1 Tension, Compression, And Shear 2 Axially Loaded Members 3 Torsion 4 Shear Forces And Bending Moments 5 Stresses In Beams (basic Topics) 6 Stresses In Beams (advanced Topics) 7 Analysis Of Stress And Strain 8 Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings) 9 Deflections Of Beams 10 Statically Indeterminate Beams 11 Columns Chapter9: Deflections Of Beams
Chapter Questions Section: Chapter Questions
Problem 9.2.1P: The equation of the deflection curve for a cantilever beam is v(x)=m0x22EI Describe the loading... Problem 9.2.2P: The equation of the deflection curve for a simply supported beam is v(x)=q024EI(2Lx3x4L3x) Derive... Problem 9.2.3P: -3 The deflection curve for a simple beam AB (see figure) is given by v=q0x360LEI(7L410L2x2+3x4)... Problem 9.2.4P: The deflection curve for a simple beam AB (sec figure) is given by v=q0L44EIsinxL Describe the load... Problem 9.2.5P: The deflection curve for a cantilever beam AB (sec figure) is given by... Problem 9.2.6P: The deflection curve for a cantilever beam AB (see figure) is given by... Problem 9.3.1P: A simply supported beam is loaded with a point load, as shown in the figure. The beam is a steel... Problem 9.3.2P: A I-meter-long, simply supported copper beam (E = 117 GPa) carries uniformly distributed load q. The... Problem 9.3.3P: A wide-flange beam (W 12 x 35) supports a uniform load on a simple span of length L = 14 ft (see... Problem 9.3.4P: A uniformly loaded, steel wide-flange beam with simple supports (see figure) has a downward... Problem 9.3.5P: What is the span length L of a uniformly loaded, simple beam of wide-flange cross section (see... Problem 9.3.6P: -6 Calculate the maximum deflection of a uniformly loaded simple beam if the span length L = 2.0 m,... Problem 9.3.7P: A cantilever beam with a uniform load (see figure) has a height h equal to 1/8 of the length L. The... Problem 9.3.8P: A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a... Problem 9.3.9P: Obtain a formula for the ratio c/maxof the deflection at the midpoint to the maximum deflection for... Problem 9.3.10P: A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec... Problem 9.3.11P: B cams AB and CDE are connected using rigid link DB with hinges (or moment releases) at ends D and B... Problem 9.3.12P: -12 Derive the equation of the deflection curve for a cantilever beam AB supporting a load P at the... Problem 9.3.13P: -13 Derive the equation of the deflection curve for a simple beam AB loaded by a couple M0at the... Problem 9.3.14P: -14 A cantilever beam AB supporting a triangularly distributed load of maximum intensity q0is shown... Problem 9.3.15P: A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A... Problem 9.3.16P: A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable... Problem 9.3.17P: -17 A cantilever beam AB is acted upon by a uniformly distributed moment (bending moment, not... Problem 9.3.18P: -18 The beam shown in the figure has a sliding support at A and a spring support at B, The sliding... Problem 9.3.19P: -19 Derive the equations of the deflect ion curve for a simple beam AB loaded by a couple M0acting... Problem 9.3.20P: -20 Derive the equations of the deflection curve for a cantilever beam AB carrying a uniform load of... Problem 9.3.21P: -21 Derive the equations of the deflection curve for a cantilever beam AB supporting a distributed... Problem 9.3.22P: -22 Derive the equations of the deflection curve for a simple beam AB with a distributed load of... Problem 9.3.23P: -23 The beam shown in the figure has a sliding support at A and a roller support at B. The sliding... Problem 9.4.1P: -1 Derive the equation of the deflection curve for a cantilever beam AB when a couple M0acts... Problem 9.4.2P: -2 A simple beam AB is subjected to a distrib uted load of intensity q(x) = q0sin x/L, where q0is... Problem 9.4.3P: -3 The simple beam AB shown in the figure has moments 2M0and A/0 acting at the ends. Derive the... Problem 9.4.4P: -4 A beam with a uniform load has a sliding support at one end and spring support at the other. The... Problem 9.4.5P: -5 The distributed load