←
P1 (kN)
3 m
AD
w (kN/m)
5m
P2 (KN)
2 m
7AB
2 m
What is the absolute maximum bending moment in kN-m anywhere on the beam? NOTE: ONLY
ENTER ABSOLUTE VALUES.
For example:
if you calculate a max positive moment = 652 and a max negative moment = -450 kN-m, you would
enter 652
if you calculate a max positive moment = 333 and a max negative moment = -485 kN-m, you
would enter 485

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation of support reactions

VIEW

Step 3: Calculation of absolute maximum bending moment

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
.10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances xtand ycfrom the centroid (C1) of the channel alone. Principal axes yl and yvare also shown in the figure and properties Ix1,Iy1and 0pare given. Find the orientation of the neutral axis and calculate the maximum tensile stress exand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 106 nrai4,/;| = 1.602 X 106 mm4, ep= 7.448*(CW),_r£ = 10.70 mm,andvf= 24.07 mm.
Determine the fixed-end moments (MAand MB) and fixed-end forces (R4and Rs) for a beam of length L supporting a triangular load of maximum intensity q0(see figure). Then draw the shear-force and bending-moment diagrams, labeling all critical ordinates.
A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?
Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity q0and beam length variable L. Repeat for structure (b) but find Fand M at m id-span of member BC.
The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?
A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure. The wood beams, which have a thickness I = 2.5 in., are simply supported by horizontal steel beams at A and Ä Construct a graph showing the maximum bending stress tram in the wood beams versus the depth d of the water above the lower support at B. Plot the stress0mas(psi) as the ordinate and the depth d(ft) as the abscissa. Note: The weight density y of water equals 62.4 lb/ft3.
A beam ABC is fixed at end A and supported by beam DE at point B (sec figure). Both beams have the same cross section and are made of the same material. Determine all reactions due to the load P. What is the numerically largest bending moment in cither beam?
The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.
A simple beam ACE is constructed with square cross sections and a double taper (see figure). The depth of the beam at the supports is dAand at the midpoint is dc= 2d 4. Each half of the beam has length L. Thus, the depth and moment of inertia / at distance x from the left-hand end are, respectively, in which IAis the moment of inertia at end A of the beam. (These equations are valid for .x between 0 and L, that is, for the left-hand half of the beam.) Obtain equations for the slope and deflection of the left-hand half of the beam due to the uniform load. From the equations in part (a), obtain formulas for the angle of rotation 94at support A and the deflection Scat the midpoint.
A beam of length L is designed to support a uniform load of intensity q (see figure). If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is qL2/8. However, if the supports of the beam are moved symmetrically toward the middle of the beam (as shown), the maximum bending moment is reduced. Determine the distance a between the supports so that the maximum bending moment in the beam has the smallest possible numerical value. Draw the shear-force and bending-moment diagrams for this condition. Repeat part (a) if the uniform load is replaced with a triangularly distributed load with peak intensity q0= q at mid-span (see Fig. b).