Chapter 10 - Beam Deflections
Announcements Double or quadruple integration is allowed in problems 10.1-28 and on the next quiz. You can decide which method you prefer.
Objectives
Course objective: To learn to calculate the displacements for beams under various loading configurations.
Learning objectives:
- Identify boundary conditions for simply-supported (1.11) and cantilever (1.36) beams.
- Identify the correct distributed-load (0.78), shear-force, bending-moment (0.91), slope (0.76), or elastic-curve (0.99) formulas based on the integration method.
- Calculate the slope (1.41) and/or deflection (1.06) at a particular location in the beam based on the integration method.
- Derive the elastic curve based on the integration method.
- Recognize how to divide overhung and doubly-overhung beams into equivalent combination of simply-supported and cantilever beams.
- Acquire relevant formulas from beam-deflection tables.
- Calculate the slope and/or deflection at a particular location in the beam based on the superposition method.
- simply-supported beams (0.82)
- cantilever beams (0.96)
- overhung beams (0.83)
- doubly-overhung beams (0.75)
The values in orange represent quiz performance. One represents average. Values greater than one represent easier topics. Values less than one represent harder topics.
Concepts (24 minutes)
1. differential equations of the deflection curve video notes 2. deflections by integration video notes 3. method of superposition video notes Demos (1 minute)
1. concrete beam deflection video Problems (120 minutes)
assigned 3e & 2e 1e aids WP format integration 10.001 10.001 -- -- -- 10.002 10.002 video solution -- 10.003 10.003 strategy solution -- 10.004 10.004 -- -- -- 10.005 10.005 video solution -- 10.006 10.006 strategy solution -- 10.007 10.007 -- -- -- 10.008 10.008 -- -- -- 10.009 10.009 strategy solution -- 10.010 10.010 video solution -- 10.011 10.011 -- -- TENU 10.012 10.012 -- -- TENU 10.013 10.013 -- -- TENU yes 10.014 10.014 video solution TENU 10.015 10.015 -- -- -- 10.016 10.016 -- -- -- 10.017 10.017 -- -- -- 10.018 10.018 -- -- -- 10.019 10.019 strategy solution -- 10.020 10.020 -- -- -- 10.021 10.021 -- -- -- 10.022 10.022 -- -- -- 10.023 10.023 -- -- -- 10.024 10.024 -- -- -- 10.025 10.025 -- -- -- 10.026 10.026 -- -- -- 10.027 10.027 -- -- -- 10.028 10.028 -- -- -- discontinuity
functions10.029 -- -- -- TENU 10.030 -- -- -- TENU 10.031 -- -- -- TENU 10.032 -- -- -- TENU 10.033 -- -- -- TENU 10.034 -- -- -- TENU 10.035 -- -- -- TENU 10.036 -- -- -- TENU 10.037 -- -- -- TENU 10.038 -- -- -- TENU 10.039 -- -- -- TENU 10.040 -- -- -- -- 10.041 -- -- -- -- 10.042 -- -- -- TENU 10.043 -- -- -- -- 10.044 -- -- -- -- 10.045 -- -- -- TENU 10.046 -- -- -- GO 10.047 -- -- -- GO 10.048 -- -- -- TENU superposition 10.049 10.029 -- -- TENU yes 10.050a 10.030a video solution GO yes 10.050b 10.030b video solution GO yes 10.050c 10.030c video solution GO yes 10.050d 10.030d video solution GO 10.051a 10.031a strategy solution -- 10.051b 10.031b strategy solution -- 10.051c 10.031c strategy solution -- 10.051d 10.031d strategy solution -- 10.052 10.032 -- -- GO 10.053 10.033 -- -- TENU yes 10.054 10.034 strategy solution TENU 10.055 10.035 -- -- -- yes 10.056 10.036 video solution TENU 10.057 10.037 -- -- TENU yes 10.058 10.038 strategy solution GO 10.059 10.039 -- -- -- 10.060 10.040 video solution -- 10.061 10.041 -- -- TENU yes 10.062 10.042 strategy solution GO 10.063/64 10.043 video solution TENU/GO 10.065 10.044 strategy solution -- yes 10.066 10.045 -- -- GO no/yes 10.067/68 10.046 -- -- --/TENU no/yes 10.069/70 10.047 video solution --/TENU 10.071/72 10.048 strategy solution --/TENU 10.073 10.049 -- -- -- 10.074 10.050 -- -- TENU 10.075 10.051 -- -- TENU 10.076/77 10.052 strategy solution TENU/TENU 10.078/79 10.053 -- -- TENU/-- 10.080 10.054 -- solution TENU 10.081 10.055 -- -- TENU 10.082/83* 10.056 strategy solution TENU/-- 10.084 10.058 strategy solution -- yes 10.085 10.057 -- -- TENU * numbers changed between first and second editions