acting on a cantilever beam AB has an intensity q(x) given by the expression... Problem 9.4.6P: -6 A cantilever beam .4B is subjected to a parabolically valying load of intensity q(x)=q0(L2x2)/L2... Problem 9.4.7P: -7 A beam on simple supports is subjected to a parabolically distributed load of intensity q(x) =... Problem 9.4.8P: Derive the equation of the deflection curve for beam AB with sliding support at A and roller at B*... Problem 9.4.9P: -9 Derive the equations of the deflection curve for beam ABC with sliding support at A and roller... Problem 9.4.10P: -10 Derive the equations of the deflection curve for beam AB with sliding support at A and roller... Problem 9.5.1P: A simply supported beam (E = 1600 ksi) is loaded by a triangular distributed load from A to C(see... Problem 9.5.2P: A simply supported beam (E = 12 GPa) carries a uniformly distributed load q = 125 N/m, and a point... Problem 9.5.3P: Copper beam AB has circular cross section with a radius of 0.25 in. and length L = 3 ft. The beam is... Problem 9.5.4P: Beam ABC is loaded by a uniform load q and point load P at joint C. Using the method of... Problem 9.5.5P: A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and... Problem 9.5.6P: A cantilever beam carries a trapezoidal distributed load (see figure). Let wB= 2.5 kN/m, wA=... Problem 9.5.7P: -5-7 A cantilever beam AB carries three equalaly spaced concentrated loads, as shown in the figure.... Problem 9.5.8P: A simple beam AB supports five equally spaced loads P (see figure). Determine the deflection Slat... Problem 9.5.9P: The cantilever beam AB shown in the figure has an extension BCD attached to its free end. A force P... Problem 9.5.10P: Beam ACE hangs from two springs, as shown in the figure. The springs have stiffnesses kxand k2and... Problem 9.5.11P: What must be the equation y =f(x) of the axis of the slightly curved beam AB (see figure) before the... Problem 9.5.12P: -12 Determine the angle of rotation Band deflection Bat the free end of a cantilever beam AB having... Problem 9.5.13P: The cantilever beam ACE shown in the figure has FlexuraI rigidity EI = 2,1 x 106kip-in". Calculate... Problem 9.5.14P: A cantilever beam is subjected to load P at mid-span and counterclockwise moment Mat B (see figure).... Problem 9.5.15P: Use the method of superposition to find the angles of rotation 9Aand SBat the supports, and the... Problem 9.5.16P: Repeat Problem 9,5-15 for the anti-symmetric loading shown in the figure. Problem 9.5.17P: A cantilever beam is subjected to a quadratic distributed load q{x) over the length of the beam (see... Problem 9.5.18P: A beam ABCD consisting of a simple span BD and an overhang AB\s loaded by a force P acting at the... Problem 9.5.19P: A horizontal load P acts at end C of the bracket ABC shown in the figure. Determine the deflection... Problem 9.5.20P: A beam ABC having flexural rigidity EI = 75 kN irT is loaded by a force P = 800 N at end C and tied... Problem 9.5.21P: Determine the angle of rotation 0Band deflection Problem 9.5.22P: -22 A simple beam AB supports a uniform load of intensity q acting over the middle region of the... Problem 9.5.23P: The overhanging beam A BCD supports two concentrated loads P and Q (see figure), For what ratio PIQ... Problem 9.5.24P: A thin metal strip of total weight W and length L is placed across the top of a flat table of width... Problem 9.5.25P: An overhanging beam ABC with flexural rigidity EI = 15 kip-in" is supported by a sliding support at... Problem 9.5.26P: A beam A BCD rests on simple supports at B and C (see figure). The beam has a slight initial... Problem 9.5.27P: The compound beam ABC shown in the figure has a sliding support at A and a fixed support at C. The... Problem 9.5.28P: A compound beam ABC DE (see figure) consists of two parts (ABC and CDE) connected by a hinge (i.e.,... Problem 9.5.29P: A steel beam ABC is simply supported at A and held by a high-strength steel wire at B (see figure).... Problem 9.5.30P: -30. Calculate the deflection at point C of a beam subjected to uniformly distributed load w = 275... Problem 9.5.31P: