For the steel beam is used to support the loads shown below: a) Draw shear force diagram and bending moment diagram. b) Determine the magnitude and location maximum moment. c) Calculate the maximum stress. Modulus of elasticity (E) = 400 MP , Modulus of rigidity (G) = 78 GPa

For the steel beam is used to support the loads shown below: a) Draw shear force diagram and bending moment diagram. b) Determine the magnitude and location maximum moment. c) Calculate the maximum stress. Modulus of elasticity (E) = 400 MP , Modulus of rigidity (G) = 78 GPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.2P: A wood beam is strengthened using two steel plates as shown in Fig, a. The beam has simple supports...

See similar textbooks

Related questions

Q: Task 2 A force is applied in the beam shown in Figure 2. The beam is made of wood (E= 12.5 GPa, G=13…

A: Given data:E= 12.5 GPaLoad =499 N

Q: Solve the following problem i- Draw the complete shearing force and bending moment diagram for the…

Q: Question 7- SFD & BMD - Simply Beam (UDL) UDL = 6 kN/m 8 m i) Draw the Free-Body Diagram & Find…

Q: 5-43 kN/m 12-8 кN 37.23 KN 30-266 кN 37.23 KN NX.8-31 Gm

Q: For the beam shown in Figure 1, determine (a) the maximum tensile and compressive bending stresses,…

Q: A part of a bracket seat assembly of a bus is shown in the figure below. The load on he bracket…

Q: Figure 1a shows a simply supported beam, AB of length L = 5.6 m, with a uniform distributed load of…

Q: Consider the simply supported beam shown in the figure below. Let x be the distance measured from…

A: Given: The load diagram is shown below,

Q: Solid Mechanics The beam whose support and loading status is given in the figure, a) Draw the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Construct a shearing force(Q) and a bending moment(M) diagrams.

A: Given data To determine Shear force and bending moment diagram

Q: For the beam shown in figure 2, (a) Draw the shear force and bending moment diagrams and determine…

A: Draw the free body diagram of the beam.

Q: Problem #5: For the 2D beam below, with F, = 15 kips, M, =7 kip-ft, and shear and bending moment…

Q: 1. Find the resultant force in a brass beam from a normal stress of 98 MN/m2 with a square…

A: Answer 1: σ=98 MN/m2s=12 mm Need to determine the resultant force in a brass beam.

Q: A simply supported beam subjected to three point loads as shown in the Figure force and bending…

A: Since the beam is symmetric, the reaction forces are equal in magnitude. From the vertical…

Q: The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm…

A: In Question 2b the date is given Moment of area, I=11.50×106 mm4 Depth of the rectangular…

Q: Figure Q1 shows a cantilever beam ABCDE subjected to a uniformly distributed load, w from points B…

A: The loading diagram is Here, the UDL is extended upto point E and a upward counterbalance UDL from…

Q: Figure below shows a beam acted upon a triangular distributed load. What is the magnitude and…

Q: Example 2: Write shear and moment equations for the beams in the following problem. Let x be the…

Q: is made of steel material (210GPa) for the beam given below, beam cross section (dimensions mm) is…

A: 1(a) Please refer the drawing from the problem figure For uniformly distributed load, node forms at…

Q: Question 4 For the beam shown in the figure below: (i) (ii) (iii) Determine all the support…

A: To calculate the reactions,First seperating the beam segments from hinge,The equilibrium equations…

Q: Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two point loads F1 =…

A: (1) To find: The reactions RA and RB at points A and B. Free body diagram: The FBD of system shown…

Q: 200 kN/m 140 kN I (m) 5 10 7.5 Figure.2: Encastré beam under variety of loads Your tasks are as…

Q: For the beam in Figure Q2-a, the reactions Ay = 3.3 kN and By = 36.7 kN: a) Draw to scale the SFD,…

Q: Sketch bending moment diagram for the loading acting on the beam as shown in Figure Q4. From your…

A: Draw the free-body diagram of the beam. Apply moment equilibrium about point A.…

Q: For the structural beam loaded and supported as shown in Figure 2, (a) Draw a free body diagram and…

A: This question is related to the topic of mechanics of the solid. now reactions are the support used…

Q: Task 2: Determine expressions for the distributions of bending moment and shearing force for the…

A: The given beam is an overhanging beam. And to determine the shear force and bending moment first we…

Q: 1. A beam of length L is simply supported shown as follows. A concentrated force F is applied at…

Q: Find the formula for the maximum stress of a cantilever beam that have four concentrated load at any…

Q: QI : In the following fig the truss is loaded by a force (P) at point ( G) and ( 2p) at point (F)…

A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: A W 310 X 52 steel beam is subjected to a point load P = 56 kN and a transverse load V = 15kN at B.…

Q: 5.17 Determine the maximum bending stress in the steel beam with the circular cross section. 400 lb…

Q: he beam is subjected to a point load and a distribution load as shown in Figure 2-1 below, and the…

Q: Home Work: 1. Draw shear force and bending moment diagrams for the beam shown in figure. 30kN 2m…

Q: Determine the magnitude, type and location of the maximum flexural stress

Q: Home Work: 1. Draw shear force and bending moment diagrams for the beam shown in figure. 30kN 2m…

Q: Take P = 3000N/m Take L =2 a) Find an expression for the internal moment for Section 1. Show all…

A: given data; load density(w1)=5KN/m=5000 N/mload…

Q: (a) The Figure la show the cross-section of a beam. All dimension are in cm. 10 2 10 Figure la (i)…

Q: Choose the correct option . In beam model, which of the following is proportional to curvature of…

A: The first derivative of the deflection is equal to the tangent of the deflection. Second derivative…