Compound beam ABC is loaded by point load P = 1.5 kips at distance 2aB from point A and a... Problem 9.5.32P: The compound beam shown in the figure consists of a cantilever beam AB (length L) that is... Problem 9.5.33P: -33 Find the horizontal deflection hand verti cal deflection vat the free end C of the frame ABC... Problem 9.5.34P: The fr a me A BCD shown in the heure is squeezed by two collinear forces P acting at points A and D.... Problem 9.5.35P: A framework A BCD is acted on by counterclockwise moment M at A (see figure). Assume that Elis... Problem 9.5.36P: A framework A BCD is acted on by force P at 2L/3 from 8(see figure). Assume that 7f/is constant.... Problem 9.5.37P: A beam ABCDE has simple supports at B and D and symmetrical overhangs at each end (see figure). The... Problem 9.5.38P: A frame ABC is loaded at point C by a force P acting at an angle öf to the horizontal (see figure).... Problem 9.5.39P: The wing of a large commercial jet is represented by a simplified prismatic cantilever beam model... Problem 9.5.40P: The wing of a small plane is represented by a simplified prismatic cantilever beam model acted on by... Problem 9.5.41P: Find an expression for required moment MA(in terms of q and L) that will result in rotation 9B= 0... Problem 9.5.42P: Find an expression for required moment MA(in terms of q and L) that will result in rotation êB= 0... Problem 9.5.43P: Find required distance d (in terms of L) so that rotation Ss= 0 is due to M and q loadings applied... Problem 9.5.44P: A cantilever beam has two triangular loads as shown in the figure. Find an expression for beam... Problem 9.6.1P: -1 A cantilever beam AB is subjected to a uniform load of intensity q acting throughout its length... Problem 9.6.2P: The load on a cantilever beam AB has a triangular distribution with maximum intensity^ (see figure).... Problem 9.6.3P: A cantilever beam AB is subjected to a concentrated load P and a couple MQacting at the free end... Problem 9.6.4P: Determine the angle of rotation BBand the deflection SBat the free end of a cantilever beam AB with... Problem 9.6.5P: -5 Calen1ate the deflections S 3a nd Problem 9.6.6P: A cantileverbeam^Cßsupportstwo concentrated loads Ptand A, as shown in the figure. Calculate the... Problem 9.6.7P: Obtain formulas for the angle of rotation 0Aat support A and the deflection SajAXat the midpoint for... Problem 9.6.8P: A simple beam AB supports two concentrated loads P at the positions shown in the figure. A support C... Problem 9.6.9P: A simple beam AB is subjected to a load in the form of a couple M0 acting at end B (see figure).... Problem 9.6.10P: -10 The simple beam AB shown in the figure supports two equal concentrated loads P: one acting... Problem 9.6.11P: A simple beam AB is subjected to couples M0and 2A0 acting as shown in the figure. Determine the... Problem 9.7.1P: The cantilever beam ACB shown in the figure has moments of inertia /, and I{in parts AC and CB,... Problem 9.7.2P: The cantilever beam ACB shown in the figure supports a uniform load of intensity q throughout its... Problem 9.7.3P: Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and... Problem 9.7.4P: -4 A simple beam ABCD has moment of inertia I near the supports and moment of iertia 2I in the... Problem 9.7.5P: A beam ABC has a rigid segment from A to B and a flexible segment with moment of inertia / from B to... Problem 9.7.6P: A simple beam ABC has a moment of inertia 1,5 from A to B and A from B to C (see figure). A... Problem 9.7.7P: The tapered cantilever beam AB shown in the figure has a thin-walled, hollow circular cross sections... Problem 9.7.8P: The tapered cantilever beam AB shown in the figure has a solid circular cross section. The diameters... Problem 9.7.9P: A tapered cantilever beam A B supports a concentrated load P at the free end (see figure). The cross... Problem 9.7.10P: A tapered cantilever beam AB supports a concentrated load P at the free end (see figure). The cross... Problem 9.7.11P: Repeat Problem 97-10, but now use the tapered propped cantilever tube A B with sliding support at B... Problem 9.7.12P: A simple beam ACE is constructed with square cross sections and a double taper (see figure). The... Problem 9.8.1P: A uniformly loaded simple beam AB (see figure) of a span length L and a rectangular cross section (b... Problem 9.8.2P: A simple beam AB of length L supports a concentrated load P at the midpoint (see figure). Evaluate... Problem 9.8.3P: A propped cantilever beam AB of length L and with a sliding support at A supports a uniform load of... Problem 9.8.4P: A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with... Problem 9.8.5P: A beam ABC with simple supports at A and B and an overhang BC supports a concentrated load P at the... Problem 9.8.6P: A simple beam ACB supporting a uniform load q over the first half of the beam and a couple of moment... Problem 9.8.7P: The frame shown in the figure consists of a beam ACB supported by a strut CD. The beam has length IL... Problem 9.9.1P: A simple beam AB of length L is loaded at the left-hand end by a couple of moment MQ(see figure).... Problem 9.9.2P: The simple beam shown in the figure supports a concentrated load P acting at distance a from the... Problem 9.9.3P: An overhanging beam ABC supports a concentrated load P at the end of the overhang (see figure). Span... Problem 9.9.4P: The cantilever beam shown in the figure supports a triangularly distributed load of maximum... Problem 9.9.5P: A simple beam ACB supports a uniform load of intensity q on the left-hand half of the span (see... Problem 9.9.6P: A cantilever beam ACB supports two concentrated loads P\ and P-,, as shown in the figure. Determine... Problem 9.9.7P: The cantilever beam A CB shown in the hgure is subjected to a uniform load of intensity q acting... Problem 9.9.8P: The frame A BC support s a concentrated load P at point C (see figure). Members AB and BC have... Problem 9.9.9P: A simple beam ABC DE supports a uniform load of intensity iy (see figure). The moment of inertia in... Problem 9.9.10P: An overhanging beam ABC is subjected to a couple MAat the free end (see figure). The lengths of the... Problem 9.9.11P: An overhanging beam ABC rests on a simple support at A and a spring support at B (see figure). A... Problem 9.9.12P: A symmetric beam A BCD with overhangs at both ends supports a uniform load of intensity q (see... Problem 9.10.1P: A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see... Problem 9.10.2P: An object of weight Wis dropped onto the midpoint of a simple beam AB from a height h (see figure).... Problem 9.10.3P: A cantilever beam AB of length L = 6 It is constructed of a W 8 x 21 wide-flange section (see... Problem 9.10.4P: A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L... Problem 9.10.5P: A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length... Problem 9.10.6P: An overhanging beam ABC with a rectangular cross section has the dimensions shown in the figure. A... Problem 9.10.7P: A heavy flywheel rotates at an angular speed m about its axis of rotation. If the flywheel suddenly... Problem 9.11.1P: A simple beam AB of length L and height /; undergoes a temperature change such that the bottom of... Problem 9.11.2P: A cantilever beam JA of length Land height/; (see figure) is subjected to a temperature change such... Problem 9.11.3P: An overhanging beam ABC of height h has a sliding support at A and a roller at B, The beam is heated... Problem 9.11.4P: A simple beam AB of length L and height h (see figure) is heated in such a manner that the... Problem 9.11.5P: Beam AB has an elastic support kR at A, pin support at B, length L, height h (see figure), and is... Problem 9.3.16P: A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable...
Related questions
Concept explainers
mechanics of deformable bodies
Transcribed Image Text: A simply supported beam with a span of 10m has a uniformly distributed load of 35kN/m all
throughout its span and a concentrated load of 20 kN 3.5 m from its pin support. What is its
maximum shear?
Branch of science that deals with the stationary and moving bodies under the influence of forces.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