Q: c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000…

A: Given:I=11.5*106 mm4d=180 mmb=23.66 (from previous part)Mmax=25000 Nm

Q: A homogeneous, prismatic beam shown in the figure has a weight of 4.7 kN/m and is carrying a…

Q: The shaft in Figure B1 is subjected to the concentrated forces shown. T sleeve bearings at A and B…

Q: Figure Q2a shows an asymmetric cross-section of solid beam, calculate the centroid for the beam…

A: Area of section 1, A1=(75-10)15=975 mm2 Area of the section 2, A2=(145)10=1450 mm2 Area of the…

Q: QI : In the following fig the truss is loaded by a force (P) at point ( G) and ( 2p) at point (F)…

Q: For the beam shown in Figure below and values provided below, neatly draw the Shear Force and…

A: Given data: The magnitude of the force P1 = 80 kN. The magnitude of the force P2 = 80 kN. The…

Q: Solve the following problem i- Draw the complete shearing force and bending moment diagram for the…

A: Consider the FREE BODY DIAGRAM: Balancing forces in vertical…

Q: 1. Draw shear force and bending moment diagrams for the beam shown in figure. 30kN 2m B 10KN/m C 10m…

A: Problem 1

Q: Draw the Shear Force and Bending Moment diagrams stating the important values

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

For the steel beam is used to support the loads shown below:
a) Draw shear force diagram and bending moment diagram.
b) Determine the magnitude and location maximum moment.
c) Calculate the maximum stress.
Modulus of elasticity (E) = 400 MP , Modulus of rigidity (G) = 78 GPa

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 11 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

Two flat beams AB and CD, lying in horizontal planes, cross at right angles and jointly support a vertical load P at their midpoints (see figure). Before the load P is applied, the beams just touch each other. Both beams are made of the same material and have the same widths. Also, the ends of both beams are simply supported. The lengths of beams AB and CD are LABand LCD, respectively. What should be the ratio tABltCDof the thicknesses of the beams if all four reactions arc to be the same?
A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an upward load P = 35 kips at its free end. (a) Find the state of stress ((7T, o^., and r in ksi) on a plane-stress element at L/2 that is i/ = 8 in. up from the bottom of the beam. Find the principal normal stresses and maximum shear stress. Show these stresses on sketches of properly oriented elements. (b) Repeat part (a) if an axial compressive centroidal load N = 40 kips is added at B
Find support reactions at A and D and then calculate the axial force N. shear force 1 and bending moment 11 at mid-span of column BD. Let L = 4 m, q0 = 160N/m, P = 200N, and M0= 380 N .m.
A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide). The wood and the steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M. = 75 kip-in. Calculate the required thickness of the steel plate based on the following limit states: Allowable compressive stress in the wood = 2 ksi Allowable tensile stress in the wood = 2 ksi Allowable tensile stress in the steel plate = 16 ksi Assume that Ew= 1,500 ksi and es= 30,000 ksi.
A wood beam is strengthened using two steel plates as shown in Fig, a. The beam has simple supports and an overhang and is subjected to a point load and a uniform load as shown in Fig. b. Calculate the maximum tensile and compressive stresses of the beam. Assume that Ew= 11 GPa and Es= 200 GPa.
The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7
MA MB= Mc= MD= Required information For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V=50 lbf/in and V2 = 7 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Hinge = 1400 lbf/ A BI AC R₂ R₁ 4 in 4 in 2 in V1 Determine the values of the moments at points A, B, C, and D. lbf.in lbf.in lbf.in Ibf.in V2 D R₂
60 kN 12 kN/m 200 kN.m Ca B 5 m A -5 m -10 m- 5 m- a) Determine the reactions at supports B (pin) and C (roller). b) Determine the internal loading at x= 10 m (point E) measured from point A. Write functions for shear force (V) in terms of x d) Write functions for bending moment (M) in terms of x. Draw Shear Force Diagram (SFD) for whole beam f) Draw Bending Moment Diagram (BMD) for whole beam g) Determine the maximum moment Mmax With its location
the same magnitude of stress in compression. For points not on a surface of the beam, we can use Omax /c = -o/y Part A - Moment Required to Produce a Given Stress to rewrite the flexure formula in the more general form The cross-section of a wooden, built-up beam is shown below. The dimensions are L = 220 mm and w = 40 mm. Му (Figure 1) Determine the magnitude of the moment M that must be applied to the beam to create a compressive stress of op = 30 MPa at point D. Also calculate the maximum stress developed in the beam. The moment M is applied in the vertical plane about the geometric center of the beam. Figure Express your answers, separated by a comma, to three significant figures. 'D M =, kN-m, MPa Omax =
the same magnitude of stress in compression. For points not on a surface of the beam, we can use Omax /c = -o/y Part A - Moment Required to Produce a Given Stress to rewrite the flexure formula in the more general form The cross-section of a wooden, built-up beam is shown below. The dimensions are L = 220 mm and w = 40 mm. Му (Figure 1) Determine the magnitude of the moment M that must be applied to the beam to create a compressive stress of op = 30 MPa at point D. Also calculate the maximum stress developed in the beam. The moment M is applied in the vertical plane about the geometric center of the beam. Figure Express your answers, separated by a comma, to three significant figures. > View Available Hint(s) 'D Vo AEd vec ? kN-m, MPа M =. Omax= Submit
The beam is supported at A and B as shown in (Figure 1). Suppose that F = 5 kip and w = 350 lb/ft. Normal Force at point D -5.00 kip. a) Determine the shear force at point D Express your answer in kilopounds to three significant figures. b) Determine the moment at point D. Express your answer in kilopound-feet to three significant figures.